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Journal articles on the topic 'Running of coupling constants'

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Published: 3 June 2025

Last updated: 31 July 2025

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1

GIUNTI, C., C. W. KIM, and U. W. LEE. "RUNNING COUPLING CONSTANTS AND GRAND UNIFICATION MODELS." Modern Physics Letters A 06, no. 19 (1991): 1745–55. http://dx.doi.org/10.1142/s0217732391001883.

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The evolution of the gauge coupling constants in the SU (N) and SO (N) grand unification models is examined. It is shown that the three coupling constants αs, α2, α1 in the minimal SU(5) model do not merge into one at 99% confidence level when they are extrapolated from the values at the mass scale MZ, whereas in its supersymmetric version, the coupling constants do merge into one within one standard deviation. In the SU (N) (with N > 5) models with a two-step symmetry breaking the coupling constants can merge into one, but these models are ruled out by the constraint imposed on the unifica

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2

Lombardo, Fernando C., and Francisco D. Mazzitelli. "Einstein-Langevin equations from running coupling constants." Physical Review D 55, no. 6 (1997): 3889–92. http://dx.doi.org/10.1103/physrevd.55.3889.

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3

Qing, Ji, Yu Kai, Yu Hui, Wang Yong-Hong, and Zhao Tong-Jun. "Running Coupling Constants in N-N Interaction." Communications in Theoretical Physics 36, no. 1 (2001): 44–46. http://dx.doi.org/10.1088/0253-6102/36/1/44.

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4

Boosé, D., J. L. Jacquot, and J. Polonyi. "Running coupling constants of the Luttinger liquid." Physics Letters A 347, no. 4-6 (2005): 191–99. http://dx.doi.org/10.1016/j.physleta.2005.07.054.

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5

Wiesendanger, C., and A. Wipf. "Running Coupling Constants from Finite Size Effects." Annals of Physics 233, no. 1 (1994): 125–61. http://dx.doi.org/10.1006/aphy.1994.1063.

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6

BASTERO-GIL, M., V. MANÍAS, and J. PÉREZ-MERCADER. "THRESHOLD EFFECTS AND PERTURBATIVE UNIFICATION." International Journal of Modern Physics A 10, no. 03 (1995): 373–88. http://dx.doi.org/10.1142/s0217751x95000164.

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We discuss the effect of the renormalization prescription in the computation of the unification point for running coupling constants. We explore the effects of threshold crossing on the β functions. We compute the running of the coupling constants of the Standard Model, between mz and Mp, using a mass-dependent subtraction procedure, and then compare the results with [Formula: see text] and with the θ function approximation. We also do this for the minimal supersymmetric extension of the Standard Model. In the latter, the bounds on SUSY masses that one obtains by requiring perturbative unifica

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7

BAILIN, DAVID, and ALEX LOVE. "FRACTIONAL CHARGED COLOR SINGLET STATES AND STRING UNIFICATION." Modern Physics Letters A 07, no. 16 (1992): 1485–95. http://dx.doi.org/10.1142/s0217732392001154.

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The question of whether contributions of exotic multiplets of the gauge group to the running of gauge coupling constants from the string scale to low energy can lead to consistency with the precision low energy values of gauge couplings is discussed for theories with SO(6)×SO(4), SU(3)×SU(3)×SU(3) and flipped SU(5)×U(1) grand unification.

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8

SÁNCHEZ-VEGA, BRUCE L., and ILYA L. SHAPIRO. "THE CASE OF ASYMPTOTIC SUPERSYMMETRY." Modern Physics Letters A 28, no. 14 (2013): 1350053. http://dx.doi.org/10.1142/s0217732313500533.

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We start systematic investigation for the possibility to have supersymmetry (SUSY) as an asymptotic state of the gauge theory in the high energy (UV) limit, due to the renormalization group running of coupling constants of the theory. The answer on whether this situation takes place or not, can be resolved by dealing with the running of the ratios between Yukawa and scalar couplings to the gauge coupling. The behavior of these ratios does not depend too much on whether gauge coupling is asymptotically free (AF) or not. It can be shown that the UV stable fixed point for the Yukawa coupling is n

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9

Zisheng, Wang, Ma Zhongyu, and Zhuo Yizhong. "Running coupling constants in Walecka model and renormalization-group equations." Physical Review C 55, no. 6 (1997): 3159–62. http://dx.doi.org/10.1103/physrevc.55.3159.

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10

Shojaei-Fard, Ali. "Non-perturbative β-functions via Feynman graphons". Modern Physics Letters A 34, № 14 (2019): 1950109. http://dx.doi.org/10.1142/s0217732319501098.

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11

DIAZ, RODOLFO A., D. GALLEGO, and R. MARTINEZ. "RENORMALIZATION GROUP AND GRAND UNIFICATION WITH 331 MODELS." International Journal of Modern Physics A 22, no. 10 (2007): 1849–74. http://dx.doi.org/10.1142/s0217751x07036142.

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By making a renormalization group analysis we explore the possibility of having a 331 model as the only intermediate gauge group between the standard model and the scale of unification of the three coupling constants. We shall assume that necessarily there is no group of grand unification at the scale of convergence of the couplings. With this scenario, different 331 models and their corresponding supersymmetric versions are considered, and we find the versions that allow the symmetry breaking described above. Besides, the allowed interval for the 331 symmetry breaking scale, and the behavior

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12

Dalvit, Diego A. R., and Francisco D. Mazzitelli. "Running coupling constants, Newtonian potential, and nonlocalities in the effective action." Physical Review D 50, no. 2 (1994): 1001–9. http://dx.doi.org/10.1103/physrevd.50.1001.

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13

Schmidhuber, Christof. "Exactly marginal operators and running coupling constants in two-dimensional gravity." Nuclear Physics B 404, no. 1-2 (1993): 342–58. http://dx.doi.org/10.1016/0550-3213(93)90483-6.

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14

Korzec, Tomasz. "Determination of the Strong Coupling Constant by the ALPHA Collaboration." EPJ Web of Conferences 175 (2018): 01018. http://dx.doi.org/10.1051/epjconf/201817501018.

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A high precision determination of the strong coupling constant in the MS scheme at the Z-mass scale, using low energy quantities, namely pion/kaon decay constants and masses, as experimental input is presented. The computation employs two different massless finite volume renormalization schemes to non-perturbatively trace the scale dependence of the respective running couplings from a scale of about 200 MeV to 100 GeV. At the largest energies perturbation theory is reliable. At high energies the Schrödinger-Functional scheme is used, while the running at low and intermediate energies is comput

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15

NOVIKOV, V. A., L. B. OKUN, and M. I. VYSOTSKY. "THE q2 DEPENDENCE OF W AND Z COUPLING CONSTANTS IN THE INTERVAL $ \le \left| {q^2 } \right| \le m_Z^2 $." Modern Physics Letters A 09, no. 16 (1994): 1489–93. http://dx.doi.org/10.1142/s0217732394001325.

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The gauge coupling constants of W and Z bosons, αW and αZ, are not running unless [Formula: see text] Their dependence on q2 is given by simple expressions and is very weak in the interval [Formula: see text] compared to that of the photon.

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16

PANKOV, ALEXANDER A., and NELLO PAVER. "MODEL-INDEPENDENT TESTS OF LEPTON CONTACT INTERACTIONS IN BHABHA AND MØLLER SCATTERING AT A POLARIZED LINEAR COLLIDER." International Journal of Modern Physics A 20, no. 31 (2005): 7392–403. http://dx.doi.org/10.1142/s0217751x05031204.

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We discuss the sensitivity to electron-electron contact-interactions of the processes e+e- → e+e- and e-e- → e-e- at a Linear Collider running in both e+e- and e-e- modes, with both longitudinally polarized beams. We emphasize the crucial role of polarized cross section measurements in deriving model-independent constraints on the new coupling constants, and the complementarity of the two processes as regards the different chiralities involved. We assess the reach on the values of contact-couplings expected at the planned Linear Collider.

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17

MIRANSKY, V. A., TATSUHIKO NONOYAMA, and KOICHI YAMAWAKI. "ON THE PHASE DIAGRAM OF ASYMPTOTICALLY FREE GAUGE THEORIES WITH ADDITIONAL FOUR-FERMION INTERACTION." Modern Physics Letters A 04, no. 15 (1989): 1409–17. http://dx.doi.org/10.1142/s021773238900160x.

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In the ladder asymptotically free gauge models with one-loop running coupling constant and additional four-fermion interaction, the structure of the phase diagram in coupling constants is determined. The anomalous dimension γm of the composite operator [Formula: see text] is calculated on the full critical line of the diagram. The possibilities of the examination of the phase diagram of such theories in lattice computer simulations are discussed.

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18

BENNETT, D. L., and H. B. NIELSEN. "PREDICTIONS FOR NON-ABELIAN FINE STRUCTURE CONSTANTS FROM MULTIPLE POINT CRITICALITY." International Journal of Modern Physics A 09, no. 29 (1994): 5155–200. http://dx.doi.org/10.1142/s0217751x94002090.

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In developing a model for predicting the non-Abelian gauge coupling constants, we argue for the phenomenological validity of a “principle of multiple point criticality.” This is supplemented with the assumption of an “(grand) antiunified” gauge group SMG N gen ~ U(1) N gen × SU(2) N gen × SU(3) N gen which, at the Planck scale, breaks down to the diagonal subgroup. (Ngen is the number of generations, which is assumed to be three.) According to this principle of multiple point criticality, the Planck scale experimental couplings correspond to multiple point couplings of the bulk phase transitio

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19

EFREMOV, VLADIMIR N., ALFONSO M. HERNÁNDEZ MAGDALENO, and CLAUDIA MORENO. "TOPOLOGICAL ORIGIN OF THE COUPLING CONSTANTS HIERARCHY IN KALUZA–KLEIN APPROACH." International Journal of Modern Physics A 25, no. 13 (2010): 2699–733. http://dx.doi.org/10.1142/s0217751x10048482.

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We consider an Abelian BF-model in the frame of ten-dimensional Kaluza–Klein approach on the space T2×X×M, where X belongs to the class of four-dimension decorated plumbed cobordisms (dp-cobordisms) and M is an An-1-singularity resolution manifold homeomorphic to a compactified ALE space. These four-dimensional manifolds with boundaries possess nontrivial cohomology properties that lead to a specific generalization of the Dirac quantization conditions and enables us to express classical partition functions in terms of 4-form fluxes through the direct product of nontrivial 2-cycles associated w

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20

HAMBER, HERBERT W., and REIKO TORIUMI. "INCONSISTENCIES FROM A RUNNING COSMOLOGICAL CONSTANT." International Journal of Modern Physics D 22, no. 13 (2013): 1330023. http://dx.doi.org/10.1142/s0218271813300231.

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We examine the general issue of whether a scale dependent cosmological constant can be consistent with general covariance, a problem that arises naturally in the treatment of quantum gravitation, where coupling constants generally run as a consequence of renormalization group effects. The issue is approached from several points of view, which include the manifestly covariant functional integral formulation, covariant continuum perturbation theory about two dimensions, the lattice formulation of gravity, and the nonlocal effective action and effective field equation methods. In all cases we fin

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21

NI, GUANG-JIONG, GUO-HONG YANG, RONG-TANG FU, and HAIBIN WANG. "RUNNING COUPLING CONSTANTS OF FERMIONS WITH MASSES IN QUANTUM ELECTRODYNAMICS AND QUANTUM CHROMODYNAMICS." International Journal of Modern Physics A 16, no. 16 (2001): 2873–94. http://dx.doi.org/10.1142/s0217751x01001756.

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Based on a simple but effective regularization-renormalization method (RRM), the running coupling constants (RCC) of fermions with masses in quantum electrodynamics (QED) and quantum chromodynamics (QCD) are calculated by renormalization group equation (RGE). Starting at Q=0 (Q being the momentum transfer), the RCC in QED increases with the increase of Q whereas the RCCs for different flavors of quarks with masses in QCD are different and they increase with the decrease of Q to reach a maximum at low Q for each flavor of quark and then decreases to zero at Q→0. Thus a constraint on the mass of

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22

Mukaida, Hisamitsu. "An asymptotic formula for marginal running coupling constants and universality of loglog corrections." Journal of Physics A: Mathematical and General 37, no. 45 (2004): 10815–29. http://dx.doi.org/10.1088/0305-4470/37/45/007.

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23

ODINTSOV, SERGEI D., and YONGSUNG YOON. "WILSONIAN BLACK HOLE ENTROPY IN QUANTUM GRAVITY." International Journal of Modern Physics A 11, no. 16 (1996): 2823–34. http://dx.doi.org/10.1142/s0217751x96001371.

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Using the Wilsonian procedure (renormalization group improvement) we discuss the finite quantum corrections to black hole entropy in renormalizable theories. In this way, the Wilsonian black hole entropy is found for GUT’s (of asymptotically free form, in particular) and for the effective theory for the conformal factor aiming to describe quantum gravity in the infrared region. The off-critical regime (where the coupling constants are running) for the effective theory for the conformal factor in quantum gravity (with or without torsion) is explicitly constructed. The corresponding renormalizat

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24

O'CONNOR, DENJOE, J. A. SANTIAGO, C. R. STEPHENS, and A. ZAMORA. "TWO-LOOP CROSSOVER SCALING FUNCTIONS OF THE O(N) MODEL." International Journal of Modern Physics A 25, no. 29 (2010): 5349–68. http://dx.doi.org/10.1142/s0217751x10050767.

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Using Environmentally Friendly Renormalization, we present an analytic calculation of the series for the renormalization constants that describe the equation of state for the O(N) model in the whole critical region. The solution to the beta-function equation, for the running coupling to order two loops, exhibits crossover between the strong coupling fixed point, associated with the Goldstone modes, and the Wilson–Fisher fixed point. The Wilson functions γλ, γφ and γφ2, and thus the effective critical exponents associated with renormalization of the transverse vertex functions, also exhibit non

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25

Fabiano, Nikola. "Beta functions in the quantum field theory." Vojnotehnicki glasnik 70, no. 1 (2022): 157–68. http://dx.doi.org/10.5937/vojtehg70-32131.

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Introduction/purpose: The running of the coupling constant in various Quantum Field Theories and a possible behaviour of the beta function are illustrated. Methods: The Callan-Symanzik equation is used for the study of the beta function evolution. Results: Different behaviours of the coupling constant for high energies are observed for different theories. The phenomenon of asymptotic freedom is of particular interest. Conclusions: Quantum Electrodynamics (QED) and Quantum Chromodinamics (QCD) coupling constants have completely different behaviours in the regime of high energies. While the firs

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26

TOMS, DAVID J. "LOW ENERGY QUANTUM GRAVITY, THE COSMOLOGICAL CONSTANT AND GAUGE COUPLING CONSTANTS." International Journal of Modern Physics D 17, no. 13n14 (2008): 2447–51. http://dx.doi.org/10.1142/s0218271808013923.

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Robinson and Wilczek have suggested that loop corrections in quantum gravity can alter the running gauge coupling constants from the behaviour found in the absence of gravity. Although their original calculation is not correct, the basic idea behind their paper has been re-examined recently for quantized Einstein–Maxwell theory with a cosmological constant. In this essay I discuss some of the issues surrounding the calculation and mention some of the implications. I argue that it is possible for a theory that is not conventionally asymptotically free to become so in the presence of gravity, an

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27

LAPERASHVILI, L. V., D. A. RYZHIKH, and H. B. NIELSEN. "PHASE TRANSITION COUPLINGS IN U(1) and SU(N) REGULARIZED GAUGE THEORIES." International Journal of Modern Physics A 16, no. 24 (2001): 3989–4009. http://dx.doi.org/10.1142/s0217751x01005067.

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Using a two-loop approximation for β functions, we have considered the corresponding renormalization group improved effective potential in the dual Abelian Higgs model (DAHM) of scalar monopoles and calculated the phase transition (critical) couplings in U(1) and SU (N) regularized gauge theories. In contrast to our previous result α crit ≈0.17, obtained in the one-loop approximation with the DAHM effective potential (see Ref. 20), the critical value of the electric fine structure constant in the two-loop approximation, calculated in the present paper, is equal to α crit ≈0.208 and coincides w

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28

NIELSEN, H. B. "COMPLEX ACTION SUPPORT FROM COINCIDENCES OF COUPLINGS." International Journal of Modern Physics E 20, no. 09 (2011): 2049–75. http://dx.doi.org/10.1142/s0218301311019726.

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Our model (Refs. 1–7) with a complex action in a functional integral formulation with path integrals extending over all times, both past and future, is reviewed. Several numerical relations between coupling constants are presented as supporting evidence. The new evidence is that several more hitherto unexplained coincidences are explained by our model: (1) The "scale problem" is solved because the Higgs field expectation value is predicted to be very small compared to say some fundamental scale, that might be the Planck scale. (2) The Higgs VEV need not be just zero, but rather is predicted to

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29

KUMAR, K. S., E. W. HUGHES, R. HOLMES, and P. A. SOUDER. "PRECISION LOW ENERGY WEAK NEUTRAL CURRENT EXPERIMENTS." Modern Physics Letters A 10, no. 39 (1995): 2979–92. http://dx.doi.org/10.1142/s0217732395003112.

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Precision measurements of weak neutral current amplitudes at [Formula: see text] are a sensitive probe of contact interactions arising from new high energy physics. Such measurements significantly enhance the analysis of precision data on the Z0 resonance, permitting tests of the running of the electroweak coupling constants. The behavior of the coupling constants as a function of Q2 can reveal the presence of many possible new physics scenarios, such as new gauge bosons, superparticles and substructure; some of these effects are difficult to observe on the Z0 pole. In order to probe energy sc

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30

Ganbold, Gurjav. "Strong Effective Coupling, Meson Ground States, and Glueball within Analytic Confinement." Particles 2, no. 2 (2019): 180–96. http://dx.doi.org/10.3390/particles2020013.

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The phenomena of strong running coupling and hadron mass generating have been studied in the framework of a QCD-inspired relativistic model of quark-gluon interaction with infrared-confined propagators. We derived a meson mass equation and revealed a specific new behavior of the mass-dependent strong coupling α ^ s ( M ) defined in the time-like region. A new infrared freezing point α ^ s ( 0 ) = 1.03198 at origin has been found and it did not depend on the confinement scale Λ > 0 . Independent and new estimates on the scalar glueball mass, ‘radius’ and gluon condensate value have been perf

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31

Kuroda, M., G. Moultaka, and D. Schildknecht. "Direct one-loop renormalization of SU(2)L × U(1)Y four-fermion processes and running coupling constants." Nuclear Physics B 350, no. 1-2 (1991): 25–72. http://dx.doi.org/10.1016/0550-3213(91)90252-s.

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32

Markkanen, Tommi. "Vacuum stability in the early universe and the backreaction of classical gravity." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2114 (2018): 20170115. http://dx.doi.org/10.1098/rsta.2017.0115.

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In the case of a metastable electroweak vacuum, the quantum corrected effective potential plays a crucial role in the potential instability of the standard model. In the early universe, in particular during inflation and reheating, this instability can be triggered leading to catastrophic vacuum decay. We discuss how the large space-time curvature of the early universe can be incorporated in the calculation and in many cases significantly modify the flat space prediction. The two key new elements are the unavoidable generation of the non-minimal coupling between the Higgs field and the scalar

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33

BENFATTO, G., and V. MASTROPIETRO. "RENORMALIZATION GROUP, HIDDEN SYMMETRIES AND APPROXIMATE WARD IDENTITIES IN THE XYZ MODEL." Reviews in Mathematical Physics 13, no. 11 (2001): 1323–435. http://dx.doi.org/10.1142/s0129055x01001058.

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Using renormalization group methods, we study the Heisenberg–Ising XYZ chain in an external magnetic field directed as the z axis, in the case of small coupling J3 in the z direction. In particular, we focus our attention on the asymptotic behaviour of the spin correlation function in the direction of the magnetic field and the singularities of its Fourier transform. An expansion for the ground state energy and the effective potential is derived, which is convergent if the running coupling constants are small enough. Moreover, by using hidden symmetries of the model, we show that this conditio

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34

DAS, C. R., and L. V. LAPERASHVILI. "MIRROR WORLD WITH BROKEN MIRROR PARITY, E6 UNIFICATION AND COSMOLOGY." International Journal of Modern Physics A 23, no. 12 (2008): 1863–90. http://dx.doi.org/10.1142/s0217751x08039712.

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In the present paper we develop a concept of parallel ordinary (O) and mirror (M) worlds. We have shown that in the case of a broken mirror parity (MP), the evolutions of fine structure constants in the O- and M-worlds are not identical. It is assumed that E6-unification inspired by superstring theory restores the broken MP at the scale ~ 1018 GeV , what unavoidably leads to the different E6-breakdowns at this scale: E6 → SO (10) × U (1)Z — in the O-world, and E′6 → SU (6)′ × SU (2)′Z — in the M-world. Considering only asymptotically free theories, we have presented the running of all the inve

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35

CAPRARA, S., and C. DI CASTRO. "SYMMETRY PROPERTIES, WARD IDENTITIES AND RENORMALIZATION GROUP FOR FERMI AND BOSE SYSTEMS." International Journal of Modern Physics A 16, no. 11 (2001): 2015–26. http://dx.doi.org/10.1142/s0217751x01004645.

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Within the framework of the perturbative renormalization-group approach, we discuss the case when perturbation theory is affected by infrared divergences well inside a stable phase of matter. Contrary to the case of critical phenomena, a cancellation of the singularities, rather than a resummation, has to take place, in order to obtain finite response functions, as implied by the stability conditions. We show how symmetries, and related Ward identities, can be implemented to relate the singular parts of the different running coupling constants, and reduce the number of independent parameters,

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36

Khazali, Mohammadsadegh. "Discrete-Time Quantum-Walk & Floquet Topological Insulators via Distance-Selective Rydberg-Interaction." Quantum 6 (March 3, 2022): 664. http://dx.doi.org/10.22331/q-2022-03-03-664.

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This article proposes the first discrete-time implementation of Rydberg quantum walk in multi-dimensional spatial space that could ideally simulate different classes of topological insulators. Using distance-selective exchange-interaction between Rydberg excited atoms in an atomic-array with dual lattice-constants, the new setup operates both coined and coin-less models of discrete-time quantum walk (DTQW). Here, complicated coupling tessellations are performed by global laser that exclusively excite the site at the anti-blockade region. The long-range interaction provides a new feature of des

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37

SIMJI, P., and VISHNU M. BANNUR. "PHENOMENOLOGICAL MODELS OF GLUON PLASMA IN THE LARGE TEMPERATURE RANGE." International Journal of Modern Physics A 28, no. 25 (2013): 1350121. http://dx.doi.org/10.1142/s0217751x13501212.

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Quasiparticle quark–gluon plasma (qQGP) model and strongly coupled quark–gluon plasma (SCQGP) are two different phenomenological models of quark–gluon plasma (QGP) that try to explain the nonideal behavior seen in lattice simulation of QCD and in relativistic heavy ion collisions. These models almost successfully explain the existing lattice data up to 5Tc. Here, we investigate how better these models fit the recent lattice data results of precision SU(3) thermodynamics for a large temperature range (up to 1000Tc) by studying the statistical mechanics and thermodynamics of gluon plasma and hen

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38

Kuznetsov, A. V., and A. A. Avramenko. "The method of separation of variables for solving equations describing molecular-motor-assisted transport of intracellular particles in a dendrite or axon." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 464, no. 2099 (2008): 2867–86. http://dx.doi.org/10.1098/rspa.2008.0127.

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This paper presents an analytical solution of one-dimensional transient molecular-motor-assisted transport equations that describe transport of different organelles (such as transport vesicles loaded with a cargo of specific proteins) in a neuron's axon or dendrite. Large intracellular organelles are transported in the cytoplasm by a combined action of diffusion and motor-driven transport. In an axon, organelles are transported away from the neuron's body towards the axon's terminal by kinesin-family molecular motors running on tracks composed of microtubules (MTs); old and used components are

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39

Antonov, Nikolay V., Nikolay M. Gulitskiy, Polina I. Kakin, Nikita M. Lebedev, and Maria M. Tumakova. "Field-Theoretic Renormalization Group in Models of Growth Processes, Surface Roughening and Non-Linear Diffusion in Random Environment: Mobilis in Mobili." Symmetry 15, no. 8 (2023): 1556. http://dx.doi.org/10.3390/sym15081556.

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This paper is concerned with intriguing possibilities for non-conventional critical behavior that arise when a nearly critical strongly non-equilibrium system is subjected to chaotic or turbulent motion of the environment. We briefly explain the connection between the critical behavior theory and the quantum field theory that allows the application of the powerful methods of the latter to the study of stochastic systems. Then, we use the results of our recent research to illustrate several interesting effects of turbulent environment on the non-equilibrium critical behavior. Specifically, we c

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40

Jeong, Eue-Jin. "QCD QED Potentials, Quark Confinement." International Journal of Fundamental Physical Sciences 12, no. 3 (2022): 29–34. http://dx.doi.org/10.14331/ijfps.2022.330153.

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One of the enduring puzzles in high energy particle physics is why quarks do not exist independently ‎despite their existence inside the hadron as quarks have never been found in isolation. This problem may ‎be solved by formulating a QCD potential for the entire range of interaction distances of the quarks. The ‎mystery could be related to the fundamental origin of the mass of elementary particles despite the success ‎of the quantum field theories to the highest level of accuracy. The renormalization program is an essential ‎part of the calculation of the scattering amplitudes, where the infi

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41

DAS, C. R., and L. V. LAPERASHVILI. "PHASE TRANSITION IN GAUGE THEORIES, MONOPOLES AND THE MULTIPLE POINT PRINCIPLE." International Journal of Modern Physics A 20, no. 26 (2005): 5911–88. http://dx.doi.org/10.1142/s0217751x05025279.

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This review is devoted to the Multiple Point Principle (MPP), according to which several vacuum states with the same energy density exist in Nature. The MPP is implemented to the Standard Model (SM), Family replicated gauge group model (FRGGM) and phase transitions in gauge theories with/without monopoles. Using renormalization group equations for the SM, the effective potential in the two-loop approximation is investigated, and the existence of its postulated second minimum at the fundamental scale is confirmed. Phase transitions in the lattice gauge theories are reviewed. The lattice results

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Chang, Yi-Fang. "Negative Matter as Unified Dark Matter and Dark ‎Energy: Simplest Model, Theory and Nine Tests." International Journal of Fundamental Physical Sciences 10, no. 4 (2020): 40–54. http://dx.doi.org/10.14331/ijfps.2020.330141.

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Based on Dirac’s negative energy, we propose and study the negative matter. Bondi’s results are wrong. First, the negative matter can be the simplest model of unified dark matter and dark energy. Next, we discuss various possible theories of the negative matter: some field equations, similar electrodynamics, field equations with non-symmetry, etc. Third, the quantum theory of negative matter is researched. Matter surrounded by dark-negative matter corresponds to an infinitely deep potential trap in quantum mechanics and forms a base of the universal wave-particle duality and quantum mechanics.

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HAN, Kyou-Hoon, Kyu-Hwan PARK, Hyun-Ju YOO та ін. "Determination of the three-dimensional structure of hordothionin-α by nuclear magnetic resonance". Biochemical Journal 313, № 3 (1996): 885–92. http://dx.doi.org/10.1042/bj3130885.

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The high-resolution three-dimensional solution structure of the plant toxin hordothionin-α obtained from Korean barley was determined by using two-dimensional NMR techniques combined with distance geometry and restrained molecular dynamics. Experimentally derived restraints including 292 interproton distances from nuclear Overhauser effect measurements, 16 hydrogen bond restraints together with four disulphide bridge restraints were used as input to calculations of distance geometry and restrained molecular dynamics. Also included in the calculations were 36 ϕ and 17 χ1 torsion angles obtained

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Solà, Joan. "Dark matter, dark energy and the time evolution of masses in the universe." International Journal of Modern Physics A 29, no. 21 (2014): 1444016. http://dx.doi.org/10.1142/s0217751x14440163.

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The traditional "explanation" for the observed acceleration of the universe is the existence of a positive cosmological constant. However, this can hardly be a truly convincing explanation, as an expanding universe is not expected to have a static vacuum energy density. So, it must be an approximation. This reminds us of the so-called fundamental "constants" of nature. Recent and past measurements of the fine structure constant and of the proton–electron mass ratio suggest that basic quantities of the standard model, such as the QCD scale parameter, Λ QCD , might not be conserved in the course

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VAN OERS, WILLEM T. H. "FROM HADRONIC PARITY VIOLATION TO PARITY-VIOLATING ELECTRON SCATTERING AND TESTS OF THE STANDARD MODEL." Modern Physics Letters A 23, no. 17n20 (2008): 1266–77. http://dx.doi.org/10.1142/s0217732308027643.

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Searches for parity violation in hadronic systems started soon after the evidence for parity violation in β-decay of 60 Co was presented by Madame Chien-Shiung Wu and in π and μ decay by Leon Lederman in 1957. The early searches for parity violation in hadronic systems did not reach the sensitivity required and only after technological advances in later years was parity violation unambiguously established. Within the meson-exchange description of the strong interaction, theory and experiment meet in a set of seven weak meson-nucleon coupling constants. Even today, after almost five decades, th

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Karandaev, Alexander, Andrey Radionov, Boris Loginov, Olga Gasiyarova, Ekaterina Gartlib, and Vadim Khramshin. "Experimental Parametrization of the Dual-Mass Electromechanical System of a Rolling Mill." Известия высших учебных заведений. Электромеханика 64, no. 3 (2021): 24–35. http://dx.doi.org/10.17213/0136-3360-2021-3-24-35.

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Transients in electromechanical systems need to be modeled adequately if the existing electric drive control algorithms are to be improved, or new ones are to be developed. This fully applies to the electric drives of roll-ing mill stands. When studying such drives, one often needs to find a tradeoff between the complexity of Park-Gorev equation-based mathematical description of processes in variable frequency drives, and the capabilities of simpler models that adequately describe the processes relevant for each specific case. The latter include the known dual-mass model of the electromechanic

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Guendelman, Eduardo, Emil Nissimov, and Svetlana Pacheva. "Vacuum structure and gravitational bags produced by metric-independent space–time volume-form dynamics." International Journal of Modern Physics A 30, no. 22 (2015): 1550133. http://dx.doi.org/10.1142/s0217751x1550133x.

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We propose a new class of gravity-matter theories, describing [Formula: see text] gravity interacting with a nonstandard nonlinear gauge field system and a scalar “dilaton,” formulated in terms of two different non-Riemannian volume-forms (generally covariant integration measure densities) on the underlying space–time manifold, which are independent of the Riemannian metric. The nonlinear gauge field system contains a square-root [Formula: see text] of the standard Maxwell Lagrangian which is known to describe charge confinement in flat space–time. The initial new gravity-matter model is invar

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Horne, James H., and Gregory Moore. "Chaotic coupling constants." Nuclear Physics B 432, no. 1-2 (1994): 109–26. http://dx.doi.org/10.1016/0550-3213(94)90595-9.

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Vozmediano, Maria A. H. "The running of the constants." Nature Physics 7, no. 9 (2011): 671–72. http://dx.doi.org/10.1038/nphys2066.

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Gibson, Vernon C., Roberto Gobetto, Robin K. Harris, Christina Langdale-Brown, and Ulrich Siemeling. "Niobium—phosphorus coupling constants." Journal of Organometallic Chemistry 479, no. 1-2 (1994): 207–11. http://dx.doi.org/10.1016/0022-328x(94)84110-1.

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