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1

TALEBAOUI, WATHEK. "THEORY OF SELF-INTERACTING SCALAR FIELDS AND GRAVITATION." Modern Physics Letters A 08, no. 22 (July 20, 1993): 2053–60. http://dx.doi.org/10.1142/s0217732393001768.

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The theory of self-interacting scalar fields and gravitation is discussed using Robertson-Walker metric in conformal time. The theory is formulated in terms of a metric compatible connection with torsion. Analytic solutions are derived and in some cases we make explicit contact with the conventional Brans-Dicke theory.
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2

Jäde, L., and H. V. von Geramb. "Nonlinear approach toNNinteractions using self-interacting meson fields." Physical Review C 55, no. 1 (January 1, 1997): 57–66. http://dx.doi.org/10.1103/physrevc.55.57.

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3

Mahmoodzadeh, A., and B. Malekolkalami. "Oscillatons described by self-interacting quartic scalar fields." Physics of the Dark Universe 19 (March 2018): 21–26. http://dx.doi.org/10.1016/j.dark.2017.11.001.

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4

Jetzer, Philippe. "Gravitational equilibria of self-interacting charged scalar fields." Nuclear Physics B - Proceedings Supplements 16 (August 1990): 653–55. http://dx.doi.org/10.1016/0920-5632(90)90628-8.

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5

Lee, Cheng-Yang. "Self-interacting mass-dimension one fields for any spin." International Journal of Modern Physics A 30, no. 11 (April 16, 2015): 1550048. http://dx.doi.org/10.1142/s0217751x15500487.

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According to Ahluwalia and Grumiller, massive spin-half fields of mass-dimension one can be constructed using the eigenspinors of the charge-conjugation operator (Elko) as expansion coefficients. In this paper, we generalize their result by constructing quantum fields from higher-spin Elko. The kinematics of these fields are thoroughly investigated. Starting with the field operators, their propagators and Hamiltonians are derived. These fields satisfy the higher-spin generalization of the Klein–Gordon but not the Dirac equation. Independent of the spin, they are all of mass-dimension one and are thus endowed with renormalizable self-interactions. These fields violate Lorentz symmetry. The violation can be characterized by a non-Lorentz-covariant term that appears in the Elko spin-sums. This term provides a decomposition of the generalized higher-spin Dirac operator in the momentum space thus suggesting a possible connection between the mass-dimension one fields and the Lorentz-invariant fields.
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6

Colpi, Monica, Stuart L. Shapiro, and Ira Wasserman. "Boson Stars: Gravitational Equilibria of Self-Interacting Scalar Fields." Physical Review Letters 57, no. 20 (November 17, 1986): 2485–88. http://dx.doi.org/10.1103/physrevlett.57.2485.

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7

Saha, Bijan. "Interacting self-consistent system of spinor and gravitational fields." International Journal of Modern Physics A 35, no. 02n03 (January 30, 2020): 2040047. http://dx.doi.org/10.1142/s0217751x20400473.

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Within the scope of simple cosmological models we have studied the role of spinor field in the evolution of the Universe when it is non-minimally coupled to the gravitational one. If the spinor field nonlinearity describes an ordinary matter such as radiation, the presence of non-minimality becomes essential and leads to the rapid expansion of the Universe in FRW model, but this is not the case for LRSBI model. If the spinor field nonlinearity describes a dark energy the role non-minimal coupling becomes insignificant in both isotropic and anisotropic models.
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8

Shiraishi, K., and S. Hirenzaki. "Quantum aspects of self-interacting fields around cosmic strings." Classical and Quantum Gravity 9, no. 10 (October 1, 1992): 2277–86. http://dx.doi.org/10.1088/0264-9381/9/10/011.

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9

Gunzig, Edgar, Pascal Nardone, and Norbert Van Den Bergh. "Self-interacting scalar fields on a conformally flat background." Physics Letters B 238, no. 2-4 (April 1990): 262–64. http://dx.doi.org/10.1016/0370-2693(90)91733-r.

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10

Barone, F. A., and M. Hott. "Self-energies for interacting fields with a compactified spatial dimension." Brazilian Journal of Physics 38, no. 2 (June 2008): 210–18. http://dx.doi.org/10.1590/s0103-97332008000200002.

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11

Alexander, Helder, Gustavo de Souza, Paul Mansfield, I. G. da Paz, and Marcos Sampaio. "Entanglement of self-interacting scalar fields in an expanding spacetime." EPL (Europhysics Letters) 115, no. 1 (July 1, 2016): 10006. http://dx.doi.org/10.1209/0295-5075/115/10006.

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12

Fan, Hong-Yi, and Zeng-Bing Chen. "Einstein-Podolsky-Rosen entanglement for self-interacting complex scalar fields." Journal of Physics A: Mathematical and General 34, no. 9 (February 26, 2001): 1853–59. http://dx.doi.org/10.1088/0305-4470/34/9/304.

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13

Chandra, S., J. Sarkar, C. Das, and B. Ghosh. "Self-interacting Stationary Formations in Plasmas under Externally Controlled Fields." Plasma Physics Reports 47, no. 3 (March 2021): 306–17. http://dx.doi.org/10.1134/s1063780x21030041.

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14

PAUL, SAMIR K., R. SHANKAR, and M. SIVAKUMAR. "FERMIONIZATION OF SELF-INTERACTING CHARGED SCALAR FIELDS COUPLED TO ABELIAN CHERN-SIMONS GAUGE FIELDS IN 2+1 DIMENSIONS." Modern Physics Letters A 06, no. 07 (March 7, 1991): 553–58. http://dx.doi.org/10.1142/s0217732391000579.

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We show, to all orders in perturbation theory, that the theory of charged scalars in 2+1 dimensions with a |ϕ|4 self-interaction coupled to Chern-Simons gauge fields is equivalent to a theory of self-interacting fermions with a [Formula: see text] interaction.
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15

Kaminer, Ido, Mordechai Segev, Alfred M. Bruckstein, and Yonina C. Eldar. "Solitonets: complex networks of interacting fields." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2104 (December 17, 2008): 1093–101. http://dx.doi.org/10.1098/rspa.2008.0401.

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We propose complex networks made with interacting fields, where the interaction dynamics at each individual node in the system has infinite degrees of freedom. We construct networks, based on the interactions between vector solitons, whose dynamics are governed by conservation laws. Hence, the dimensionality of the dynamics at each node is determined by the initial conditions, making the problem tractable. We present examples of small and large soliton-based networks, and demonstrate memory effects within them that are enormously enhanced by noise. Finally, we demonstrate that such networks, with infinite-dimensional dynamics, can exhibit spontaneous self-synchronization effects.
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16

Doria, Renato, J. Helayel, M. Chaichian, E. Spallucci, M. Botta Cantcheff, and A. Shabad. "A New Model for a Non-Linear Electromagnetic Model with Self-Interacting Photons." JOURNAL OF ADVANCES IN PHYSICS 7, no. 3 (February 23, 2015): 1840–96. http://dx.doi.org/10.24297/jap.v7i3.1579.

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A new electromagnetism is still expected to be developed. Thus, under such a principlewhere nature works as a group, an electromagnetism beyond Maxwell is studied. It considersthat light metric antecedes electric charge for founding the EM phenomena. Based on wholenessprinciple, Lorentz group and gauge invariance this electromagnetism sticked on light is proposed.Then, by electromagnetism it will be understood the physics derived from Lorentz group potentialfields family (for simplicity other fields are not included). New electromagnetic fields,sectors, layers and regimes are developed. It yields a branch with transversal and longitudinalEM fields, granular and collective sectors, I-fields layers and four regimes (photonic, massive,neutral, charged) connected through a global photon. Their relationships are determined by astate equation identified as Global Maxwell equation. It contains new Gauss and Ampere laws,exclusive Faraday law for polarization and magnetization vectors, divergenceless magnetizationvector having fields as sources, self-interacting photons mediated by a dimensionless couplingconstant and other features. It is complemented by a Global Lorentz equation which besidesthe usual Lorentz force add forces depending on mass and on potential fields.
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17

Cognola, Guido, Klaus Kirsten, and Luciano Vanzo. "Free and self-interacting scalar fields in the presence of conical singularities." Physical Review D 49, no. 2 (January 15, 1994): 1029–38. http://dx.doi.org/10.1103/physrevd.49.1029.

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18

BYTSENKO, ANDREI, KLAUS KIRSTEN, and SERGEI ODINTSOV. "SELF-INTERACTING SCALAR FIELDS ON SPACE-TIME WITH COMPACT HYPERBOLIC SPATIAL PART." Modern Physics Letters A 08, no. 21 (July 10, 1993): 2011–21. http://dx.doi.org/10.1142/s0217732393001720.

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We calculate the one-loop effective potential of a self-interacting scalar field on the space-time of the form ℝ2×H2/Γ. The Selberg trace formula associated with a co-compact discrete group Γ in PSL(2, ℝ) (hyperbolic and elliptic elements only) is used. The closed form for the one-loop unrenormalized and renormalized effective potentials is given. The influence of non-trivial topology on curvature induced phase transitions is also discussed.
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19

ALVES, M. S., and J. BARCELOS-NETO. "PATH INTEGRALS AND THE TRACE ANOMALY IN A SELF-INTERACTING SCALAR THEORY." Modern Physics Letters A 04, no. 02 (January 1989): 155–59. http://dx.doi.org/10.1142/s0217732389000216.

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20

LATINKSY, S., and D. SOROKIN. "ANOMALOUS MAGNETIC MOMENTUM IN 3D SPACE-TIME AND SELF-INTERACTING ANYONS." Modern Physics Letters A 06, no. 38 (December 14, 1991): 3525–30. http://dx.doi.org/10.1142/s0217732391004073.

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The statistical properties of matter fields with anomalous magnetic momentum interacting with the Chern-Simons-Maxwell (CSM) field are considered. It is shown that in the theory with pure Chern-Simons (CS) action the Semenoff gauge results in anyons with self-interaction. Even in the presence of the Maxwell term there is a particular solution for which the anyonic system with (current) x (current) self-interaction arises.
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21

Romans, L. J. "Self-duality for interacting fields: Covariant field equations for six-dimensional chiral supergravities." Nuclear Physics B 276, no. 1 (October 1986): 71–92. http://dx.doi.org/10.1016/0550-3213(86)90016-7.

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22

Al'varado, R., Yu P. Rybakov, B. Sakha, and G. N. Shikin. "Interacting spinor and scalar fields: Exact self-consistent solutions in Bianci I space." Russian Physics Journal 38, no. 7 (July 1995): 700–705. http://dx.doi.org/10.1007/bf00560272.

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23

Herdeiro, Carlos A. R., and Eugen Radu. "Asymptotically Flat, Spherical, Self-Interacting Scalar, Dirac and Proca Stars." Symmetry 12, no. 12 (December 8, 2020): 2032. http://dx.doi.org/10.3390/sym12122032.

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We present a comparative analysis of the self-gravitating solitons that arise in the Einstein–Klein–Gordon, Einstein–Dirac, and Einstein–Proca models, for the particular case of static, spherically symmetric spacetimes. Differently from the previous study by Herdeiro, Pombo and Radu in 2017, the matter fields possess suitable self-interacting terms in the Lagrangians, which allow for the existence of Q-ball-type solutions for these models in the flat spacetime limit. In spite of this important difference, our analysis shows that the high degree of universality that was observed by Herdeiro, Pombo and Radu remains, and various spin-independent common patterns are observed.
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24

Azam, Mofazzal. "An Exact Equation for Wilson Loops in Two-Dimensional Euclidean Space." Modern Physics Letters A 18, no. 27 (September 7, 2003): 1925–29. http://dx.doi.org/10.1142/s021773230301168x.

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25

HAFIZI, M. "PRECARIOUS STARS — A VARIETY OF BOSON STARS." International Journal of Modern Physics D 07, no. 06 (December 1998): 975–87. http://dx.doi.org/10.1142/s0218271898000656.

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In this paper we study boson stars made up of real scalar λϕ4 self-interacting fields at finite temperature. For the reason of their equation of state, we call these configurations "precarious stars." The equation of state for these stars follows from the Gaussian approximation applied to real scalar λϕ4 self-interacting fields. We numerically calculate these configurations in the frame of general relativity. We obtain masses, radii, surface temperatures and other characteristics. After a numerical analysis of the thermal radiation emitted from their surface, we conclude that these stars radiate rapidly all their energy and mass. Nevertheless, we raise the question of the role these configurations may have played in formation of the large scale structures of the Universe.
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26

Hörmann, Günther, and Michael Kunzinger. "Regularized Derivatives in a 2-Dimensional Model of Self-Interacting Fields with Singular Data." Zeitschrift für Analysis und ihre Anwendungen 19, no. 1 (2000): 147–58. http://dx.doi.org/10.4171/zaa/944.

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27

NOVELLO, M., and R. C. ARCURI. "DYNAMICAL BOSON FIELD IN THE NONLINEAR SPINOR THEORY." International Journal of Modern Physics A 15, no. 15 (June 20, 2000): 2255–68. http://dx.doi.org/10.1142/s0217751x00000938.

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We show that a class of boson fields can be described by a composite structure consisting of self-interacting spinors. We present a model for such bosonization and some perspectives concerning the consequences of such property.
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28

TOFIGHI, A., and M. MOAZZEN. "STABILIZATION OF MODULUS IN RANDALL–SUNDRUM MODEL I BY BULK SCALAR FIELDS." Modern Physics Letters A 28, no. 11 (April 10, 2013): 1350044. http://dx.doi.org/10.1142/s0217732313500442.

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We consider the case of self-interacting scalar field for the stabilization of modulus in the Randall–Sundrum model I. This scalar field is non-minimally coupled to the Ricci curvature scalar. We find the compactification radius and we discuss the implications of our results for the cases of massive and massless scalars.
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29

SHANKAR, R., and M. SIVAKUMAR. "BOSE-FERMI TRANSMUTATION 2+1 DIMENSIONS: EFFECT OF SELF-INTERACTIONS AND THE MAXWELL TERM." Modern Physics Letters A 06, no. 26 (August 30, 1991): 2379–87. http://dx.doi.org/10.1142/s0217732391002803.

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We show the partition function of self-interacting charged scalar fields coupled with Abelian gauge fields governed by Maxwell-Chern-Simons action is equivalent in the long-wavelength approximation to that of a massive four-Fermi theory. The coupling constants and mass of the fermionic theory is explicitly related to those of the bosonic theory. The gauge invariant charged scalar current is shown to be transmuted to fermion current. The physical mass of the fermion is computed at the mean field level and shown to be finite at large self-coupling.
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30

AKHMEDOV, E. T. "LECTURE NOTES ON INTERACTING QUANTUM FIELDS IN DE SITTER SPACE." International Journal of Modern Physics D 23, no. 01 (January 2014): 1430001. http://dx.doi.org/10.1142/s0218271814300018.

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We discuss peculiarities of quantum fields in de Sitter (dS) space on the example of the self-interacting massive real scalar, minimally coupled to the gravity background. Nonconformal quantum field theories (QFTs) in dS space show very special infrared behavior, which is not shared by quantum fields neither in flat nor in anti-dS space: in dS space loops are not suppressed in comparison with tree level contributions because there are strong infrared corrections. That is true even for massive fields. Our main concern is the interrelation between these infrared effects, the invariance of the QFT under the dS isometry and the (in)stability of dS invariant states (and of dS space itself) under nonsymmetric perturbations.
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31

SCHWINDT, JAN-MARKUS, and CHRISTOF WETTERICH. "CHIRAL TENSOR FIELDS AND SPONTANEOUS BREAKING OF LORENTZ SYMMETRY." International Journal of Modern Physics A 23, no. 26 (October 20, 2008): 4345–59. http://dx.doi.org/10.1142/s0217751x08041347.

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Antisymmetric tensor fields interacting with quarks and leptons have been proposed as a possible solution to the gauge hierarchy problem. We compute the one-loop beta function for a quartic self-interaction of the chiral antisymmetric tensor fields. Fluctuations of the top quark drive the corresponding running coupling to a negative value as the renormalization scale is lowered. This may indicate a nonvanishing expectation value of the tensor field, and thus a spontaneous breaking of Lorentz invariance. Settling this issue will need the inclusion of tensor loops.
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32

Devchand, C. "Interacting fields of arbitrary spin and N ?gr 4 supersymmetric self-dual Yang-Mills equations." Nuclear Physics B 481, no. 1-2 (December 9, 1996): 188–214. http://dx.doi.org/10.1016/s0550-3213(96)00508-1.

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33

Devchand, Ch, and V. Ogievetsky. "Interacting fields of arbitrary spin and N > 4 supersymmetric self-dual Yang-Mills equations." Nuclear Physics B 481, no. 1-2 (December 1996): 188–214. http://dx.doi.org/10.1016/s0550-3213(96)90129-7.

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34

Patkós, A., and Zs Szép. "Classical kinetic theory of Landau damping for self-interacting scalar fields in the broken phase." Physics Letters B 446, no. 3-4 (January 1999): 272–77. http://dx.doi.org/10.1016/s0370-2693(98)01571-8.

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35

Giambò, Roberto, Fabio Giannoni, and Giulio Magli. "Genericity of black hole formation in the gravitational collapse of homogeneous self-interacting scalar fields." Journal of Mathematical Physics 49, no. 4 (April 2008): 042504. http://dx.doi.org/10.1063/1.2907949.

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36

Vellozo, S. O., J. A. Helayël Neto, A. W. Smith, and L. P. G. De Assis. "Self-Interacting Electromagnetic Fields and a Classical Discussion on the Stability of the Electric Charge." International Journal of Theoretical Physics 48, no. 7 (March 4, 2009): 1905–11. http://dx.doi.org/10.1007/s10773-009-9962-8.

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37

Guendelman, E. I., and A. I. Rabinowitz. "Linearity, non self-interacting spherically symmetric gravitational fields, the “sphereland equivalence principle” and Hamiltonian bubbles." General Relativity and Gravitation 28, no. 2 (February 1996): 117–28. http://dx.doi.org/10.1007/bf02105418.

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38

DJUKANOVIC, D., J. GEGELIA, and S. SCHERER. "PATH INTEGRAL QUANTIZATION FOR MASSIVE VECTOR BOSONS." International Journal of Modern Physics A 25, no. 18n19 (July 30, 2010): 3603–19. http://dx.doi.org/10.1142/s0217751x10049736.

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A parity-conserving and Lorentz-invariant effective field theory of self-interacting massive vector fields is considered. For the interaction terms with dimensionless coupling constants the canonical quantization is performed. It is shown that the self-consistency condition of this system with the second-class constraints in combination with the perturbative renormalizability leads to an SU(2) Yang–Mills theory with an additional mass term.
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39

Borzi, R. A., S. A. Grigera, J. Farrell, R. S. Perry, S. J. S. Lister, S. L. Lee, D. A. Tennant, Y. Maeno, and A. P. Mackenzie. "Formation of a Nematic Fluid at High Fields in Sr3Ru2O7." Science 315, no. 5809 (November 23, 2006): 214–17. http://dx.doi.org/10.1126/science.1134796.

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In principle, a complex assembly of strongly interacting electrons can self-organize into a wide variety of collective states, but relatively few such states have been identified in practice. We report that, in the close vicinity of a metamagnetic quantum critical point, high-purity strontium ruthenate Sr3Ru2O7 possesses a large magnetoresistive anisotropy, consistent with the existence of an electronic nematic fluid. We discuss a striking phenomenological similarity between our observations and those made in high-purity two-dimensional electron fluids in gallium arsenide devices.
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40

MATTIS, DANIEL C. "AN EXPANDED LUTTINGER MODEL." International Journal of Modern Physics B 26, no. 22 (July 26, 2012): 1244007. http://dx.doi.org/10.1142/s0217979212440079.

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This paper generalizes Luttinger's model by introducing curvature (d2ε(k)/dk2≠0) into the kinetic energy. An exact solution for arbitrary interactions is still possible in principle, but it now requires disentangling the eigenvalue spectrum of an harmonic string of interacting boson fields at each value of q. The additional boson fields, extracted from the excitation spectrum of the Fermi sea, are self-selected according to the nature and strength of the dispersion.
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41

Kuzemsky, A. L. "Variational principle of Bogoliubov and generalized mean fields in many-particle interacting systems." International Journal of Modern Physics B 29, no. 18 (July 13, 2015): 1530010. http://dx.doi.org/10.1142/s0217979215300108.

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The approach to the theory of many-particle interacting systems from a unified standpoint, based on the variational principle for free energy is reviewed. A systematic discussion is given of the approximate free energies of complex statistical systems. The analysis is centered around the variational principle of Bogoliubov for free energy in the context of its applications to various problems of statistical mechanics. The review presents a terse discussion of selected works carried out over the past few decades on the theory of many-particle interacting systems in terms of the variational inequalities. It is the purpose of this paper to discuss some of the general principles which form the mathematical background to this approach and to establish a connection of the variational technique with other methods, such as the method of the mean (or self-consistent) field in the many-body problem. The method is illustrated by applying it to various systems of many-particle interacting systems, such as Ising, Heisenberg and Hubbard models, superconducting (SC) and superfluid systems, etc. This work proposes a new, general and pedagogical presentation, intended both for those who are interested in basic aspects and for those who are interested in concrete applications.
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42

Gurtug, O., M. Halilsoy, and S. Habib Mazharimousavi. "Quantum Probes of Timelike Naked Singularities in2+1-Dimensional Power-Law Spacetimes." Advances in High Energy Physics 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/684731.

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The formation of naked singularities in2+1-dimensional power-law spacetimes in linear Einstein-Maxwell and Einstein-scalar theories sourced by azimuthally symmetric electric field and a self-interacting real scalar field, respectively, are considered in view of quantum mechanics. Quantum test fields obeying the Klein-Gordon and Dirac equations are used to probe the classical timelike naked singularities developed atr=0. We show that when the classically singular spacetimes probed with scalar waves, the considered spacetimes remain singular. However, the spinorial wave probe of the singularity in the metric of a self-interacting real scalar field remains quantum regular. The notable outcome in this study is that the quantum regularity/singularity cannot be associated with the energy conditions.
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43

IVANOV, ANDREI N. "CHIRAL SYMMETRY BREAKING AND FORMULAS OF QUARK CONVERSION FOR LOW-ENERGY HADRONIC MATRIX ELEMENTS." International Journal of Modern Physics A 08, no. 05 (February 20, 1993): 853–72. http://dx.doi.org/10.1142/s0217751x93000321.

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By using the extended Nambu-Jona-Lasinio model for the low-energy approximation of QCD we derive the formulas, being due to spontaneous breaking of chiral symmetry and bosonization, and allowing to express matrix elements of any operator with current-quark fields in the definition in terms of matrix elements of this operator determined via constituent-quark fields interacting with low-lying meson states appearing as [Formula: see text]-collective excitations, which have the self-interactions too.
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44

Neef, Andreas, and Andrés Y. Agudelo Toro. "3D-Simulation of Electrical Activity at Cell Membranes, Interacting with Self-Generated and External Electric Fields." Biophysical Journal 104, no. 2 (January 2013): 164a. http://dx.doi.org/10.1016/j.bpj.2012.11.923.

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45

Shah, Parth, Gauranga C. samanta, and Salvatore Capozziello. "Qualitative behavior of cosmological models combining various matter fields." International Journal of Modern Physics A 33, no. 18n19 (July 9, 2018): 1850116. http://dx.doi.org/10.1142/s0217751x18501166.

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The late time accelerated expansion of the universe can be realized using scalar fields with the given self-interacting potentials. Here, we consider a straightforward approach where a three cosmic fluid mixture is assumed. The fluids are standard matter perfect fluid, dark matter, and a scalar field with the role of dark energy. A dynamical system analysis is developed in this context. A central role is played by the equation of state [Formula: see text] which determines the acceleration phase of the models. Determining the domination of a particular fluid at certain stages of the universe history by stability analysis allows, in principle, to establish the succession of the various cosmological eras.
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46

Myrzakulov, Ratbay, Diego Sáez-Gómez, and Petr Tsyba. "Cosmological solutions in F(T) gravity with the presence of spinor fields." International Journal of Geometric Methods in Modern Physics 12, no. 02 (January 29, 2015): 1550023. http://dx.doi.org/10.1142/s0219887815500231.

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The presence of spinor fields is considered in the framework of some extensions of teleparallel gravity, where the Weitzenböck connection is assumed. Some well-known models as the Chaplygin gas and its generalizations are reconstructed in terms of a spinor field in the framework of teleparallel gravity. In addition, the ΛCDM model is also realized with the presence of a spinor field where a simple self-interacting term is considered and the corresponding action is reconstructed. Other cosmological solutions and the reconstruction of the gravitational action in terms of the scalar torsion are studied.
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47

da Rocha, Roldão. "MGD Dirac Stars." Symmetry 12, no. 4 (April 1, 2020): 508. http://dx.doi.org/10.3390/sym12040508.

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The method of geometric deformation (MGD) is here employed to study compact stellar configurations, which are solutions of the effective Einstein–Dirac coupled field equations on fluid branes. Non-linear, self-interacting, fermionic fields are then employed to derive MGD Dirac stars, whose properties are analyzed and discussed. The MGD Dirac star maximal mass is shown to increase as a specific function of the spinor self-interaction coupling constant, in a realistic model involving the most strict phenomenological current bounds for the brane tension.
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48

Ksenzov, V. G., and A. I. Romanov. "Phase transitions in models with discrete symmetry." Modern Physics Letters A 29, no. 38 (December 9, 2014): 1450200. http://dx.doi.org/10.1142/s0217732314502009.

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We investigate a class of models with a massless fermion and a self-interacting scalar field with the Yukawa interaction between these two fields. The models considered are formulated in two and four spacetime dimensions and possess a discrete symmetry. We calculate the chiral condensates which are calculated in the one-loop approximation. We show that the models have phase transitions as a function of the coupling constants.
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49

Sathiapalan, B. "Exact renormalization group and loop variables: A background independent approach to string theory." International Journal of Modern Physics A 30, no. 32 (November 17, 2015): 1530055. http://dx.doi.org/10.1142/s0217751x15300550.

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This paper is a self-contained review of the loop variable approach to string theory. The Exact Renormalization Group is applied to a world sheet theory describing string propagation in a general background involving both massless and massive modes. This gives interacting equations of motion for the modes of the string. Loop variable techniques are used to obtain gauge invariant equations. Since this method is not tied to flat space–time or any particular background metric, it is manifestly background independent. The technique can be applied to both open and closed strings. Thus gauge invariant and generally covariant interacting equations of motion can be written for massive higher spin fields in arbitrary backgrounds. Some explicit examples are given.
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50

Klauder, John R. "New Affine Coherent States Based on Elements of Nonrenormalizable Scalar Field Models." Advances in Mathematical Physics 2010 (2010): 1–16. http://dx.doi.org/10.1155/2010/191529.

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Recent proposals for a nontrivial quantization of covariant, nonrenormalizable, self-interacting, scalar quantum fields have emphasized the importance of quantum fields that obey affine commutation relations rather than canonical commutation relations. When formulated on a spacetime lattice, such models have a lattice version of the associated ground state, and this vector is used as the fiducial vector for the definition of the associated affine coherent states, thus ensuring that in the continuum limit, the affine field operators are compatible with the system Hamiltonian. In this article, we define and analyze the associated affine coherent states as well as briefly review the author's approach to nontrivial formulations of such nonrenormalizable models.
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