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Journal articles on the topic 'Casimir interactions'

Author: Grafiati

Published: 4 June 2021

Last updated: 14 February 2022

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1

Podgornik, R., and J. Dobnikar. "Casimir and pseudo-Casimir interactions in confined polyelectrolytes." Journal of Chemical Physics 115, no. 4 (July 22, 2001): 1951–59. http://dx.doi.org/10.1063/1.1383052.

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2

Milton, Kimball A., Yang Li, Pushpa Kalauni, Prachi Parashar, Romain Guérout, Gert-Ludwig Ingold, Astrid Lambrecht, and Serge Reynaud. "Negative entropies in Casimir and Casimir-Polder interactions." Fortschritte der Physik 65, no. 6-8 (December 5, 2016): 1600047. http://dx.doi.org/10.1002/prop.201600047.

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3

Spruch, L. "Long-Range (Casimir) Interactions." Science 272, no. 5267 (June 7, 1996): 1452–55. http://dx.doi.org/10.1126/science.272.5267.1452.

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4

MOSTEPANENKO, V. M., V. B. BEZERRA, G. L. KLIMCHITSKAYA, and C. ROMERO. "NEW CONSTRAINTS ON YUKAWA-TYPE INTERACTIONS FROM THE CASIMIR EFFECT." International Journal of Modern Physics A 27, no. 15 (June 14, 2012): 1260015. http://dx.doi.org/10.1142/s0217751x12600159.

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Measurements of the Casimir force are used to obtain stronger constraints on the parameters of hypothetical interactions predicted in different unification schemes beyond the Standard Model. We review new strong constraints on the Yukawa-type interactions derived during the last two years from recent experiments on measuring the lateral Casimir force, Casimir force in configurations with corrugated boundaries and the Casimir–Polder force. Specifically, from measurements of the lateral Casimir force compared with the exact theory the strengthening of constraints up to a factor of 24 millions was achieved. We also discuss further possibilities to strengthen constraints on the Yukawa interactions from the Casimir effect.

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5

MOSTEPANENKO, V. M., V. B. BEZERRA, G. L. KLIMCHITSKAYA, and C. ROMERO. "NEW CONSTRAINTS ON YUKAWA-TYPE INTERACTIONS FROM THE CASIMIR EFFECT." International Journal of Modern Physics: Conference Series 14 (January 2012): 200–214. http://dx.doi.org/10.1142/s2010194512007337.

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Measurements of the Casimir force are used to obtain stronger constraints on the parameters of hypothetical interactions predicted in different unification schemes beyond the Standard Model. We review new strong constraints on the Yukawa-type interactions derived during the last two years from recent experiments on measuring the lateral Casimir force, Casimir force in configurations with corrugated boundaries and the Casimir-Polder force. Specifically, from measurements of the lateral Casimir force compared with the exact theory the strengthening of constraints up to a factor of 24 millions was achieved. We also discuss further possibilities to strengthen constraints on the Yukawa interactions from the Casimir effect.

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6

Milonni, Peter W., Larry Spruch, and Daniel Kleppner. "Vacuums, Retardation and Casimir Interactions." Physics Today 44, no. 6 (June 1991): 13–15. http://dx.doi.org/10.1063/1.2810131.

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7

Sernelius, B. E. "Casimir interactions in graphene systems." EPL (Europhysics Letters) 95, no. 5 (August 12, 2011): 57003. http://dx.doi.org/10.1209/0295-5075/95/57003.

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8

Panella, Orlando, and Allan Widom. "Casimir effects in gravitational interactions." Physical Review D 49, no. 2 (January 15, 1994): 917–22. http://dx.doi.org/10.1103/physrevd.49.917.

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9

KLIMCHITSKAYA, G. L., and U. MOHIDEEN. "CONSTRAINTS ON YUKAWA-TYPE HYPOTHETICAL INTERACTIONS FROM RECENT CASIMIR FORCE MEASUREMENTS." International Journal of Modern Physics A 17, no. 29 (November 20, 2002): 4143–52. http://dx.doi.org/10.1142/s0217751x02013162.

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Constraints on the Yukawa-type long-range interactions following from the Casimir effect are considered. The constraints obtained from the recent Casimir force measurements by means of a torsion pendulum and an atomic force microscope are collected and compared. New constraints are obtained from the measurement of the lateral Casimir force. The conclusion is made that the Casimir effect has an advantage over the conventional methods in obtaining stronger constraints on hypothetical interactions.

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10

TEO, L. P. "FINITE TEMPERATURE FERMIONIC CASIMIR INTERACTION IN ANTI-DE SITTER SPACE–TIME." International Journal of Modern Physics A 28, no. 31 (December 19, 2013): 1350158. http://dx.doi.org/10.1142/s0217751x13501583.

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We study the finite temperature Casimir interactions on two parallel boundaries in the anti-de Sitter space–time AdS D+1 induced by the vacuum fluctuations of a massive fermionic field with MIT bag boundary conditions. Due to the nontrivial curvature, the magnitudes of the Casimir pressures on the two boundaries are different, where the pressure on the right is larger than the pressure on the left. Nevertheless, it is shown that the Casimir interaction always tends to attract the two boundaries to each other at any temperature and for any mass. The ratio of the magnitude of the pressure on the right to the magnitude of the pressure on the left decreases as the temperature increases or when the mass increases. For bosonic fields, it is well known that the high temperature leading term of the Casimir interaction is linear in temperature. However, for fermionic fields, the Casimir interaction decays exponentially at high temperature due to the absence of zero Matsubara frequency.

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11

Woods, Lilia M., Matthias Krüger, and Victor V. Dodonov. "Perspective on Some Recent and Future Developments in Casimir Interactions." Applied Sciences 11, no. 1 (December 30, 2020): 293. http://dx.doi.org/10.3390/app11010293.

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Here, we present a critical review of recent developments in Casimir physics motivated by discoveries of novel materials. Specifically, topologically nontrivial properties of the graphene family, Chern and topological insulators, and Weyl semimetals have diverse manifestations in the distance dependence, presence of fundamental constants, magnitude, and sign of the Casimir interaction. Limited studies of the role of nonlinear optical properties in the interaction are also reviewed. We show that, since many new materials have greatly enhanced the nonlinear optical response, new efficient pathways for investigation of the characteristic regimes of the Casimir force need to be explored, which are expected to lead to new discoveries. Recent progress in the dynamical Casimir effect is also reviewed and we argue that nonlinear media can open up new directions in this field as well.

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12

Fosco, C. D., and E. Losada. "Casimir effect with nonlocal boundary interactions." Physics Letters B 675, no. 2 (May 2009): 252–56. http://dx.doi.org/10.1016/j.physletb.2009.03.084.

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13

Phan, Anh D., and The-Long Phan. "Casimir interactions in strained graphene systems." physica status solidi (RRL) - Rapid Research Letters 8, no. 12 (October 21, 2014): 1003–6. http://dx.doi.org/10.1002/pssr.201409421.

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14

Labbé-Laurent, M., and S. Dietrich. "Critical Casimir interactions between Janus particles." Soft Matter 12, no. 31 (2016): 6621–48. http://dx.doi.org/10.1039/c6sm00990e.

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15

Milton, Kimball A., Romain Guérout, Gert-Ludwig Ingold, Astrid Lambrecht, and Serge Reynaud. "Negative Casimir entropies in nanoparticle interactions." Journal of Physics: Condensed Matter 27, no. 21 (May 12, 2015): 214003. http://dx.doi.org/10.1088/0953-8984/27/21/214003.

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16

Zheng, Yi. "A Generalization of Electromagnetic Fluctuation-Induced Casimir Energy." Advances in Condensed Matter Physics 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/198657.

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Intermolecular forces responsible for adhesion and cohesion can be classified according to their origins; interactions between charges, ions, random dipole—random dipole (Keesom), random dipole—induced dipole (Debye) are due to electrostatic effects; covalent bonding, London dispersion forces between fluctuating dipoles, and Lewis acid-base interactions are due to quantum mechanical effects; pressure and osmotic forces are of entropic origin. Of all these interactions, the London dispersion interaction is universal and exists between all types of atoms as well as macroscopic objects. The dispersion force between macroscopic objects is called Casimir/van der Waals force. It results from alteration of the quantum and thermal fluctuations of the electrodynamic field due to the presence of interfaces and plays a significant role in the interaction between macroscopic objects at micrometer and nanometer length scales. This paper discusses how fluctuational electrodynamics can be used to determine the Casimir energy/pressure between planar multilayer objects. Though it is confirmation of the famous work of Dzyaloshinskii, Lifshitz, and Pitaevskii (DLP), we have solved the problem without having to use methods from quantum field theory that DLP resorted to. Because of this new approach, we have been able to clarify the contributions of propagating and evanescent waves to Casimir energy/pressure in dissipative media.

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17

Khusnutdinov, Nail, Rashid Kashapov, and Lilia M. Woods. "Thermal Casimir and Casimir–Polder interactions in N parallel 2D Dirac materials." 2D Materials 5, no. 3 (June 8, 2018): 035032. http://dx.doi.org/10.1088/2053-1583/aac612.

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18

Zhang, Pengfei, and Qiang Wang. "Interactions between Colloidal Particles Mediated by Nonadsorbing Polymers: Casimir and Anti-Casimir Effects." Macromolecules 53, no. 20 (October 15, 2020): 8883–88. http://dx.doi.org/10.1021/acs.macromol.0c01164.

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19

Stuij, S. G., M. Labbé-Laurent, T. E. Kodger, A. Maciołek, and P. Schall. "Critical Casimir interactions between colloids around the critical point of binary solvents." Soft Matter 13, no. 31 (2017): 5233–49. http://dx.doi.org/10.1039/c7sm00599g.

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We investigate interactions of colloidal particles in near-critical binary mixtures through a combination of experiments and theoretical methods, and show that the critical Casimir theory gives quantitatively correct predictions for the interaction potential if weak preferential adsorption of the particle surface is taken into account.

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20

Helden, Laurent, Timo Knippenberg, Li Tian, Aubin Archambault, Felix Ginot, and Clemens Bechinger. "Critical Casimir interactions of colloids in micellar critical solutions." Soft Matter 17, no. 10 (2021): 2737–41. http://dx.doi.org/10.1039/d0sm02021d.

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21

KLIMCHITSKAYA, G. L., R. S. DECCA, E. FISCHBACH, D. E. KRAUSE, D. LÓPEZ, and V. M. MOSTEPANENKO. "CASIMIR EFFECT AS A TEST FOR THERMAL CORRECTIONS AND HYPOTHETICAL LONG-RANGE INTERACTIONS." International Journal of Modern Physics A 20, no. 11 (April 30, 2005): 2205–21. http://dx.doi.org/10.1142/s0217751x05024419.

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We have performed a precise experimental determination of the Casimir pressure between two gold-coated parallel plates by means of a micromachined oscillator. In contrast to all previous experiments on the Casimir effect, where a small relative error (varying from 1% to 15%) was achieved only at the shortest separation, our smallest experimental error (~ 0.5%) is achieved over a wide separation range from 170 nm to 300 nm at 95% confidence. We have formulated a rigorous metrological procedure for the comparison of experiment and theory without resorting to the previously used root-mean-square deviation, which has been criticized in the literature. This enables us to discriminate among different competing theories of the thermal Casimir force, and to resolve a thermodynamic puzzle arising from the application of Lifshitz theory to real metals. Our results lead to a more rigorous approach for obtaining constraints on hypothetical long-range interactions predicted by extra-dimensional physics and other extensions of the Standard Model. In particular, the constraints on non-Newtonian gravity are strengthened by up to a factor of 20 in a wide interaction range at 95% confidence.

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22

Teo, L. P. "Massive scalar Casimir interaction beyond proximity force approximation." International Journal of Modern Physics A 30, no. 27 (September 30, 2015): 1550167. http://dx.doi.org/10.1142/s0217751x15501675.

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Since massive scalar field plays an important role in theoretical physics, we consider the interaction between a sphere and a plate due to the vacuum fluctuation of a massive scalar field. We consider combinations of Dirichlet and Neumann boundary conditions. There is a simple prescription to obtain the functional formulas for the Casimir interaction energies, known as TGTG formula, for the massive interactions from the massless interactions. From the TGTG formulas, we discuss how to compute the small separation asymptotic expansions of the Casimir interaction energies up to the next-to-leading order terms. Unlike the massless case, the results could not be expressed as simple algebraic expressions, but instead could only be expressed as infinite sums over some integrals. Nonetheless, it is easy to show that one can obtain the massless limits which agree with previously established results. We also show that the leading terms agree with that derive using proximity force approximation. The dependence of the leading order terms and the next-to-leading order terms on the mass of the scalar field is studied both numerically and analytically. In particular, we derive the small mass asymptotic expansions of these terms. Surprisingly, the small mass asymptotic expansions are quite complicated as they contain terms that are of odd powers in mass as well as logarithms of mass terms.

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23

Nellen, U., L. Helden, and C. Bechinger. "Tunability of critical Casimir interactions by boundary conditions." EPL (Europhysics Letters) 88, no. 2 (October 1, 2009): 26001. http://dx.doi.org/10.1209/0295-5075/88/26001.

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24

Šarlah, Anderja, PrimoŽ Ziherl, and Slobodan Žumer. "Casimir Interactions and Instability of Thin Nematic Films." Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals 364, no. 1 (August 2001): 443–52. http://dx.doi.org/10.1080/10587250108025014.

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25

Voronina, Yu, I. Komissarov, and K. Sveshnikov. "Casimir interactions between two short-range Coulomb sources." Annals of Physics 404 (May 2019): 132–57. http://dx.doi.org/10.1016/j.aop.2019.02.014.

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26

Mohry, T. F., S. Kondrat, A. Maciołek, and S. Dietrich. "Critical Casimir interactions around the consolute point of a binary solvent." Soft Matter 10, no. 30 (2014): 5510–22. http://dx.doi.org/10.1039/c4sm00622d.

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27

EMIG, T. "CASIMIR PHYSICS: GEOMETRY, SHAPE AND MATERIAL." International Journal of Modern Physics A 25, no. 11 (April 30, 2010): 2177–95. http://dx.doi.org/10.1142/s0217751x10049451.

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The properties of fluctuation induced interactions like van der Waals and Casimir-Lifshitz forces are of interest in a plethora of fields ranging from biophysics to nanotechnology. Here we describe a general approach to compute these interactions. It is based on a combination of methods from statistical physics and scattering theory. We showcase how it is exquisitely suited to analyze a variety of previously unexplored phenomena. Examples are given to show how the interplay of geometry and material properties helps to understand and control these forces.

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28

Sircar, Avirup, Puneet Kumar Patra, and Romesh C. Batra. "Casimir force and its effects on pull-in instability modelled using molecular dynamics simulations." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2242 (October 2020): 20200311. http://dx.doi.org/10.1098/rspa.2020.0311.

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We present a new methodology to incorporate the Casimir forces within the molecular dynamics (MD) framework. At atomistic scales, the potential energy between two particles arising due to the Casimir effect can be represented as U ( r ij ) = C / r 7 . Incorporating the Casimir effect in MD simulations requires the knowledge of C , a problem hitherto unsolved. We overcome this by equating the total potential energy contributions due to each atomistic pair with the potential energy of continuum scale interacting bodies having similar geometries. After having identified the functional form of C , standard MD simulations are augmented with the potential energy contribution due to pairwise Casimir interactions. The developed framework is used to study effects of the Casimir force on the pull-in instability of rectangular and hollow cylindrical shaped deformable electrodes separated by a small distance from a fixed substrate electrode. Our MD results for pull-instability qualitatively agree with the previously reported analytical results but are quantitatively different. The effect of using longer-ranged Casimir forces in a constant temperature environment on the pull-in behaviour has also been studied.

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29

IORIO, ALFREDO, SAMIK SEN, and SIDDHARTHA SEN. "DO QUANTUM EFFECTS HOLD TOGETHER DNA CONDENSATES?" International Journal of Modern Physics B 24, no. 03 (January 30, 2010): 323–30. http://dx.doi.org/10.1142/s0217979210054919.

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We model DNA-cation complexes as infinite, one-dimensional, charged wires to single-out the interaction due to quantum fluctuations of the electric field from counterion-induced and water-related interactions. We obtain a frustration-free Casimir-like (codimension 2) interaction that extensive numerical analysis show to be a good candidate to explain the formation and stability of DNA aggregates.

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30

PAVLOVSKY, OLEG, and MAXIM ULYBYSHEV. "CASIMIR ENERGY CALCULATIONS WITHIN THE FORMALISM OF NONCOMPACT LATTICE QED." International Journal of Modern Physics A 25, no. 12 (May 10, 2010): 2457–73. http://dx.doi.org/10.1142/s0217751x10048378.

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A new method based on the Monte Carlo calculation on the lattice is proposed for studying the Casimir effect in noncompact lattice QED. As a test of our method, we have studied the standard Casimir problem for the two parallel plane surfaces (mirrors) with the oblique boundary conditions. Physically, these boundary conditions may appear in the problem of modeling the thin material film interactions, and can be generated by the additional Chern–Simons boundary term. This method of boundary condition generation is very suitable — due to its gauge invariance — for the lattice formulation of the Casimir problem.

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31

Berman, P. R., G. W. Ford, and P. W. Milonni. "Coupled-oscillator theory of dispersion and Casimir-Polder interactions." Journal of Chemical Physics 141, no. 16 (October 28, 2014): 164105. http://dx.doi.org/10.1063/1.4898355.

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32

Babb, James F., and Mahir S. Hussein. "Van der Waals and Casimir-Polder interactions between neutrons." EPJ Web of Conferences 113 (2016): 08001. http://dx.doi.org/10.1051/epjconf/201611308001.

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33

Bimonte, G., T. Emig, and M. Kardar. "Conformal field theory of critical Casimir interactions in 2D." EPL (Europhysics Letters) 104, no. 2 (October 1, 2013): 21001. http://dx.doi.org/10.1209/0295-5075/104/21001.

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34

Santos, A. F., and Faqir C. Khanna. "Casimir effect and Stefan–Boltzmann law in Yang–Mills theory at finite temperature." International Journal of Modern Physics A 34, no. 23 (August 20, 2019): 1950128. http://dx.doi.org/10.1142/s0217751x19501288.

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A non-Abelian gauge theory describes the strong interactions among particles with the commutator of generators are nonzero. An [Formula: see text] gauge theory describes the interactions that lead to nuclear forces among particles. The Lagrangian density refers to fermions with color and flavor and the gauge field quanta implying gluons. The gauge theory is treated at finite temperature using the Thermo Field Dynamics (TFD). Using self-interaction of gluons, the Stefan–Boltzmann law and the Casimir effect are calculated at finite temperature. An appendix is attached to give a response of a massless quarks in gauge theory.

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35

Sedmik, René I. P., and Mario Pitschmann. "Next Generation Design and Prospects for Cannex." Universe 7, no. 7 (July 9, 2021): 234. http://dx.doi.org/10.3390/universe7070234.

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The Casimir And Non-Newtonian force EXperiment (Cannex) implements the unique geometry of macroscopic plane parallel plates that guarantees an optimum sensitivity with respect to interfacial forces and their gradients. Based on experience from the recently completed proof-of-principle phase, we have started a re-design of the setup aiming to reduce systematic effects and maximize the achievable sensitivity. Several propositions have been made to measure Casimir forces in and out of thermal equilibrium, hypothetical axion and axion-like dark matter interactions, and forces originating from chameleon or symmetron dark energy interactions. In the present article, we give details on the design for the next implementation stage of Cannex and discuss the experimental opportunities, as well as limitations expected for this new setup.

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36

Karimi Pour Haddadan, Fahimeh, Ali Naji, Azin Khame Seifi, and Rudolf Podgornik. "Pseudo-Casimir interactions across nematic films with disordered anchoring axis." Journal of Physics: Condensed Matter 26, no. 7 (January 22, 2014): 075103. http://dx.doi.org/10.1088/0953-8984/26/7/075103.

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37

Fiedler, Johannes, Wijnand Broer, and Stefan Scheel. "Reconstruction of Casimir—Polder interactions from matter-wave interference experiments." Journal of Physics B: Atomic, Molecular and Optical Physics 50, no. 15 (July 11, 2017): 155501. http://dx.doi.org/10.1088/1361-6455/aa7b69.

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38

Karimi Pour Haddadan, Fahimeh, Ali Naji, and Rudolf Podgornik. "Casimir-like interactions and surface anchoring duality in bookshelf geometry of smectic-A liquid crystals." Soft Matter 15, no. 10 (2019): 2216–22. http://dx.doi.org/10.1039/c8sm02328j.

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We analyze the transverse intersubstrate Casimir-like force, arising as a result of thermal fluctuations of the liquid crystalline layers of a smectic-A film confined between two planar substrates in a bookshelf geometry, in which the equidistant smectic layers are placed perpendicular to the bounding surfaces.

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39

Buhmann, Stefan Yoshi, Hassan Safari, Dirk-Gunnar Welsch, and Ho Trung Dung. "Microscopic Origin of Casimir-Polder Forces." Open Systems & Information Dynamics 13, no. 04 (December 2006): 427–36. http://dx.doi.org/10.1007/s11080-006-9024-0.

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We establish a general relation between dispersion forces. First, based on QED in causal media, leading-order perturbation theory is used to express both the single-atom Casimir-Polder and the two-atom van der Waals potentials in terms of the atomic polarizabilities and the Green tensor for the body-assisted electromagnetic field. Endowed with this geometry-independent framework, we then employ the Born expansion of the Green tensor together with the Clausius-Mosotti relation to prove that the macroscopic Casimir-Polder potential of an atom in the presence of dielectric bodies is due to an infinite sum of its microscopic many-atom van der Waals interactions with the atoms comprising the bodies. This theorem holds for inhomogeneous, dispersing, and absorbing bodies of arbitrary shapes and arbitrary atomic composition on an arbitrary background of additional magnetodielectric bodies.

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40

Yolcu, C., I. Z. Rothstein, and M. Deserno. "Effective field theory approach to Casimir interactions on soft matter surfaces." EPL (Europhysics Letters) 96, no. 2 (September 23, 2011): 20003. http://dx.doi.org/10.1209/0295-5075/96/20003.

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41

Tasios, Nikos, John R. Edison, René van Roij, Robert Evans, and Marjolein Dijkstra. "Critical Casimir interactions and colloidal self-assembly in near-critical solvents." Journal of Chemical Physics 145, no. 8 (August 28, 2016): 084902. http://dx.doi.org/10.1063/1.4961437.

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42

Klimchitskaya, G. L., E. V. Blagov, and V. M. Mostepanenko. "van der Waals and Casimir interactions between atoms and carbon nanotubes." Journal of Physics A: Mathematical and Theoretical 41, no. 16 (April 9, 2008): 164012. http://dx.doi.org/10.1088/1751-8113/41/16/164012.

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43

Dean, David S., Bing Miao, and Rudolf Podgornik. "Thermal Casimir interactions for higher derivative field Lagrangians: generalized Brazovskii models." Journal of Physics A: Mathematical and Theoretical 53, no. 35 (August 13, 2020): 355005. http://dx.doi.org/10.1088/1751-8121/aba05d.

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44

Venkataram, Prashanth S., Jan Hermann, Teerit J. Vongkovit, Alexandre Tkatchenko, and Alejandro W. Rodriguez. "Impact of nuclear vibrations on van der Waals and Casimir interactions at zero and finite temperature." Science Advances 5, no. 11 (November 2019): eaaw0456. http://dx.doi.org/10.1126/sciadv.aaw0456.

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Recent advances in measuring van der Waals (vdW) interactions have probed forces on molecules at nanometric separations from metal surfaces and demonstrated the importance of infrared nonlocal polarization response and temperature effects, yet predictive theories for these systems remain lacking. We present a theoretical framework for computing vdW interactions among molecular structures, accounting for geometry, short-range electronic delocalization, dissipation, and collective nuclear vibrations (phonons) at atomic scales, along with long-range electromagnetic interactions in arbitrary macroscopic environments. We primarily consider experimentally relevant low-dimensional carbon allotropes, including fullerenes, carbyne, and graphene, and find that phonons couple strongly with long-range electromagnetic fields depending on molecular dimensionality and dissipation, especially at nanometric scales, creating delocalized phonon polaritons that substantially modify infrared molecular response. These polaritons, in turn, alter vdW interaction energies between molecular and macroscopic structures, producing nonmonotonic power laws and nontrivial temperature variations at nanometric separations feasible in current experiments.

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45

Jentschura, Ulrich D. "From first principles of QED to an application: hyperfine structure of P states of muonic hydrogenThis paper was presented at the International Conference on Precision Physics of Simple Atomic Systems, held at École de Physique, les Houches, France, 30 May – 4 June, 2010." Canadian Journal of Physics 89, no. 1 (January 2011): 109–15. http://dx.doi.org/10.1139/p10-092.

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The purpose of this article is twofold. First, we attempt to give a brief overview of the different application areas of quantum electrodynamics (QED). These include fundamental physics (prediction of atomic energy levels), where the atom may be exposed to additional external fields (hyperfine splitting and g factor). We also mention QED processes in highly intense laser fields and more applied areas like Casimir and Casimir–Polder interactions. Both the unifying aspects as well as the differences in the the theoretical treatment required by these application areas (such as the treatment of infinities) are highlighted. Second, we discuss an application of the formalism in the fundamentally interesting area of the prediction of energy levels, namely, the hyperfine structure of P states of muonic hydrogen.

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46

HE, XIAO-GANG. "HIGGS MASS FROM A CASIMIR ENERGY INDUCED COSMOLOGICAL CONSTANT IN THE STANDARD MODEL." Modern Physics Letters A 19, no. 13n16 (May 30, 2004): 1195–201. http://dx.doi.org/10.1142/s0217732304014550.

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Casimir vacuum energy is divergent. It needs to be regularized. The regularization introduces a renormalization scale which may lead to a scale dependent cosmological constant. We show that the requirement of physical cosmological constant is renormalization scale independent provides important constraints on possible particle contents and their masses in particle physics models. In the Standard Model of strong and electroweak interactions, besides the Casimir vacuum energy there is also vacuum energy induced from spontaneous symmetry breaking. The requirement that the total vacuum energy to be scale independent dictates the Higgs mass to be [Formula: see text] where the summation is over fermions and Ni equals to 3 and 1 for quarks and leptons, respectively. The Higgs mass is predicted to be approximately 382 GeV.

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47

Schiefele, J., and C. Henkel. "Casimir energy of a BEC: from moderate interactions to the ideal gas." Journal of Physics A: Mathematical and Theoretical 42, no. 4 (December 17, 2008): 045401. http://dx.doi.org/10.1088/1751-8113/42/4/045401.

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48

Dommersnes, P. G., and J. B. Fournier. "Casimir and mean-field interactions between membrane inclusions subject to external torques." Europhysics Letters (EPL) 46, no. 2 (April 15, 1999): 256–61. http://dx.doi.org/10.1209/epl/i1999-00253-5.

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49

Balbinot, Roberto, and Alessandro Fabbri. "Amplifying the Hawking Signal in BECs." Advances in High Energy Physics 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/713574.

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Abstract:

We consider simple models of Bose-Einstein condensates to study analog pair-creation effects, namely, the Hawking effect from acoustic black holes and the dynamical Casimir effect in rapidly time-dependent backgrounds. We also focus on a proposal by Cornell to amplify the Hawking signal in density-density correlators by reducing the atoms’ interactions shortly before measurements are made.

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Klimchitskaya, Galina L. "Constraints on Theoretical Predictions beyond the Standard Model from the Casimir Effect and Some Other Tabletop Physics." Universe 7, no. 3 (February 26, 2021): 47. http://dx.doi.org/10.3390/universe7030047.

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We review the hypothetical interactions predicted beyond the Standard Model which could be constrained by using the results of tabletop laboratory experiments. These interactions are described by the power-type potentials with different powers, Yukawa potential, other spin-independent potentials, and by the spin-dependent potentials of different kinds. In all these cases the current constraints on respective hypothetical interactions are considered which follow from the Casimir effect and some other tabletop physics. The exotic particles and constraints on them are discussed in the context of problems of the quantum vacuum, dark energy, and the cosmological constant.

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