scholarly journals Temperature inversion symmetry in the Casimir effect with an antiperiodic boundary condition

2003 ◽  
Vol 67 (10) ◽  
Author(s):  
A. C. Aguiar Pinto ◽  
T. M. Britto ◽  
F. Pascoal ◽  
F. S. S. da Rosa
Keyword(s):  
Boundary Condition ◽  
Casimir Effect ◽  
Temperature Inversion ◽  
Inversion Symmetry ◽  
Antiperiodic Boundary Condition

Temperature inversion symmetry in the Casimir effect

1989 ◽  
Vol 40 (12) ◽  
pp. 4191-4192 ◽  
Author(s):  
F. Ravndal ◽  
D. Tollefsen
Keyword(s):  
Casimir Effect ◽  
Temperature Inversion ◽  
Inversion Symmetry

scholarly journals Modular invariance in finite temperature Casimir effect

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Francesco Alessio ◽  
Glenn Barnich
Keyword(s):  
Partition Function ◽  
Chemical Potential ◽  
Casimir Effect ◽  
Temperature Inversion ◽  
Massless Scalar ◽  
Partition Functions ◽  
Parallel Plates ◽  
Modular Transformations ◽  
Real Analytic ◽  
Set Up

Abstract The temperature inversion symmetry of the partition function of the electromagnetic field in the set-up of the Casimir effect is extended to full modular transformations by turning on a purely imaginary chemical potential for adapted spin angular momentum. The extended partition function is expressed in terms of a real analytic Eisenstein series. These results become transparent after explicitly showing equivalence of the partition functions for Maxwell’s theory between perfectly conducting parallel plates and for a massless scalar with periodic boundary conditions.

Electromagnetic Casimir effect of concentric cylinders in (D + 1)-dimensional space–time

2019 ◽  
Vol 34 (08) ◽  
pp. 1950035
Author(s):  
Chun Yong Chew ◽  
Yong Kheng Goh
Keyword(s):  
Boundary Condition ◽  
Interaction Energy ◽  
Casimir Effect ◽  
Dimensional Space ◽  
Order Term ◽  
Perturbation Technique ◽  
Space Time ◽  
Concentric Cylinders ◽  
Dimensional Minkowski Space ◽  
Dimensional Space Time

We study the electromagnetic Casimir interaction energy between two parallel concentric cylinders in [Formula: see text]-dimensional Minkowski space–time for different combinations of perfectly conducting boundary condition and infinitely permeable boundary condition. We consider two cases where one cylinder is outside each other and where one is inside the other. By solving the equation of motion and computing the TGTG formulas, explicit formulas for the Casimir interaction energy can be derived and asymptotic behavior of the Casimir interaction energy in the nanoregime is calculated by using perturbation technique. We computed the interaction energy analytically up to next-to-leading order term.

scholarly journals Thermodynamic limit and twisted boundary energy of the XXZ spin chain with antiperiodic boundary condition

2018 ◽  
Vol 936 ◽  
pp. 501-519 ◽  
Author(s):  
Zhirong Xin ◽  
Yi Qiao ◽  
Kun Hao ◽  
Junpeng Cao ◽  
Wen-Li Yang ◽  
...  
Keyword(s):  
Boundary Condition ◽  
Thermodynamic Limit ◽  
Spin Chain ◽  
Boundary Energy ◽  
Antiperiodic Boundary Condition

scholarly journals Fermionic Casimir effect in Horava–Lifshitz theories

2019 ◽  
Vol 34 (20) ◽  
pp. 1950107
Author(s):  
Dêivid R. da Silva ◽  
M. B. Cruz ◽  
E. R. Bezerra de Mello
Keyword(s):  
Boundary Condition ◽  
Casimir Effect ◽  
Lorentz Symmetry ◽  
Casimir Energy ◽  
Quantum Field ◽  
Parallel Plates ◽  
Symmetry Violation ◽  
Massless Quantum

In this paper, we analyze the fermionic Casimir effects associated with a massless quantum field in the context of Lorentz symmetry violation approach based on Horava–Lifshitz methodology. In order to obtain these observables, we impose the standard MIT bag boundary condition on the fields on two large and parallel plates. Our main objectives are to investigate how the Casimir energy and pressure depend on the parameter associated with the breaking of Lorentz symmetry.

scholarly journals LIGHTFRONT HAMILTONIAN STRUCTURES FOR THE NONLINEAR SIGMA MODEL

1998 ◽  
Vol 13 (14) ◽  
pp. 1133-1142 ◽  
Author(s):  
ASHOK DAS
Keyword(s):  
Boundary Condition ◽  
Sigma Model ◽  
Nonlinear Sigma Model ◽  
Hamiltonian Structures ◽  
Antiperiodic Boundary Condition ◽  
Dirac Brackets

We derive the Dirac brackets for the O(N) nonlinear sigma model in the lightfront description with and without constraint. We bring out various subtleties that arise including the fact that antiperiodic boundary condition seems to be preferred.

Temperature inversion symmetry in the Gross-Neveu model

1990 ◽  
Vol 249 (2) ◽  
pp. 266-268 ◽  
Author(s):  
F. Ravndal ◽  
C. Wotzasek
Keyword(s):  
Temperature Inversion ◽  
Inversion Symmetry ◽  
Gross Neveu Model
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