TEMPERATURE INDUCED CASIMIR EFFECT IN KALUZA-KLEIN SUPERSYMMETRIC THEORIES COMPACTIFIED ON TORUS

1989 ◽  
Vol 04 (27) ◽  
pp. 2609-2615 ◽  
Author(s):  
A.A. BYTSENKO ◽  
S.A. KTITOROV
Keyword(s):  
Free Energy ◽  
Natural Number ◽  
Finite Temperature ◽  
Casimir Effect ◽  
Ultra Violet ◽  
Supersymmetric Models ◽  
Infra Red ◽  
The One ◽  
Supersymmetric Theories ◽  
Kaluza Klein

The Casimir effect at finite temperature is studied for the supersymmetric field models and supermembranes in manifolds with topologies M=Rd−N×TN, N=1,…, d−1 and a natural number d≥4. For supersymmetric models infra-red and ultra-violet behavior of the one-loop free energy is regular contrarily to the supermembranes for which regularized free energy has ultra-violet divergences at critical Hagedorn temperature.

ZETA-FUNCTION REGULARIZATION APPROACH TO FINITE TEMPERATURE EFFECTS IN KALUZA-KLEIN SPACE-TIMES

1992 ◽  
Vol 07 (29) ◽  
pp. 2669-2683 ◽  
Author(s):  
ANDREI A. BYTSENKO ◽  
LUCIANO VANZO ◽  
SERGIO ZERBINI
Keyword(s):  
Zeta Function ◽  
Finite Temperature ◽  
Space Time ◽  
Discrete Torsion ◽  
Minkowski Space Time ◽  
Dimensional Minkowski Space ◽  
High Temperature Expansion ◽  
Kernel Approach ◽  
The One ◽  
Kaluza Klein

In the framework of heat-kernel approach to zeta-function regularization, the one-loop effective potential at finite temperature for scalar and spinor fields on Kaluza-Klein space-time of the form [Formula: see text], where MP is p-dimensional Minkowski space-time is evaluated. In particular, when the compact manifold is [Formula: see text], the Selberg trace formula associated with discrete torsion-free group Γ of the n-dimensional Lobachevsky space Hn is used. An explicit representation for the thermodynamic potential valid for arbitrary temperature is found. As a result a complete high temperature expansion is presented and the roles of zero modes and topological contributions is discussed.

FINITE TEMPERATURE EFFECTIVE POTENTIAL IN A KALUZA-KLEIN UNIVERSE

1990 ◽  
Vol 05 (02) ◽  
pp. 353-361 ◽  
Author(s):  
PINAKI ROY
Keyword(s):  
Low Temperature ◽  
Effective Potential ◽  
Finite Temperature ◽  
Scalar Fields ◽  
Walker Metric ◽  
The One ◽  
Kaluza Klein

We evaluate the finite temperature one-loop effective potential for scalar fields in Kaluza-Klein universe consisting of the product of a space with open Robertson-Walker metric and the N sphere SN. The one-loop effective potential has been computed in both high and low temperature limits.

CASIMIR EFFECT IN MULTIDIMENSIONAL QUANTUM SUPER-GRAVITIES AND SUPERSYMMETRY BREAKING

1988 ◽  
Vol 03 (14) ◽  
pp. 1391-1399 ◽  
Author(s):  
S.D. ODINTSOV
Keyword(s):  
Effective Action ◽  
Casimir Effect ◽  
Gravitational Energy ◽  
Temperature Phase ◽  
Zero Temperature ◽  
Dimensional Torus ◽  
Curved Space ◽  
Temperature Phase Transition ◽  
The One ◽  
Kaluza Klein

The one-loop effective action (the Casimir gravitational energy) of the aribitrary Einstein supergravity on the background [Formula: see text], where [Formula: see text] is the Minkowski space with non-zero temperature, Td is the d-dimensional torus, is calculated. The problem of quantum breaking of supersymmetry is discussed. The Vilkovisky-De Witt effective action in the D-dimensional Einstein gravity with the Λ-term on the background [Formula: see text] is found. An idea is expressed that a temperature phase transition in Kaluza-Klein theories is possible. For d=5 gravity, the Vilkovisky-De Witt effective action on the [Formula: see text], where [Formula: see text] is four-dimensional curved space-time with non-zero temperature, is found.

scholarly journals Magnetic field corrections to the repulsive Casimir effect at finite temperature

2016 ◽  
Vol 31 (07) ◽  
pp. 1650018 ◽  
Author(s):  
Andrea Erdas
Keyword(s):  
Magnetic Field ◽  
Free Energy ◽  
High Temperature ◽  
Finite Temperature ◽  
Casimir Effect ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Parallel Plates ◽  
The Magnetic Field ◽  
Plate Distance

I investigate the finite temperature Casimir effect for a charged and massless scalar field satisfying mixed (Dirichlet–Neumann) boundary conditions on a pair of plane parallel plates of infinite size. The effect of a uniform magnetic field, perpendicular to the plates, on the Helmholtz free energy and Casimir pressure is studied. The [Formula: see text]-function regularization technique is used to obtain finite results. Simple analytic expressions are obtained for the zeta function and the free energy, in the limits of small plate distance, high temperature and strong magnetic field. The Casimir pressure is obtained in each of the three limits and the situation of a magnetic field present between and outside the plates, as well as that of a magnetic field present only between the plates is examined. It is discovered that, in the small plate distance and high temperature limits, the repulsive pressure is less when the magnetic field is present between the plates but not outside, than it is when the magnetic field is present between and outside the plates.

ON THE DIMERIZATION OF LINEAR POLYMERS

1989 ◽  
Vol 03 (02) ◽  
pp. 125-133 ◽  
Author(s):  
C. ARAGÃO DE CARVALHO
Keyword(s):  
Free Energy ◽  
Effective Potential ◽  
Ground State ◽  
Finite Temperature ◽  
Continuum Limit ◽  
Linear Polymers ◽  
Renormalization Condition ◽  
Loop Approximation ◽  
The One ◽  
The Continuum

We use the continuum limit of the Su-Schrieffer-Heeger model for linear polymers to construct its effective potential (Gibbs free energy) both at zero and finite temperature. We study both trans and cis-polymers. Our results show that, depending on a renormalization condition to be extracted from experiment, there are several possibilities for the minima of the dimerized ground state of cis-polymers. All calculations are done in the one-loop approximation.

scholarly journals THEORY OF THE CASIMIR EFFECT FOR GRAPHENE AT FINITE TEMPERATURE

2012 ◽  
Vol 14 ◽  
pp. 435-444 ◽  
Author(s):  
VALERY N. MARACHEVSKY
Keyword(s):  
Free Energy ◽  
High Temperature ◽  
Finite Temperature ◽  
Graphene Layer ◽  
Casimir Effect ◽  
Temperature Behavior ◽  
Metal System ◽  
High Temperature Behavior ◽  
Metal Metal

Theory of the Casimir effect for a flat graphene layer interacting with a parallel flat material is presented in detail. The high-temperature asymptotics of a free energy in a graphene-metal system coincides with a Drude high-temperature asymptotics of the metal-metal system. High-temperature behavior in the graphene-metal system is expected at separations of the order of 100 nm at temperature T = 300 K .

FINITE TEMPERATURE CASIMIR EFFECT FOR PERFECTLY CONDUCTING PARALLEL PLATES IN (D + 1)-DIMENSIONAL SPACETIME

2012 ◽  
Vol 07 ◽  
pp. 202-208
Author(s):  
XIANG-HUA ZHAI ◽  
YANG YANG ◽  
JIE LAI
Keyword(s):  
Free Energy ◽  
Zeta Function ◽  
Finite Temperature ◽  
Casimir Effect ◽  
Casimir Energy ◽  
Parallel Plates ◽  
Regularization Technique ◽  
Asymptotic Expressions ◽  
Dimensional Spacetime ◽  
Riemann Zeta

We study the finite temperature Casimir effect between perfectly conducting parallel plates in (D + 1)-dimensional spacetime by using zeta-function regularization technique. We get the analytical results for Casimir energy, Casimir free energy, Casimir entropy and Casimir pressure expressed by Riemann zeta function and Bessel function and give the asymptotic expressions for low and high temperature limits. In the case of D = 3, through mathematic transformation, we reproduce the standard results in the literature which is in most times obtained by using Green's function regularization technique.

scholarly journals On finite temperature Casimir effect for Dirac lattices

2020 ◽  
Vol 35 (03) ◽  
pp. 2040019
Author(s):  
Irina Pirozhenko
Keyword(s):  
Free Energy ◽  
High Temperature ◽  
Heat Kernel ◽  
Finite Temperature ◽  
Casimir Effect ◽  
Delta Function ◽  
Nonzero Temperature ◽  
Heat Kernel Expansion

We consider polarizable sheets modeled by a lattice of delta function potentials. The Casimir interaction of two such lattices is calculated at nonzero temperature. The heat kernel expansion for periodic singular background is discussed in relation with the high temperature asymptote of the free energy.

EPSTEIN-FUNCTION ANALYSIS OF THE CASIMIR EFFECT AT FINITE TEMPERATURE FOR MASSIVE FIELDS

1992 ◽  
Vol 07 (29) ◽  
pp. 7365-7399 ◽  
Author(s):  
E. ELIZALDE ◽  
A. ROMEO
Keyword(s):  
Free Energy ◽  
Low Temperature ◽  
Finite Temperature ◽  
Dirichlet Boundary ◽  
Casimir Effect ◽  
Function Analysis ◽  
Zeta Functions ◽  
Dirichlet Boundary Conditions ◽  
Bosonic Field ◽  
Arbitrary Dimensions

The Casimir free energy for a massive bosonic field subject to Dirichlet boundary conditions on hypercuboids of arbitrary dimensions is evaluated in the form of power and exponential expansions for the high- and low-temperature limits, respectively, with the aid of both homogeneous and inhomogeneous multidimensional Epstein zeta functions.

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