scholarly journals Derivative expansion for the Casimir effect at zero and finite temperature ind+1dimensions

2012 ◽  
Vol 86 (4) ◽  
Author(s):  
César D. Fosco ◽  
Fernando C. Lombardo ◽  
Francisco D. Mazzitelli
Keyword(s):  
Finite Temperature ◽  
Casimir Effect ◽  
Derivative Expansion

Finite Temperature Casimir Effect for Corrugated Plates

2006 ◽  
Vol 23 (11) ◽  
pp. 2928-2931 ◽  
Author(s):  
Zhao Yan ◽  
Shao Cheng-Gang ◽  
Luo Jun
Keyword(s):  
Finite Temperature ◽  
Casimir Effect ◽  
Corrugated Plates

scholarly journals Casimir effect and Stefan–Boltzmann law at finite temperature in a Friedmann–Robertson–Walker universe

2020 ◽  
Vol 29 (07) ◽  
pp. 2050045
Author(s):  
A. F. Santos ◽  
S. C. Ulhoa ◽  
Faqir C. Khanna
Keyword(s):  
Finite Temperature ◽  
Casimir Effect ◽  
Coupling Parameter ◽  
Momentum Tensor ◽  
Thermo Field Dynamics ◽  
Expansion Of The Universe ◽  
The Universe ◽  
Boltzmann Law ◽  
Friedmann Robertson Walker ◽  
General Scale

A spatially flat Friedmann–Robertson–Walker background with a general scale factor is considered. In this spacetime, the energy–momentum tensor of the scalar field with a general curvature coupling parameter is obtained. Using the Thermo Field Dynamics (TFD) formalism, the Stefan–Boltzmann law and the Casimir effect at finite temperature are calculated. The Casimir effect at zero temperature is also considered. The expansion of the universe changes these effects. A discussion of these modifications is presented.

scholarly journals Galilean covariance, Casimir effect and Stefan–Boltzmann law at finite temperature

2017 ◽  
Vol 32 (16) ◽  
pp. 1750094 ◽  
Author(s):  
S. C. Ulhoa ◽  
A. F. Santos ◽  
Faqir C. Khanna
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Finite Temperature ◽  
Temperature Effects ◽  
Casimir Effect ◽  
Quantum Field ◽  
Covariant Quantum ◽  
Thermo Field Dynamics ◽  
Boltzmann Law ◽  
Galilean Covariance

The Galilean covariance, formulated in 5-dimensions space, describes the nonrelativistic physics in a way similar to a Lorentz covariant quantum field theory being considered for relativistic physics. Using a nonrelativistic approach the Stefan–Boltzmann law and the Casimir effect at finite temperature for a particle with spin zero and 1/2 are calculated. The thermo field dynamics is used to include the finite temperature effects.

REGULARIZATION OF GENERAL MULTIDIMENSIONAL EPSTEIN ZETA-FUNCTIONS

1989 ◽  
Vol 01 (01) ◽  
pp. 113-128 ◽  
Author(s):  
E. ELIZALDE ◽  
A. ROMEO
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Partition Function ◽  
Zeta Function ◽  
Finite Temperature ◽  
Casimir Effect ◽  
Zeta Functions ◽  
Quantum Field ◽  
Type Formula

We study expressions for the regularization of general multidimensional Epstein zeta-functions of the type [Formula: see text] After reviewing some classical results in the light of the extended proof of zeta-function regularization recently obtained by the authors, approximate but very quickly convergent expressions for these functions are derived. This type of analysis has many interesting applications, e.g. in any quantum field theory defined in a partially compactified Euclidean spacetime or at finite temperature. As an example, we obtain the partition function for the Casimir effect at finite temperature.

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