The scalar field at finite temperature

1996 ◽  
pp. 35-61 ◽  
Keyword(s):  
Scalar Field ◽  
Finite Temperature

scholarly journals GAP EQUATION IN SCALAR FIELD THEORY AT FINITE TEMPERATURE

1999 ◽  
Vol 14 (04) ◽  
pp. 257-266
Author(s):  
KRISHNENDU MUKHERJEE
Keyword(s):  
Field Theory ◽  
Perturbation Theory ◽  
Scalar Field ◽  
Imaginary Part ◽  
Finite Temperature ◽  
Thermal Mass ◽  
Scalar Field Theory ◽  
Gap Equation ◽  
The Real

We investigate the two-loop gap equation for the thermal mass of hot massless g2ϕ4 theory and find that the gap equation itself has a nonzero finite imaginary part. This implies that it is not possible to find the real thermal mass as a solution of the gap equation beyond g2 order in perturbation theory. We have solved the gap equation and obtained the real and imaginary parts of the thermal mass which are correct up to g4 order in perturbation theory.

scholarly journals Generalized Gaussian Effective Potential: Second-Order Thermal Corrections

1997 ◽  
Vol 12 (15) ◽  
pp. 1077-1085
Author(s):  
Paolo Cea ◽  
Luigi Tedesco
Keyword(s):  
Scalar Field ◽  
Effective Potential ◽  
Finite Temperature ◽  
Spatial Dimension ◽  
Simple Relation ◽  
Second Order ◽  
The Self ◽  
Gaussian Effective Potential

We discuss the finite temperature generalized Gaussian effective potential. We put out a very simple relation between the thermal corrections to the generalized Gaussian effective potential and those of the effective potential. We evaluate explicitly the second-order thermal corrections in the case of the self-interacting scalar field in one spatial dimension.

SCHWINGER α-PARAMETRIC REPRESENTATION OF FINITE TEMPERATURE FIELD THEORIES: RENORMALIZATION

1990 ◽  
Vol 05 (23) ◽  
pp. 4427-4440 ◽  
Author(s):  
M. BENHAMOU ◽  
A. KASSOU-OU-ALI
Keyword(s):  
Temperature Field ◽  
Scalar Field ◽  
Finite Temperature ◽  
Short Range ◽  
Parametric Representation ◽  
Field Theories ◽  
Compact Form ◽  
Zero Temperature ◽  
Feynman Amplitudes ◽  
Temperature Scalar

We present the extension of the zero temperature Schwinger α-representation to the finite temperature scalar field theories. We give, in a compact form, the α-integrand of Feynman amplitudes of these theories. Using this representation, we analyze short-range divergences, and recover in a simple way the known result that the counterterms are temperature-independent.

Conformal complex scalar field wormhole at finite temperature

1992 ◽  
Vol 107 (9) ◽  
pp. 1003-1009 ◽  
Author(s):  
You-Gen Shen ◽  
Zhen-Qiang Tan ◽  
Yong-Jiu Wang
Keyword(s):  
Scalar Field ◽  
Finite Temperature ◽  
Complex Scalar ◽  
Complex Scalar Field

Electromagnetic thermal corrections to Casimir energy

2016 ◽  
Vol 31 (22) ◽  
pp. 1650127 ◽  
Author(s):  
Borzoo Nazari
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Scalar Field ◽  
Finite Temperature ◽  
Casimir Effect ◽  
Casimir Energy ◽  
Parallel Plates ◽  
Weak Gravitational Field

In [B. Nazari, Mod. Phys. Lett. A 31, 1650007 (2016)], we calculated finite temperature corrections to the energy of the Casimir effect of two conducting parallel plates in a general weak gravitational field. The calculations was done for the case a scalar field was present between the plates. Here we find the same results in the presence of an electromagnetic field.

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