Heat Kernel Expansion at Finite Temperature in Curved Space

1993 ◽  
Vol 10 (2) ◽  
pp. 75-78
Author(s):  
Dianyan Xu ◽  
Xiaofeng Xu
Keyword(s):  
Heat Kernel ◽  
Finite Temperature ◽  
Curved Space ◽  
Heat Kernel Expansion

scholarly journals The Polyakov loop and the heat kernel expansion at finite temperature

2003 ◽  
Vol 563 (3-4) ◽  
pp. 173-178 ◽  
Author(s):  
E. Megı́as ◽  
E. Ruiz Arriola ◽  
L.L. Salcedo
Keyword(s):  
Heat Kernel ◽  
Finite Temperature ◽  
Polyakov Loop ◽  
Heat Kernel Expansion

scholarly journals Heat-kernel expansion at finite temperature

1992 ◽  
Vol 45 (2) ◽  
pp. 586-594 ◽  
Author(s):  
H. Boschi-Filho ◽  
C. P. Natividade ◽  
C. Farina
Keyword(s):  
Heat Kernel ◽  
Finite Temperature ◽  
Heat Kernel Expansion

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.

scholarly journals Logarithmic correction to the entropy of extremal black holes in $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravity

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Gourav Banerjee ◽  
Sudip Karan ◽  
Binata Panda
Keyword(s):  
Black Holes ◽  
Heat Kernel ◽  
Proper Time ◽  
Logarithmic Correction ◽  
Functional Determinant ◽  
Supergravity Theory ◽  
Heat Kernel Expansion ◽  
Determinant Of Laplacian ◽  
Extremal Black Holes ◽  
Classical Background

Abstract We study one-loop covariant effective action of “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory by heat kernel tool. By fluctuating the fields around the classical background, we study the functional determinant of Laplacian differential operator following Seeley-DeWitt technique of heat kernel expansion in proper time. We then compute the Seeley-DeWitt coefficients obtained through the expansion. A particular Seeley-DeWitt coefficient is used for determining the logarithmic correction to Bekenstein-Hawking entropy of extremal black holes using quantum entropy function formalism. We thus determine the logarithmic correction to the entropy of Kerr-Newman, Kerr and Reissner-Nordström black holes in “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory.

scholarly journals DIFFERENTIAL RENORMALIZATION FOR CURVED SPACE AND FINITE TEMPERATURE

1995 ◽  
Vol 10 (19) ◽  
pp. 2819-2839 ◽  
Author(s):  
JORDI COMELLAS ◽  
PETER E. HAAGENSEN ◽  
JOSÉ I. LATORRE
Keyword(s):  
Finite Temperature ◽  
Field Theories ◽  
Coordinate Space ◽  
Renormalization Procedure ◽  
Central Idea ◽  
Curved Space ◽  
Diffeomorphism Invariance ◽  
Differential Renormalization ◽  
Specific Calculations ◽  
Scalar Theories

We derive, based only on simple principles of renormalization in coordinate space, closed renormalized amplitudes and renormalization group constants at one- and two-loop orders for scalar field theories in general backgrounds. This is achieved through a renormalization procedure we develop exploiting the central idea behind differential renormalization, which needs as the only inputs the propagator and the appropriate Laplacian for the backgrounds in question. We work out this coordinate space renormalization in some detail, and subsequently back it up with specific calculations for scalar theories both on curved backgrounds, manifestly preserving diffeomorphism invariance, and at finite temperature.

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