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 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 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.

Heat kernel expansion on a generalized cone

1989 ◽  
Vol 30 (4) ◽  
pp. 770-773 ◽  
Author(s):  
J. S. Dowker
Keyword(s):  
Heat Kernel ◽  
Heat Kernel Expansion

Heat kernel expansion in geometric fields

1987 ◽  
Vol 195 (3) ◽  
pp. 435-438 ◽  
Author(s):  
Guido Cognola ◽  
Sergio Zerbini
Keyword(s):  
Heat Kernel ◽  
Heat Kernel Expansion
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