Heat kernel expansion for the Heston-Hull-White model

2021 ◽  
Author(s):  
S.B. Gaal
Keyword(s):  
Heat Kernel ◽  
Heat Kernel Expansion

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 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

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

Heat kernel expansion for nonminimal differential operations and manifolds with torsion

1991 ◽  
Vol 362 (1-2) ◽  
pp. 449-471 ◽  
Author(s):  
V.P. Gusynin ◽  
E.V. Gorbar ◽  
V.V. Romankov
Keyword(s):  
Heat Kernel ◽  
Heat Kernel Expansion
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