scholarly journals Derivative expansion of the heat kernel at finite temperature

2012 ◽  
Vol 85 (4) ◽  
Author(s):  
F. J. Moral-Gámez ◽  
L. L. Salcedo
Keyword(s):  
Heat Kernel ◽  
Finite Temperature ◽  
Derivative 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 Holographic KMS relations at finite density

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
R. Loganayagam ◽  
Krishnendu Ray ◽  
Shivam K. Sharma ◽  
Akhil Sivakumar
Keyword(s):  
Dirac Equation ◽  
Real Time ◽  
Hawking Radiation ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Derivative Expansion ◽  
Finite Density ◽  
The Real

Abstract We extend the holographic Schwinger-Keldysh prescription introduced in [1] to charged black branes, with a view towards studying Hawking radiation in these backgrounds. Equivalently we study the real time fluctuations of the dual CFT held at finite temperature and finite chemical potential. We check our prescription using charged Dirac probe fields. We solve the Dirac equation in a boundary derivative expansion extending the results in [2]. The Schwinger-Keldysh correlators derived using this prescription automatically satisfy the appropriate KMS relations with Fermi-Dirac factors.

scholarly journals Finite Temperature Lattice QCD in the Large N Limit

1997 ◽  
Vol 12 (10) ◽  
pp. 1783-1845 ◽  
Author(s):  
M. Billó ◽  
M. Caselle ◽  
A. d'Adda ◽  
S. Panzeri
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Lattice Qcd ◽  
Heat Kernel ◽  
Finite Temperature ◽  
Weak Coupling ◽  
Order Approximation ◽  
Zeroth Order ◽  
Large N ◽  
Temperature Lattice

Our aim is to give a self-contained review of recent advances in the analytic description of the deconfinement transition and determination of the deconfinement temperature in lattice QCD at large N. We also include some new results, as for instance in the comparison of the analytic results with Monte Carlo simulations. We first review the general set-up of finite temperature lattice gauge theories, using asymmetric lattices, and develop a consistent perturbative expansion in the coupling βs of the spacelike plaquettes. We study in detail the effective models for the Polyakov loop obtained, in the zeroth order approximation in βs, both from the Wilson action (symmetric lattice) and from the heat kernel action (completely asymmetric lattice). The distinctive feature of the heat kernel model is its relation with two-dimensional QCD on a cylinder; the Wilson model, on the other hand, can be exactly reduced to a twisted one-plaquette model via a procedure of the Eguchi–Kawai type. In the weak coupling regime both models can be related to exactly solvable Kazakov–Migdal matrix models. The instability of the weak coupling solution is due in both cases to a condensation of instantons; in the heat kernel case, this is directly related to the Douglas–Kazakov transition of QCD2. A detailed analysis of these results provides rather accurate predictions of the deconfinement temperature. In spite of the zeroth order approximation they are in good agreement with the Monte Carlo simulations in 2 + 1 dimensions, while in 3 + 1 dimensions they only agree with the Monte Carlo results away from the continuum limit.

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