Classical lattice gauge fields with hard thermal loops

doi:10.1016/S0370-2693(97)00851-4

Physics Letters B

Volume 409, Issues 1–4, 18 September 1997, Pages 377-381

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Abstract

We propose a formulation of the long-distance dynamics of gauge theories at finite temperature on a lattice in Minkowski space, including the effects of hard thermal loops on the dynamics of the long wavelength modes. Our approach is based on the dual classical limits of quantum fields as waves and particles in the infrared and ultraviolet limits, respectively. It exhibits manifest invariance under space-dependent lattice gauge transformations and conserves Gauss' law.

References (25)

E. Braaten et al.
Nucl. Phys. B
(1990)
J.C. Taylor et al.
Nucl. Phys. B
(1990)
M.H. Thoma et al.
Nucl. Phys. B
(1991)
A.V. Selikhov et al.
Phys. Lett. B
(1993)
O. Philipsen
Phys. Lett. B
(1993)
J. Ambjørn et al.
Nucl. Phys. B
(1991)
J. Ambjørn et al.
Phys. Lett. B
(1995)
U. Heinz
Ann. Phys. (NY)
(1985)
U. Heinz
Ann. Phys. (NY)
(1986)
P.F. Kelly et al.
Phys. Rev. Lett.
(1994)
P.F. Kelly et al.
Phys. Rev. D
(1994)

R. Efraty et al.

Phys. Rev. Lett.

(1992)

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Classical lattice gauge fields with hard thermal loops

Abstract

Nucl. Phys. B

Nucl. Phys. B

Nucl. Phys. B

Phys. Lett. B

Phys. Lett. B

Nucl. Phys. B

Phys. Lett. B

Ann. Phys. (NY)

Ann. Phys. (NY)

Phys. Rev. Lett.

Phys. Rev. D

Phys. Rev. Lett.