Wigner functions in covariant and single-time formulations

Ochs, Stefan and Heinz, Ulrich (1998) Wigner functions in covariant and single-time formulations. ANNALS OF PHYSICS, 266 (2). pp. 351-416. ISSN 0003-4916, 1096-035X

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Abstract

We will establish the connection between the Lorentz covariant and so-called single-time formulation for the quark Wigner operator. To, this end we will discuss the initial value problem for the Wigner operator of a field theory and give a discussion of the gauge-covariant formulation for the Wigner operator including some new results concerning the chiral limit. We discuss the gradient or semi-classical expansion and the color and spinor decomposition of the equations of motion for the Wigner operator. The single-time formulation will be derived from the covariant formulation by taking energy moments of the equations for the Wigner operator. For external fields we prove that only the lowest energy moments of the quark Wigner operator contain dynamical information. (C) 1998 Academic Press.

Item Type: Article
Uncontrolled Keywords: QUANTUM TRANSPORT-THEORY; HEAVY-ION COLLISIONS; QUARK-GLUON PLASMA; NUCLEAR-MATTER; EQUATIONS; SCALAR; FIELD; THERMODYNAMICS; OPERATOR; VACUUM
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 23 Feb 2023 11:27
Last Modified: 23 Feb 2023 11:27
URI: https://pred.uni-regensburg.de/id/eprint/49683

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