The kinetic energy for the static SU(2) Polyakov line

2003/09/12 by Michaela Oswald
Physics and Astronomy · #hep-ph

paper · pdf

published as Acta Phys.Polon. B34 (2003) 5847-5856 · 9 pages, 3 figures. Proceedings for Cracow School of Theoretical Physics, Zakopane, May 30 - June 08, 2003

arxiv created 2003/09/12 · arxiv updated 2009/12/01

Abstract

At very high temperatures Yang--Mills theories can be described through perturbation theory. At the tree level the time components of the gluon fields decouple and yield a dimensionally reduced theory. The expectation value of the Polyakov loop then assumes values of the Z(N) center group. At intermediate temperatures, however, this is not true anymore. The time dependence shows up in loops. In a recent work we integrated out fast varying quantum fluctuations around background A_i and static A₄ fields. We assumed that these fields are slowly varying but that the amplitude of A₄ is arbitrary. As a result we obtained the kinetic energy terms for the Polyakov loop both for the electric and the magnetic sector of SU(2).

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