Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-09-12
Acta Phys.Polon. B34 (2003) 5847-5856
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, 3 figures. Proceedings for Cracow School of Theoretical Physics, Zakopane, May 30 - June 08, 2003
Scientific paper
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 A_4 fields. We assumed that these fields are slowly varying but that the amplitude of A_4 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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