Hard Thermal Loops, Static Response and the Composite Effective Action

Details Hard Thermal Loops, Static Response and the Composite Effective Action Hard Thermal Loops, Static Response and the Composite Effective Action

1994-01-03

arxiv.org/abs/hep-th/9401002v2

Phys.Rev. D49 (1994) 6787-6793

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, MIT preprint CTP#2261. An Appendix [including one (appended) PS figure] presenting a numerical analysis of the stati

Scientific paper

10.1103/PhysRevD.49.6787

First, we investigate the static non-Abelian Kubo equation. We prove that it does not possess finite energy solutions; thereby we establish that gauge theories do not support hard thermal solitons. A similar argument shows that "static" instantons are absent. In addition, we note that the static equations reproduce the expected screening of the non-Abelian electric field by a gauge invariant Debye mass m=gT sqrt((N+N_F/2)/3). Second, we derive the non-Abelian Kubo equation from the composite effective action. This is achieved by showing that the requirement of stationarity of the composite effective action is equivalent, within a kinematical approximation scheme, to the condition of gauge invariance for the generating functional of hard thermal loops.

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