Hard Thermal Loops, Static Response and the Composite Effective Action
Abstract
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.
Cite
@article{arxiv.hep-th/9401002,
title = {Hard Thermal Loops, Static Response and the Composite Effective Action},
author = {R. Jackiw and Q. Liu and C. Lucchesi},
journal= {arXiv preprint arXiv:hep-th/9401002},
year = {2009}
}
Comments
17 pages, MIT preprint CTP#2261. An Appendix [including one (appended) PS figure] presenting a numerical analysis of the static solutions has been included. A note relating our approach to alternative ones has been added. We have also added references and comments in Section III