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arXiv · hep-th/9401002

Hard Thermal Loops, Static Response and the Composite Effective Action

R. Jackiw·Q. Liu·C. Lucchesi
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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.

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R. Jackiw, Q. Liu, C. Lucchesi. 1994-03-07. Hard Thermal Loops, Static Response and the Composite Effective Action. https://doi.org/10.1103/physrevd.49.6787

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