On the Analytic Structure of the Self-Energy for Massive Gauge Bosons at Finite Temperature

Details On the Analytic Structure of the Self-Energy for Massive Gauge Bosons at Finite Temperature On the Analytic Structure of the Self-Energy for Massive Gauge Bosons at Finite Temperature

1992-11-30

arxiv.org/abs/hep-ph/9211334v1

Phys.Rev.D47:4698-4704,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

(uses harvmac), 13 pages plus 4 postscript figures (in a separate uuencoded file, or available through e-mail upon request), U

Scientific paper

10.1103/PhysRevD.47.4698

We show that the one-loop self-energy at finite temperature has a unique limit as the external momentum $p_\mu\rightarrow 0$ {\it if} the loop involves propagators with distinct masses. This naturally arises in theories involving particles with different masses as is demonstrated for a toy model of two scalars as well as in a $U(1)$ Higgs theory. We show that, in spontaneously broken gauge theories, this observation nonetheless does not affect the difference between the Debye and plasmon masses, which are often thought of as the $(p_0=0, \vec{p}\to 0)$ and $(p_0\to 0,\vec{p}=0)$ limits of the self-energy.

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