Non-perturbative aspects of screening phenomena in abelian and non abelian gauge theories

Details Non-perturbative aspects of screening phenomena in abelian and non abelian gauge theories Non-perturbative aspects of screening phenomena in abelian and non abelian gauge theories

1995-06-27

arxiv.org/abs/hep-ph/9506438v1

Nucl.Phys. B459 (1996) 559-588

Physics

High Energy Physics

High Energy Physics - Phenomenology

29 pages, LaTex, 7 figures (not included, available upon request)

Scientific paper

10.1016/0550-3213(95)00547-1

When computed to one-loop order in resummed perturbation theory, the non-abelian Debye mass appears to be logarithmically sensitive to the magnetic scale $g^2T$. More generally, we show that in higher orders power-like infrared divergences forbid the use of perturbation theory to calculate the corrections to Debye screening. A similar infrared problem occurs in the determination of the mass-shell for the scalar propagator in 2+1-dimensional scalar electrodynamics. In this context, we provide a non-perturbative approach which solves the infrared problems and allows for an accurate calculation of the scalar propagator in the vicinity of the mass-shell.

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