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

J. -P. Blaizot; E. Iancu

doi:10.1016/0550-3213(95)00547-1

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arXiv · hep-ph/9506438

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

J. -P. Blaizot·E. Iancu

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Abstract

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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J. -P. Blaizot, E. Iancu. 1995-06-27. Non-perturbative aspects of screening phenomena in abelian and non abelian gauge theories. https://doi.org/10.1016/0550-3213(95)00547-1

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