2PI functional techniques for gauge theories: QED

Details 2PI functional techniques for gauge theories: QED 2PI functional techniques for gauge theories: QED

2009-06-16

arxiv.org/abs/0906.2881v1

Annals Phys.325:969-1017,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

65 pages, 18 figures

Scientific paper

10.1016/j.aop.2009.11.005

We discuss the formulation of the prototype gauge field theory, QED, in the context of two-particle-irreducible (2PI) functional techniques with particular emphasis on the issues of renormalization and gauge symmetry. We show how to renormalize all $n$-point vertex functions of the (gauge-fixed) theory at any approximation order in the 2PI loop-expansion by properly adjusting a finite set of local counterterms consistent with the underlying gauge symmetry. The paper is divided in three parts: a self-contained presentation of the main results and their possible implementation for practical applications; a detailed analysis of ultraviolet divergences and their removal; a number of appendices collecting technical details.

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