Selfconsistent approximations, symmetries and choice of representation

Details Selfconsistent approximations, symmetries and choice of representation Selfconsistent approximations, symmetries and choice of representation

2006-10-26

arxiv.org/abs/hep-ph/0610356v1

Phys.Lett.B646:155-164,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages

Scientific paper

10.1016/j.physletb.2007.01.028

In thermal field theory selfconsistent (Phi-derivable) approximations are used to improve (resum) propagators at the level of two-particle irreducible diagrams. At the same time vertices are treated at the bare level. Therefore such approximations typically violate the Ward identities connected to internal symmetries. Examples are presented how such violations can be tamed by a proper choice of representation for the fields which describe the system under consideration. These examples cover the issue of massless Goldstone bosons in the linear sigma model and the Nambu--Jona-Lasinio model and the problem of current conservation in theories with massive vector mesons.

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