Journal article

Selfconsistent approximations, symmetries and choice of representation


Authors listLeupold, Stefan

Publication year2007

Pages155-164

JournalPhysics Letters B

Volume number646

Issue number4

ISSN0370-2693

eISSN1873-2445

Open access statusGreen

DOI Linkhttps://doi.org/10.1016/j.physletb.2007.01.028

PublisherElsevier


Abstract
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 perturbative 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. (c) 2007 Elsevier B.V. All rights reserved.



Citation Styles

Harvard Citation styleLeupold, S. (2007) Selfconsistent approximations, symmetries and choice of representation, Physics Letters B, 646(4), pp. 155-164. https://doi.org/10.1016/j.physletb.2007.01.028

APA Citation styleLeupold, S. (2007). Selfconsistent approximations, symmetries and choice of representation. Physics Letters B. 646(4), 155-164. https://doi.org/10.1016/j.physletb.2007.01.028



Keywords


2PI EFFECTIVE ACTIONCHIRAL LAGRANGIANSENTROPY PRINCIPLEPHI-DERIVABLE APPROXIMATIONSRENORMALIZATIONselfconsistent approximationsSELF-CONSISTENT APPROXIMATIONSSUPERFLUID SYSTEMSSYMMETRIESthermal field theoryTHERMALIZATION

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