Renormalized large-n solution of the U(n)×U(n) linear sigma model in the broken symmetry phase

G. Fejos, A. Patkós

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7 Citations (Scopus)

Abstract

Dyson-Schwinger equations for the U(n)×U(n) symmetric matrix sigma model reformulated with two auxiliary fields in a background breaking the symmetry to U(n) are studied in the so-called bare vertex approximation. A large n solution is constructed under the supplementary assumption so that the scalar components are much heavier than the pseudoscalars. The renormalizability of the solution is investigated by explicit construction of the counterterms.

Original languageEnglish
Article number045011
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume82
Issue number4
DOIs
Publication statusPublished - Aug 9 2010

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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