Spontaneously broken ground states of the U(n)L×U(n) R linear sigma model at large n

G. Fejos, A. Patkós

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Abstract

Symmetry breaking patterns of the U(n)L×U(n)R symmetric meson model are investigated in a formulation involving three auxiliary composite fields. The effective potential is constructed at leading order in the 1/n expansion for a condensate belonging to the center of the U(n) group. A wide region is found in the coupling space, where, in addition to the condensate proportional to the unit matrix, also metastable minima exist even in the chiral limit, in which a further breakdown of the diagonal UV(n) symmetry to UV(n-1) is realized. Application of a moderate external field conjugate to this component of the order parameter changes this state into the true ground state of the system.

Original languageEnglish
Article number036001
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume84
Issue number3
DOIs
Publication statusPublished - Aug 1 2011

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ASJC Scopus subject areas

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

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