Spontaneously broken ground states of the U(n)L x U(n)R linear sigma model at large n
Abstract
Symmetry breaking patterns of the U(n)L x 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, 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.
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