Chiral symmetry breaking patterns in the U_L(n)xU_R(n) meson model

Abstract

Chiral symmetry breaking patterns are investigated in the U_L(n)xU_R(n) meson model. It is shown that new classes of minima of the effective potential belonging to the center of the Lie algebra exist for arbitrary flavor number n. The true ground state of the system is searched nonperturbatively and although multiple local minima of the effective potential may exist, it is argued that in regions of the parameter space applicable for the strong interaction, strictly a U_L(n)xU_R(n)->U_V(n) spontaneous symmetry breaking is possible. The reason behind this is the existence of a discrete subset of axial symmetries, which connects various U_V(n) symmetric vacua of the theory. The results are in agreement with the Vafa-Witten theorem of QCD, illustrating that it remains valid, even without gauge fields, for an effective model of the strong interaction.

ReVTeX4, 11 pages, 2 figures. Discussion on the stability of the potential included

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Cited by in corpus (6)

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• Low-energy limit of the $O(4)$ quark-meson model from the functional renormalization group approach
• Functional dependence of axial anomaly via mesonic fluctuations in the three flavor linear sigma model
• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. III. Shock and rarefaction waves in RG flows reveal limitations of the $N\to \infty$ limit in $O(N)$-type models
• Comparing symmetry restoration trends for meson masses and mixing angles in the QCD-like three quark flavor models
• Fluctuation induced first order phase transition in U(n)xU(n) models using chiral invariant expansion of functional renormalization group flows