1212.3415 (G. Fejos)

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

G. Fejos

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 non-perturbatively and although multiple local minima of the effective potential may exist, it is argued that 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 this certain effective model of the strong interaction.

View original: http://arxiv.org/abs/1212.3415