Finite temperature symmetry restoration in the U_L(3)xU_R(3) linear sigma model from a large-n approximation

Abstract

A recently proposed approximate large-n ground state solution of the U_L(n)xU_R(n) symmetric linear sigma model is investigated at finite temperature. We study the coupled evaporation of two condensates corresponding to the symmetry breaking pattern U_L(3)xU_R(3) -> U_V(2), realized by the ground state in certain parts of the coupling space. The region of the fluctuation induced first order transitions and its second order boundary is mapped out. The existence of a tricritical point is conjectured.

RevTeX4, 6 pages, 3 figures. Shortened version, extended evidence for the tricritical point. Published in Phys. Rev. D

References in corpus (5)

• Second-order and Fluctuation-induced First-order Phase Transitions with Functional Renormalization Group Equations
• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• Resummed one-loop determination of the phase boundary of the SU(3)_R x SU(3)_L linear sigma model in the m_pi-m_K-plane
• A renormalized large-n solution of the U(n) x U(n) linear sigma model in the broken symmetry phase
• Spontaneously broken ground states of the U(n)_L x U(n)_R linear sigma model at large n

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