Finite temperature symmetry restoration in the UL(3)xUR(3) linear sigma model from a large-n approximation
Abstract
A recently proposed approximate large-n ground state solution of the UL(n)xUR(n) symmetric linear sigma model is investigated at finite temperature. We study the coupled evaporation of two condensates corresponding to the symmetry breaking pattern UL(3)xUR(3) -> UV(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.
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