Resummed one-loop determination of the phase boundary of the SU(3)R x SU(3)L linear sigma model in the mpi-mK-plane
Abstract
Complete one-loop parametrization of the linear sigma model is performed and the phase boundary between first order and crossover transition regions of the mpi-mK-plane is determined using the optimized perturbation theory as a resummation tool of perturbative series. Away from the physical point the parameters of the model were determined by making use of chiral perturbation theory. Along the diagonal mpi=mK of the mass--plane we estimate mpic=110 +- 20 MeV. The location of the tricritical point on the mpi=0 axis is estimated in the interval mKTCP in (1700,1850) MeV.
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