Strange mass dependence of the tricritical point in the U(3)_L x U(3)_R chiral sigma model

Details Strange mass dependence of the tricritical point in the U(3)_L x U(3)_R chiral sigma model Strange mass dependence of the tricritical point in the U(3)_L x U(3)_R chiral sigma model

2010-07-16

arxiv.org/abs/1007.2877v1

Phys.Rev.D82:125038,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 6 figures, uses revtex4-1

Scientific paper

10.1103/PhysRevD.82.125038

We study the strange quark mass dependence of the tricritical point of the U(3)_L x U(3)_R linear sigma model in the chiral limit. Assuming that the tricritical point is at a large strange mass value, the strange sector as well as the \eta-a_0 sector decouples from the light degrees of freedom which determines the thermodynamics. By tracing this decoupling we arrive from the original U(3)_L x U(3)_R symmetric model, going through the U(2)_L x U(2)_R symmetric one, at the SU(2)_L x SU(2)_R linear sigma model. One-loop level beta functions for the running of the parameters in each of these models and tree-level matching of the coupling of these models performed at intermediate scales are used to determine the influence of the heavy sector on the parameters of the SU(2)_L x SU(2)_R linear sigma model. By investigating the thermodynamics of this latter model we identified the tricritical surface of the U(3)_L x U(3)_R linear sigma model in the chiral limit. To apply the results for QCD we used different scenarios for the m_s and \mu_q dependence of the effective model parameters, then the \mu_q^TCP(m_s) function can be determined. Depending on the details, a curve bending upwards or downwards near \mu_q=0 can be obtained, while with explicit chemical potential dependence of the parameters the direction of the curve can change with m_s, too.

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