Variational Approach to the Chiral Phase Transition in the Linear Sigma Model

Details Variational Approach to the Chiral Phase Transition in the Linear Sigma Model Variational Approach to the Chiral Phase Transition in the Linear Sigma Model

2008-11-11

arxiv.org/abs/0811.1630v1

Prog.Theor.Phys.121:577-591,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 5 figures, using PTPTeX cls

Scientific paper

10.1143/PTP.121.577

The chiral phase transition at finite temperature is investigated in the linear sigma model, which is regarded as a low energy effective theory of QCD with three momentum cutoff, in the variational method with the Gaussian approximation in the functional Schroedinger picture. It is shown that the Goldstone theorem is retained and the meson pair excitations are automatically included by taking into account the linear response to the external fields. It is pointed out that the behavior of chiral phase transition depends on the three-momentum cutoff, which leads to the careful treatment of the problem.

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