Thermodynamics of the O(4) linear and nonlinear models within the auxiliary field method

Details Thermodynamics of the O(4) linear and nonlinear models within the auxiliary field method Thermodynamics of the O(4) linear and nonlinear models within the auxiliary field method

2011-08-10

arxiv.org/abs/1108.2180v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Prepared for the Proceedings of the Excited QCD 2011 Workshop, Les Houches (France), 20-25 February 2011; 6 pages, 3 figures

Scientific paper

The study of the O(N) model at nonzero temperature is presented applying the auxiliary field method, which allows to obtain a continuous transformation between the linear and the nonlinear version of the model. In case of explicitly broken chiral symmetry the order of the chiral phase transition changes from crossover to first order as the vacuum mass of the $\sigma$ particle increases. In the chiral limit one observes a first order phase transition and the Goldstone's theorem is fulfilled.

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