Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-08-09
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, 7 figures
Scientific paper
We consider a linear O(N) model and introduce an auxiliary field to eliminate the scalar self-interaction. Using a suitable limiting process this model can be continuously transformed into the nonlinear O(N) model. We study this model at nonzero temperature applying the CJT formalism. Due to the presence of the auxiliary field the effective potential and, consequently, the equations for the order parameter and the masses of the particles turn out to be different from those previously obtained in similar studies of the linear and nonlinear O(N) models. The order of the chiral phase transition depends sensitively on the choice of the renormalization scheme. In the linear version of the model and for explicitly broken chiral symmetry, it turns from crossover to first order as the mass of the $\sigma$ particle increases. In the nonlinear case, the order of the phase transition turns out to be of first order. In the region where the parameter space of the model allows for physical solutions of the gap equations, Goldstone's theorem is always fulfilled.
Giacosa Francesco
Rischke Dirk H.
Seel Elina
Strüber Stefan
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