Chiral symmetry at finite temperature: linear vs nonlinear $σ$-models

Details Chiral symmetry at finite temperature: linear vs nonlinear $σ$-models Chiral symmetry at finite temperature: linear vs nonlinear $σ$-models

1996-02-27

arxiv.org/abs/hep-ph/9602405v1

Phys.Rev. D54 (1996) 4066-4079

Physics

High Energy Physics

High Energy Physics - Phenomenology

29 pages, regular Latex, 5 figures in one Postscript file

Scientific paper

10.1103/PhysRevD.54.4066

The linear O($N$) sigma model undergoes a symmetry restoring phase transition at finite temperature. We show that the nonlinear O($N$) sigma model also undergoes a symmetry restoring phase transition; the critical temperatures are the same when the linear model is treated in mean field approximation and the nonlinear model is treated to leading plus subleading order in the 1/$N$ expansion. We also carefully define and study the behavior of $f_{\pi}$ and the scalar condensate at low temperatures in both models, showing that they are independent of field redefinition.

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