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Chiral symmetry at finite temperature: linear vs nonlinear $\sigma$-models
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abstract
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.
Forward citations
Cited by 2 Pith papers
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Properties of the $D_{s0}^*(2317)^\pm$ in hot and dense nuclear matter
A coupled-channel molecular model predicts that in nuclear matter the D_s0*(2317)+ shifts downward and broadens with density, while temperature narrows it and broadens its antiparticle, yielding a possible structural test.
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Kinetic Mixing and Axial Charges in the Parity-Doublet Model
Kinetic mixing terms are introduced in the parity-doublet model to reproduce the empirical axial charge g_A ≈ 1.28 of the nucleon along with masses of the nucleon and N*(1535).
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