Chiral Symmetry Restoration for the large-$N$ pion gas

Abstract

We analyze chiral restoration within the $O(N+1)/O(N)$ Non-Linear Sigma Model for large $N$ as an effective theory for low-energy QCD at finite temperature $T$. The free energy is constructed diagramatically to $\mathcal{O}(T{M}^3)$ in the pion mass expansion, which allows to derive the quark condensate and the scalar susceptibility in the chiral limit. At this order, we do not have to deal with renormalization, neither from divergences from mass tadpoles nor from those of higher order loop contributions. Our results for the critical behaviour are consistent with expectations from lattice analysis and with previous works where the susceptibility is saturated by the thermal $f_0(500)$ pole.

13 pages, 5 figures. Version accepted in Phys.Rev.D

References in corpus (3)

• The QCD transition temperature: results with physical masses in the continuum limit II.
• Role of the tetraquark in the chiral phase transition
• Scalar susceptibilities and four-quark condensates in the meson gas within Chiral Perturbation Theory

Cited by in corpus (3)

• Triggering the QCD phase transition through the Unruh effect: chiral symmetry restoration for uniformly accelerated observers
• Degeneracy patterns of chiral companions at finite temperature
• Light Meson Masses using AdS/QCD modified Soft Wall Model