Crossover from a continuum study of chiral susceptibility

Abstract

We derive a model-independent integral formula for chiral susceptibility and attempt to present a continuum model study of it within the framework of Dyson-Schwinger Equations. An appropriate regularization is implemented to remove the temperature-independent quadratic divergence inherent in this quantity. While it demonstrates a second-order phase transition characteristic in the chiral limit, the result obtained supports a crossover at physical current quark masses, which is in good agreement with recent lattice studies.

15 pages, 2 figures, revtex4

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• Continuum study of various susceptibilities within thermal QED${}_3$
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• The thermal evolution of nuclear matter at zero temperature and definite baryon number density in chiral perturbation theory
• Nature of chiral phase transition in QED${}_3$ at zero density
• A model study of the chiral phase diagram of QCD
• Calculation of the staggered spin correlation in the framework of the Dyson-Schwinger approach
• Influence of light quark loops on the Wigner phase with Dyson-Schwinger equations approach