Journal article

Chiral symmetry transition in the linear sigma model with quarks: Counting effective QCD degrees of freedom from low to high temperature

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Publication Details

Author list: Ayala Mercado J, Castano-Yepes J. D, Cobos-Martinez J. J, Hernandez-Ortiz S, Mizher A. J, Raya A

Publisher: World Scientific Publishing

Publication year: 2016

Journal: International Journal of Modern Physics A

Volume number: 31

Issue number: 36

Start page: 1

End page: 14

Total number of pages: 14

ISSN: 0217-751X

eISSN: 1793-656X


We use the linear sigma model coupled to quarks, together with a plausible location of
the critical end point (CEP), to study the chiral symmetry transition in the QCD phase
diagram. We compute the effective potential at finite temperature and density up to the
contribution of the ring diagrams, both in the low and high temperature limits, and use
it to compute the pressure and the position of the CEP. In the high temperature regime,
by comparing to results from extrapolated lattice data, we determine the model coupling
constants. Demanding that the CEP remains in the same location when described in
the high temperature limit, we determine again the couplings and the pressure for the
low temperature regime. We show that this procedure gives an average description of
the lattice QCD results for the pressure and that the change from the low to the high
temperature domains in this quantity can be attributed to the change in the coupling
constants which in turn we link to the change in the effective degrees of freedom.


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Last updated on 2017-22-04 at 16:45