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The 3-D O(4) universality class and the phase transition in two-flavor QCD

Toldin, Francesco Parisen and Pelissetto, Andrea and Vicari, Ettore (2003) The 3-D O(4) universality class and the phase transition in two-flavor QCD. Journal of High Energy Physics, 0307 . 029. ISSN 1029-8479

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We determine the critical equation of state of the three-dimensional O(4) universality class. We first consider the small-field expansion of the effective potential (Helmholtz free energy). Then, we apply a systematic approximation scheme based on polynomial parametric representations that are valid in the whole critical regime, satisfy the correct analytic properties (Griffiths' analyticity), take into account the Goldstone singularities at the coexistence curve, and match the small-field expansion of the effective potential. From the approximate representations of the equation of state, we obtain estimates of several universal amplitude ratios. The three-dimensional O(4) universality class is expected to describe the finite-temperature chiral transition of quantum chromodynamics with two light flavors. Within this picture, the O(4) critical equation of state relates the reduced temperature, the quark masses, and the condensates around T_c in the limit of vanishing quark masses.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Divisions: Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI"
Depositing User: dott.ssa Sandra Faita
Date Deposited: 09 Apr 2015 15:57
Last Modified: 09 Apr 2015 15:57
URI: http://eprints.adm.unipi.it/id/eprint/1835

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