Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-05-23
JHEP 0307 (2003) 029
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, 5 figs
Scientific paper
10.1088/1126-6708/2003/07/029
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.
Pelissetto Andrea
Toldin Francesco Parisen
Vicari Ettore
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