The scaling equation of state of the three-dimensional O(N) universality class: N >= 4

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dc.creatorButti, Agostino
dc.creatorToldin, Francesco Parisen
dc.creatorPelissetto, Andrea
dc.creatorVicari, Ettore
dc.date2004-09-13
dc.date.accessioned2026-07-07T03:39:10Z
dc.date.available2026-07-07T03:39:10Z
dc.descriptionWe determine the critical equation of state of the three-dimensional O(N) universality class, for N=4, 5, 6, 32, 64. The N=4 is relevant for the chiral phase transition in QCD with two flavors, the N=5 model is relevant for the SO(5) theory of high-T_c superconductivity, while the N=6 model is relevant for the chiral phase transition in two-color QCD with two flavors. 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 universal amplitude ratios. We also compare our approximate solutions with those obtained in the large-N expansion, up to order 1/N, finding good agreement for N \gtrsim 32.
dc.description3 pages, 2 figures. Talk presented at Lattice2004(spin), Fermilab, June 21-26, 2004
dc.identifierhttps://arxiv.org/abs/hep-lat/0409054
dc.identifierhttp://arxiv.org/abs/hep-lat/0409054
dc.identifierNucl. Phys. B Proc. Suppl. 140 (2005), 808-810
dc.identifierdoi:10.1016/j.nuclphysbps.2004.11.369
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/38821
dc.subjectHigh Energy Physics - Lattice
dc.titleThe scaling equation of state of the three-dimensional O(N) universality class: N >= 4
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