The $θ$-Vacua and the Leutwyler--Smilga Scaling Regime

dc.creatorLenaghan, J. T.
dc.date2001-11-01
dc.date.accessioned2026-07-07T03:45:42Z
dc.date.available2026-07-07T03:45:42Z
dc.descriptionThe partition function of QCD is studied in the Leutwyler--Smilga scaling regime for an arbitrary number of quark flavors and masses including the contributions from all winding numbers. For $N_f=2$ and degenerate quark masses, the partition function becomes independent of the quark masses at $θ=π$ and subsequently the scalar chiral condensate vanishes. There is a discontinuity at $θ=π$ in the first derivative of the energy density with respect to $θ$ corresponding to the first--order phase transition in which CP is spontaneously broken, known as Dashen's phenomena. These properties are found to be insensitive to both the pattern of chiral symmetry breaking and the representation of the quark fields.
dc.description2 pages, contribution to the International Conference on Statistical QCD, Bielefeld, Germany, 26-30 Aug 2001
dc.identifierhttps://arxiv.org/abs/hep-ph/0111007
dc.identifierhttp://arxiv.org/abs/hep-ph/0111007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/41024
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe $θ$-Vacua and the Leutwyler--Smilga Scaling Regime
dc.typetext

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