Finite-volume analysis of N_f-induced chiral phase transitions

Details Finite-volume analysis of N_f-induced chiral phase transitions Finite-volume analysis of N_f-induced chiral phase transitions

1999-12-03

arxiv.org/abs/hep-ph/9912234v2

Phys.Rev. D62 (2000) 054011

Physics

High Energy Physics

High Energy Physics - Phenomenology

46 pages, 7 figures, RevTex, published version

Scientific paper

10.1103/PhysRevD.62.054011

In the framework of Euclidean QCD on a torus, we study the spectrum of the Dirac operator through inverse moments of its eigenvalues, averaged over topological sets of gluonic configurations. The large-volume dependence of these sums is related to chiral order parameters. We sketch how these results may be applied to lattice simulations in order to investigate the chiral phase transitions occurring when N_f increases. In particular, we demonstrate how Dirac inverse moments at different volumes could be compared to detect in a clean way the phase transition triggered by the suppression of the quark condensate and by the enhancement of the Zweig-rule violation in the vacuum channel.

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