Critical Flavor Number in the Three Dimensional Thirring Model

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dc.creatorChristofi, Stavros
dc.creatorHands, Simon
dc.creatorStrouthos, Costas
dc.date2007-01-22
dc.date.accessioned2026-07-07T10:04:07Z
dc.date.available2026-07-07T10:04:07Z
dc.descriptionWe present results of a Monte Carlo simulation of the three dimensional Thirring model with the number of fermion flavors N_f varied between 2 and 18. By identifying the lattice coupling at which the chiral condensate peaks, simulations are be performed at couplings g^2(N_f) corresponding to the strong coupling limit of the continuum theory. The chiral symmetry restoring phase transition is studied as N_f is increased, and the critical number of flavors estimated as N_{fc}=6.6(1). The critical exponents measured at the transition do not agree with self-consistent solutions of the Schwinger-Dyson equations; in particular there is no evidence for the transition being of infinite order. Implications for the critical flavor number in QED_3 are briefly discussed.
dc.description4 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/hep-lat/0701016
dc.identifierhttp://arxiv.org/abs/hep-lat/0701016
dc.identifierPhys.Rev.D75:101701,2007
dc.identifierdoi:10.1103/PhysRevD.75.101701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169547
dc.subjectHigh Energy Physics - Lattice
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Theory
dc.titleCritical Flavor Number in the Three Dimensional Thirring Model
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