Phase diagram of the three dimensional Thirring model - A Monte Carlo study

Details Phase diagram of the three dimensional Thirring model - A Monte Carlo study Phase diagram of the three dimensional Thirring model - A Monte Carlo study

2007-03-15

arxiv.org/abs/hep-lat/0703016v1

PoSLAT2006:217,2006

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 7 figs, Presented at XXIV International Symposium on Lattice Field Theory (Lattice 2006, Tucson, Arizona)

Scientific paper

Certain approximate solutions of the continuum Schwinger-Dyson Equations (SDEs) predict chiral symmetry breaking in the 3d Thirring model when the number of fermion flavors N_f<4.32 whereas others predict symmetry breaking for all N_f. Our results from Monte Carlo simulations with N_f=6, predict a second order chiral phase transition. The critical coupling in this case corresponds to an ultra-violet fixed point of the renormalization group defining a non-trivial continuum limit. Further, our numerical simulations provide an estimate for the critical number of fermion flavors, N_fc \approx 6.5.

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