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

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006slft.confe.217s&link_type=abstract

Proceedings of the XXIVth International Symposium on Lattice Field Theory. July 23-28, 2006, Tucson, Arizona., p.217.1

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Certain approximate solutions of the continuum Schwinger-Dyson Equations (SDEs) predict chi- ral symmetry breaking in the 3d Thirring model when the number of fermion flavors N f < 4.32 [1] whereas others predict symmetry breaking for all N f [2]. Our results from Monte Carlo sim- ulations 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 f c ≈ 6.5.

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