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

Stavros Christofi; Simon Hands; Costas Strouthos

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arXiv · hep-lat/0703016

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

Stavros Christofi·Simon Hands·Costas Strouthos

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Abstract

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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Stavros Christofi, Simon Hands, Costas Strouthos. 2007-03-15. Phase diagram of the three dimensional Thirring model - A Monte Carlo study. https://arxiv.org/abs/hep-lat/0703016

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