The Three Dimensional Thirring Model for Small N_f

L. Del Debbio, S. hands, J. mehegan

Research output: Contribution to journalArticlepeer-review

Abstract

We formulate the three dimensional Thirring model on a spacetime lattice and study it for various even numbers of fermion flavors N_f by Monte Carlo simulation. We find clear evidence for spontaneous chiral symmetry breaking at strong coupling, contradicting the predictions of the 1/N_f expansion. The critical point appears to correspond to an ultra-violet fixed point of the renormalisation group; a fit to a RG-inspired equation of state in the vicinity of the fixed point yields distinct critical exponents for N_f=2 and N_f=4, while no fit is found for N_f=6, suggesting there is a critical number N_fc
Original languageEnglish
Pages (from-to)269–308
JournalNuclear physics b
Volume502
Issue number1-2
DOIs
Publication statusPublished - 30 Jan 1997

Keywords

  • hep-lat
  • hep-th
  • Four-Fermi
  • Monte Carlo simulation
  • Dynamical fermions
  • Chiral symmetry breaking
  • Renormalisation group fixed point

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