The Three Dimensional Thirring Model for N_f=4 and N_f=6

L. Del Debbio, S. hands

Research output: Contribution to journalArticlepeer-review


We present Monte Carlo simulation results for the three dimensional Thirring model for numbers of fermion flavors N_f=4 and 6. For N_f=4 we find a second order chiral symmetry breaking transition at strong coupling, corresponding to an ultra-violet fixed point of the renormalisation group defining a non-trivial continuum limit. The critical exponents extracted from a fit to a model equation of state are distinct from those found for N_f=2. For N_f=6, in contrast, we present evidence for tunnelling between chirally symmetric and broken vacua at strong coupling, implying that the phase transition is first order and no continuum limit exists. The implications for the phase diagram of the model in the plane of coupling strength and N_f are briefly discussed.
Original languageEnglish
Pages (from-to)339–362
JournalNuclear physics b
Issue number1-2
Publication statusPublished - 10 Feb 1999


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


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