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The Three Dimensional Thirring Model for Small N_f

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Original languageEnglish
Pages (from-to)269–308
JournalNuclear physics b
Issue number1-2
Publication statusPublished - 30 Jan 1997


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

    Research areas

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

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