The Three Dimensional Thirring Model for Small N_f

Details The Three Dimensional Thirring Model for Small N_f The Three Dimensional Thirring Model for Small N_f

1997-01-30

arxiv.org/abs/hep-lat/9701016v1

Nucl.Phys. B502 (1997) 269-308

Physics

High Energy Physics

High Energy Physics - Lattice

50 pages LaTeX, including 16 tables and 20 figures - uses style file ldd_art.sty (included)

Scientific paper

10.1016/S0550-3213(97)00435-5

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<6 beyond which no chiral symmetry breaking occurs. The spectrum of the N_f=2 theory is studied; the states examined vary sharply but continuously across the transition.

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