1997/06/24 by Simon Hands, Hands, Simon
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #hep-lat
paper · pdf · doi:10.48550/arxiv.hep-lat/9706018
19 pages LaTeX, contribution to the 1st APCTP-ICTP Joint International Conference on Recent Developments in Non-Perturbative Methods, May 1997, Seoul, Korea
arxiv created 1997/06/24 · arxiv updated 2009/12/01
I review dynamical chiral symmetry breaking in four-fermi models, including results of Monte Carlo simulations with dynamical fermions. For 2<d<4, where the phase transition defines an ultraviolet fixed point of the renormalisation group, the continuum theory may either be describable using the large-Nf expansion, as in the case of the Gross-Neveu model, or be intrinsically non-perturbative, as in the case of the Thirring model. For d=4, the models are trivial and are described by a mean field equation of state with logarithmic corrections to scaling, which may nonetheless define new universality classes distinct from those of ferromagnetism.