Log Triviality in the Nambu -- Jona-Lasinio Model

Abstract

Results are presented from a Monte Carlo simulation of the Nambu -- Jona-Lasinio model with SU(2)xSU(2) chiral symmetry and N_f=2 flavors of fermion. We show that fits to the equation of state are sensitive to the shape and extent of the assumed scaling region; the best fits favour a triviality scenario predicted by the large-N_f approximation, in which the scalar degrees of freedom are fermion -- anti-fermion composites with wavefunction renormalisation constant vanishing logarithmically in the continuum limit.

3 page contribution to proceedings of LAT'97

References in corpus (2)

• Scaling analysis of the O(4)-symmetric ${\Phi }^4$-theory in the broken phase
• Compositeness, Triviality and Bounds on Critical Exponents for Fermions and Magnets