Log Triviality in the Nambu -- Jona-Lasinio Model
Simon Hands
Abstract
Results are presented from a Monte Carlo simulation of the Nambu -- Jona-Lasinio model with SU(2)xSU(2) chiral symmetry and Nf=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-Nf approximation, in which the scalar degrees of freedom are fermion -- anti-fermion composites with wavefunction renormalisation constant vanishing logarithmically in the continuum limit.
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