Log Triviality in the Nambu -- Jona-Lasinio Model

Details Log Triviality in the Nambu -- Jona-Lasinio Model Log Triviality in the Nambu -- Jona-Lasinio Model

1997-09-15

arxiv.org/abs/hep-lat/9709041v1

Nucl.Phys.Proc.Suppl. 63 (1998) 673-675

Physics

High Energy Physics

High Energy Physics - Lattice

3 page contribution to proceedings of LAT'97

Scientific paper

10.1016/S0920-5632(97)00868-2

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.

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