Logarithmic corrections to the equation of state in the SU(2) ⊗ SU(2) Nambu-Jona-Lasinio model

1997/05/12 by Simon Hands, John B. Kogut · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1016/s0550-3213(98)00154-0

published as Nucl.Phys. B520 (1998) 382-408 · 37 pages LaTeX (RevTeX) including 12 .eps figures

arxiv created 1997/05/12 · openalex publication_date 1998/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present results from a Monte Carlo simulation of the Nambu - Jona-Lasinio model, with continuous SU(2)xSU(2) chiral symmetry, in four Euclidean dimensions. Different model equations of state, corresponding to different theoretical scenarios, are tested against the order parameter data. The results are sensitive to necessary assumptions about the shape and extent of the scaling region. Our best fits favour a trivial scenario in which the logarithmic corrections are qualitatively similar to those predicted by the large N_f approximation. This is supported by a separate analysis of finite volume corrections for data taken directly in the chiral limit.

Citations

• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Renormalization group analysis of finite-size scaling in the ø44 model

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