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Inhomogeneous Phases in the Chiral Gross-Neveu Model on the Lattice

2021/12/04 by Keita Horie, Horie, Keita, Chiho Nonaka +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2112.02261

openalex publication_date 2021/12/04 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

We discuss possible existence of inhomogeneous phase in low temperature and high density region in the 1+1 dimensional chiral Gross-Neveu ( χGN2 ) model on the lattice. First we investigate the phase structure of the χGN2 model at vanishing chemical potential, changing temperature. From behavior of Δ2 = Σ2 + Π2 as a function of Monte Carlo time, a candidate of an order parameter for chiral symmetry in the χGN2 model is Δ. At vanishing chemical potential, we observe restoration of chiral symmetry at high T. In low temperature and high chemical potential region, we find existence of inhomogeneous phase in spatial correlation functions of σ and π. The signal of inhomogeneous phase in correlation function of Δ is more clearly than that of σ or π.

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