Grassmann tensor renormalization group for one-flavor lattice Gross-Neveu model with finite chemical potential

TL;DR

This paper demonstrates the application of Grassmann tensor renormalization group (GTRG) to analyze the one-flavor lattice Gross-Neveu model at finite chemical potential, validating its effectiveness for finite density systems.

Contribution

It introduces a GTRG-based approach for finite density lattice fermion systems and adapts a reweighting-like method for parameter testing.

Findings

GTRG accurately computes fermion density and susceptibility at finite chemical potential.

The reweighting-like method is effective for parameter exploration.

GTRG is validated as a reliable tool for finite density lattice models.

Abstract

We apply the Grassmann tensor renormalization group (GTRG) to the one-flavor lattice Gross-Neveu model in the presence of chemical potential. We compute the fermion number density and its susceptibility and confirm the validity of GTRG for the finite density system. We introduce a method analogous to the reweighting method for Monte Carlo method and test it for some parameters.