English

Quantum critical behavior in three dimensional lattice Gross-Neveu models

High Energy Physics - Lattice 2013-08-09 v1 Strongly Correlated Electrons Nuclear Theory

Abstract

We study quantum critical behavior in three dimensional lattice Gross-Neveu models containing two massless Dirac fermions. We focus on two models with SU(2) flavor symmetry and either a Z2Z_2 or a U(1) chiral symmetry. Both models could not be studied earlier due to sign problems. We use the fermion bag approach which is free of sign problems and compute critical exponents at the phase transitions. We estimate ν=0.83(1)\nu = 0.83(1), η=0.62(1)\eta = 0.62(1), ηψ=0.38(1)\eta_\psi = 0.38(1) in the Z2Z_2 and ν=0.849(8)\nu = 0.849(8), η=0.633(8)\eta = 0.633(8), ηψ=0.373(3)\eta_\psi = 0.373(3) in the U(1) model.

Keywords

Cite

@article{arxiv.1304.7761,
  title  = {Quantum critical behavior in three dimensional lattice Gross-Neveu models},
  author = {Shailesh Chandrasekharan and Anyi Li},
  journal= {arXiv preprint arXiv:1304.7761},
  year   = {2013}
}

Comments

5 page, 3 figures

R2 v1 2026-06-22T00:08:19.703Z