Phase transition and critical behavior of thed=3 Gross-Neveu model

2002/03/31 by Felix Höfling, F. Hoefling, C. Nowak +2 · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1103/physrevb.66.205111

published as Phys.Rev. B66 (2002) 205111 · 4 pages, 1 figure; v4 corresponds to the published article

openalex publication_date 2002/11/27 · arxiv created 2002/11/28 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A second-order phase transition for the three-dimensional Gross-Neveu model is established for one fermion species, N=1. This transition breaks a paritylike discrete symmetry. It constitutes its peculiar universality class with critical exponent \ensuremathν=0.63 and scalar and fermionic anomalous dimensions \ensuremathη_\ensuremathσ=0.31 and \ensuremathη_\ensuremathψ=0.11, respectively. We also compute critical exponents for other N. Our results are based on exact renormalization-group equations.

Citations

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Group Analysis of the Chiral Critical Behavior in QED

Cited by

• Phase transition in the 3D massive Gross-Neveu model
• Many-flavor phase diagram of the (2 + 1)dGross–Neveu model at finite temperature
• Optimization of field-dependent nonperturbative renormalization group flows