Berry phase in lattice QCD

Abstract

We propose the lattice QCD calculation of the Berry phase which is defined by the ground state of a single fermion. We perform the ground-state projection of a single-fermion propagator, construct the Berry link variable on a momentum-space lattice, and calculate the Berry phase. As the first application, the first Chern number of the (2+1)-dimensional Wilson fermion is calculated by the Monte Carlo simulation.

References in corpus (5)

• Topological Field Theory of Time-Reversal Invariant Insulators
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Path-integral Monte Carlo method for the local Z_2 Berry phase
• Domain-wall, overlap, and topological insulators

Cited by in corpus (9)

• Topological responses from gapped Weyl points in 2D altermagnets
• Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential in Dirac semimetals
• Lattice Quantum Monte Carlo Study of Chiral Magnetic Effect in Dirac Semimetals
• Lattice field theory simulations of Dirac semimetals
• Quantum Monte Carlo simulation of topological phase transitions
• Charged particles interaction in both a finite volume and a uniform magnetic field II: topological and analytic properties of a magnetic system
• Abelian and non-Abelian Berry curvatures in lattice QCD
• Efficient Berry Phase Calculation via Adaptive Variational Quantum Computing Approach
• Lattice QCD simulation of the Berry curvature