Dynamical chirality production in one dimension

Abstract

We discuss the quantum computation of dynamical chirality production in lattice gauge theory. Although the chirality of a lattice fermion is complicated in general dimensions, it can be simply formulated on a one-dimensional lattice. The chiral fermion formalism enables us to extract the physical part of the chirality production that would be interpreted as the chiral anomaly in the continuous theory. We demonstrate the computation of the $Z_2$ lattice gauge theory on a classical emulator.

References in corpus (25)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Simulating Lattice Gauge Theories within Quantum Technologies
• A calculation of the bulk viscosity in SU(3) gluodynamics
• A calculation of the shear viscosity in SU(3) gluodynamics
• Chiral Magnetic Wave
• Transport Coefficients of Gluon Plasma
• Thermal dilepton rate and electrical conductivity: An analysis of vector current correlation functions in quenched lattice QCD
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Chiral Plasma Instabilities
• Electrical conductivity of the quark-gluon plasma across the deconfinement transition
• Electrical conductivity and charge diffusion in thermal QCD from the lattice
• Temperature dependence of shear viscosity of $SU(3)$--gluodynamics within lattice simulation
• Quantum simulation of lattice gauge theories using Wilson fermions
• Real-time chiral dynamics from a digital quantum simulation
• Lattice study of electromagnetic conductivity of quark-gluon plasma in external magnetic field
• Chiral effects in astrophysics and cosmology
• The sphaleron rate from Euclidean lattice correlators: an exploration
• Study of shear viscosity of SU (2)-gluodynamics within lattice simulation
• Bayesian inference of real-time dynamics from lattice QCD
• The Sphaleron Rate from 4D Euclidean Lattices
• Temporal Chiral Spiral in Strong Magnetic Fields
• Ginsparg-Wilson Relation and Spin Chains
• Chiral fermion in the Hamiltonian lattice gauge theory
• Canonical Approach to Ginsparg-Wilson Fermion

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