Absence of equilibrium chiral magnetic effect
arXiv:1605.08724 · doi:10.1103/PhysRevD.93.105036
Abstract
We analyse the D equilibrium chiral magnetic effect (CME). We apply derivative expansion to the Wigner transform of the two - point Green function. This technique allows us to express the response of electric current to external electromagnetic field strength through the momentum space topological invariant. We consider the wide class of the lattice regularizations of quantum field theory (that includes, in particular, the regularization with Wilson fermions) and also certain lattice models of solid state physics (including those of Dirac semimetals). It appears, that in these models the mentioned topological invariant vanishes identically at nonzero chiral chemical potential. That means, that the bulk equilibrium CME is absent in those systems.
Latex, 18 pages, misprints corrected. arXiv admin note: text overlap with arXiv:1603.03665
References in corpus (10)
- The Chiral Magnetic Effect
- Topological response in Weyl semimetals and the chiral anomaly
- Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
- Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
- Chiral Magnetic conductivity
- Chiral anomaly and local polarization effect from quantum kinetic approach
- Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
- On the Chiral Magnetic Effect in Soft-Wall AdS/QCD
- Some Field Theoretic Issues Regarding the Chiral Magnetic Effect
- Spontaneous chiral symmetry breaking and the Chiral Magnetic Effect for interacting Dirac fermions with chiral imbalance
Cited by in corpus (46)
- Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
- Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
- Pseudo-electromagnetic fields in topological semimetals
- Chiral anomaly and longitudinal magnetotransport in type-II Weyl semimetals
- Quantum Kinetic Theory of the Chiral Anomaly
- Wigner transformation, momentum space topology, and anomalous transport
- Ideal Weyl semimetal with 3D spin-orbit coupled ultracold quantum gas
- Chiral torsional effect
- Chiral Separation Effect in lattice regularization
- The influence of chiral chemical potential, parallel electric and magnetic fields on the critical temperature of QCD
- Superconductivity provides access to the chiral magnetic effect of an unpaired Weyl cone
- Anatomy of the chiral vortical effect
- Influence of interactions on the anomalous quantum Hall effect
- Scale Magnetic Effect in Quantum Electrodynamics and the Wigner-Weyl Formalism
- Topological susceptibility, divergent chiral density and phase diagram of chirally imbalanced QCD medium at finite temperature
- Topological invariant in terms of the Green functions for the Quantum Hall Effect in the presence of varying magnetic field
- Spontaneous Non-Hermiticity in Nambu-Jona-Lasinio model
- Dynamic chiral magnetic effect and anisotropic natural optical activity of tilted Weyl semimetals
- Chiral Separation effect in non-homogeneous systems
- Non-Hermitian Chiral Magnetic Effect in Equilibrium
- Chiral magnetic response to arbitrary axial imbalance
- A Note on Bloch theorem
- Effect of interactions on the topological expression for the chiral separation effect
- Hall effect in the presence of rotation
- Equilibrium Chiral Magnetic Effect: spatial inhomogeneity, finite temperature, interactions
- Schwinger pair creation in Dirac semimetals in the presence of external magnetic and electric fields
- On the absence of the Chiral Magnetic Effect in equilibrium QCD
- Precise Wigner-Weyl calculus for lattice models
- Momentum Space Topology and Non-Dissipative Currents
- Chiral vortical effect generated by chiral anomaly in vortex-skyrmions
- On chiral magnetic effect in Weyl superfluid 3He-A
- Universal chiral magnetic effect in the vortex lattice of a Weyl superconductor
- Phase-space elementary information content of confined Dirac spinors
- Anomalous transport phenomena and momentum space topology
- Chirality imbalance and chiral magnetic effect under a parallel electromagnetic field
- Strongly interacting matter in extreme magnetic fields
- Discrete Wigner-Weyl calculus for the finite lattice
- Hall conductivity as topological invariant in phase space
- Magnetic monopole in a chiral plasma: chiral dyon
- Wigner - Weyl formalism and the propagator of Wilson fermions in the presence of varying external electromagnetic field
- Localized Chiral Magnetic Effect in equilibrium QCD
- No Net Charge Separation in Hot QCD in a Magnetic Field
- Magneto-conductivity and CME in Dirac semimetals from Keldysh technique in Landau levels basis
- Momentum space topology of QCD
- Hall conductivity of strained crystals
- The layered phase of anisotropic gauge theories: A model for topological insulators