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Absence of equilibrium chiral magnetic effect

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arxiv 1605.08724 v2 pith:SZ7MKY3Y submitted 2016-05-27 hep-ph

M.A. Zubkov This is my paper · ORCID
classification hep-ph
keywords chiralequilibriumeffectfieldinvariantlatticemagneticmodels
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We analyse the $3+1$ 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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Lattice QCD Study of Anomalous Transport Phenomena in Strongly Interacting Matter

    hep-lat 2025-09 conditional novelty 8.0 of 10

    First physical-point lattice QCD calculation of the Chiral Separation Effect conductivity, a zero equilibrium Chiral Magnetic Effect with conserved currents, and a localized equilibrium CME in inhomogeneous fields.

  2. Examining the Anomalous Nature of Chiral Effects in Thermodynamics

    hep-th 2025-07 conditional novelty 7.0 of 10

    The chiral anomaly acquires local-temperature and chemical-potential terms that produce the chiral separation and vortical effects, and it vanishes at global equilibrium.

  3. Topological invariant responsible for the integer QHE and non-commutative geometry

    cond-mat.mes-hall 2026-06 unverdicted novelty 5.0 of 10

    The integer quantum Hall invariant N3 is expressed as a K-theory/cyclic-cohomology pairing; it vanishes on finite lattices and is only conditionally integer in the infinite-lattice limit.

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