Anomalies at finite density and chiral fermions

Abstract

Using perturbation theory in the Euclidean (imaginary time) formalism as well as the non-perturbative Fujikawa method, we verify that the chiral anomaly equation remains unaffected in the presence of nonzero chemical potential, $\mu$. We extend our considerations to fermions with exact chiral symmetry on the lattice and discuss the consequences for the recent Bloch-Wettig proposal for the Dirac operator at finite chemical potential. We propose a new simpler method of incorporating $\mu$ and compare it with the Bloch-Wettig idea.

12 pages, 3 figures,some typos corrected, a better proof for the μindependence of anomaly is given in section IIB, v4: the published version

References in corpus (5)

• QCD at finite chemical potential with six time slices
• The critical end point of QCD
• Overlap Dirac operator at nonzero chemical potential and random matrix theory
• Domain-wall and overlap fermions at nonzero quark chemical potential
• Thermodynamics of the ideal overlap quarks on the lattice

Cited by in corpus (15)

• Anomalous transport with overlap fermions
• Singular values of the Dirac operator in dense QCD-like theories
• The finite temperature QCD using 2+1 flavors of domain wall fermions at N_t = 8
• QCD thermodynamics with dynamical overlap fermions
• Chiral asymmetry and axial anomaly in magnetized relativistic matter
• Novel Topological Effects in Dense QCD in a Magnetic Field
• QCD Critical Point: The Race is On
• Divergences in the quark number susceptibility : The origin and a cure
• A faster method of computation of lattice quark number susceptibilities
• Exact chiral invariance at finite density on the lattice
• Chiral pair of Fermi arcs, anomaly cancelation, and spin or valley Hall effects in inversion symmetry-broken Weyl metals
• Phases of circle-compactified QCD with adjoint fermions at finite density
• Topological zero modes at nonzero chemical potential
• Exact Chiral Invariance at Finite Density on Lattice
• Anomaly at finite density and chiral fermions on lattice