English

Anomalies at finite density and chiral fermions

High Energy Physics - Lattice 2010-03-04 v4 High Energy Physics - Phenomenology High Energy Physics - Theory

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, μ\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 μ\mu and compare it with the Bloch-Wettig idea.

Keywords

Cite

@article{arxiv.0906.5188,
  title  = {Anomalies at finite density and chiral fermions},
  author = {R. V. Gavai and Sayantan Sharma},
  journal= {arXiv preprint arXiv:0906.5188},
  year   = {2010}
}

Comments

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