English

Phase structure for lattice fermions with flavored chemical potential terms

High Energy Physics - Lattice 2012-08-14 v2 High Energy Physics - Phenomenology

Abstract

We discuss the chiral phase diagram in the parameter space of lattice QCD with minimal-doubling fermions, which can be seen as lattice fermions with flavored chemical potential terms. We study strong-coupling lattice QCD with the Karsten-Wilczek formulation, which has one relevant parameter μ3\mu_{3} as well as gauge coupling and a mass parameter. We find a nontrivial chiral phase structure with a second-order phase transition between chiral symmetric and broken phases. To capture the whole structure of the phase diagram, we study the related lattice Gross-Neveu model. The result indicates that the chiral phase transition also exists in the weak-coupling region. From these results we speculate on the μ3\mu_{3}-g2g^{2} chiral phase diagram in lattice QCD with minimal-doubling fermions, and discuss their application to numerical simulations.

Keywords

Cite

@article{arxiv.1206.0969,
  title  = {Phase structure for lattice fermions with flavored chemical potential terms},
  author = {Tatsuhiro Misumi},
  journal= {arXiv preprint arXiv:1206.0969},
  year   = {2012}
}

Comments

34 pages, 9 figures; extended discussion on Lorentz symmetry for general values of parameters, two figures added, references added, version to appear in JHEP

R2 v1 2026-06-21T21:14:33.869Z