Phase structure for lattice fermions with flavored chemical potential terms
arXiv:1206.0969 · doi:10.1007/JHEP08(2012)068
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 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 - chiral phase diagram in lattice QCD with minimal-doubling fermions, and discuss their application to numerical simulations.
34 pages, 9 figures; extended discussion on Lorentz symmetry for general values of parameters, two figures added, references added, version to appear in JHEP
References in corpus (12)
- Four-dimensional graphene and chiral fermions
- Creutz Fermions on an Orthogonal Lattice
- Broken Symmetries from Minimally Doubled Fermions
- Index Theorem and Overlap Formalism with Naive and Minimally Doubled Fermions
- Aoki Phases in the Lattice Gross-Neveu Model with Flavored Mass terms
- Search for Fermion Actions on Hyperdiamond Lattices
- Graphene, Lattice QFT and Symmetries
- Classification of Minimally Doubled Fermions
- On the consistency of the Aoki-phase
- Twisted Mass, Overlap and Creutz Fermions: Cut-off Effects at Tree-level of Perturbation Theory
- QCD with two flavors of Wilson fermions: The QCD vacuum, the Aoki vacuum and other vacua
- Search for Chiral Fermion Actions on Non-Orthogonal Lattices