Localization in lattice QCD (with emphasis on practical implications)
arXiv:hep-lat/0309027 · doi:10.1016/S0920-5632(03)02516-7
Abstract
When Anderson localization takes place in a quenched disordered system, a continuous symmetry can be broken spontaneously without accompanying Goldstone bosons. Elaborating on this observation we propose a unified, microscopic physical picture of the phase diagram of both quenched and unquenched QCD with two flavors of Wilson fermions. The phase with Goldstone bosons -- by definition the Aoki phase -- is always identified as the region where the mobility edge of the (hermitian) Wilson operator is zero. We then discuss the implications for domain-wall and overlap fermions. We conclude that both formulations are valid only well outside the Aoki phase of the associated Wilson-operator kernel, because this is where locality and chirality can be both maintained.
arXiv commentLattice2003(plenary), 7 pages
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Cited by in corpus (11)
- Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
- Gap Domain Wall Fermions
- Localization properties of lattice fermions with plaquette and improved gauge actions
- Mobility edge in lattice QCD
- Rooted staggered fermions: good, bad or ugly?
- Lattice QCD at the end of 2003
- Before sailing on a domain-wall sea
- Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
- Is there an Aoki phase in quenched QCD?
- Localization of lattice fermions: lessons for overlap
- On the phase diagram of quenched QCD with Wilson fermions