Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-09-09
Physics
High Energy Physics
High Energy Physics - Lattice
Lattice2003(plenary), 7 pages
Scientific paper
10.1016/S0920-5632(03)02516-7
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.
Golterman Maarten
Shamir Yigal
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