Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-01-19
Phys.Rev. D71 (2005) 094503
Physics
High Energy Physics
High Energy Physics - Lattice
31 pages, a few minor corrections
Scientific paper
10.1103/PhysRevD.71.094503
We discuss the symmetries of quenched QCD with Wilson fermions, starting from its lagrangian formulation, taking into account the constraints needed for convergence of the ghost-quark functional integral. We construct the corresponding chiral effective lagrangian, including terms linear and quadratic in the lattice spacing. This allows us to study the phase structure of the quenched theory, and compare it to that in the unquenched theory. In particular we study whether there may be an Aoki phase (with parity and flavor spontaneously broken) or a first order transition line (with no symmetry breaking but meson masses proportional to the lattice spacing), which are the two possibilities in the unquenched theory. The presence of such phase structure, and the concomitant long-range correlations, has important implications for numerical studies using both quenched and dynamical overlap and domain-wall fermions. We argue that the phase structure is qualitatively the same as in the unquenched theory, with the choice between the two possibilities depending on the sign of a parameter in the low-energy effective theory.
Robert Singleton Jr.
Golterman Maarten
Sharpe Stephen
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