Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2004-07-05
JHEP 0409:035,2004
Physics
High Energy Physics
High Energy Physics - Lattice
10 pages, 6 Postscript figures, LaTeX2e
Scientific paper
10.1088/1126-6708/2004/09/035
The introduction of a chirally twisted mass term has been proposed as an attractive approach to O(a) improvement of Quantum Chromodynamics with Wilson fermions on a lattice. For numerical simulation projects it is important to know the phase structure of the theory in the region of small quark masses. We study this question in the framework of chiral perturbation theory. Generalizing the analysis of Sharpe and Singleton we find extensions of normal and Aoki phase scenarios and a possible new phase with spontaneous breakdown of chiral symmetry to a discrete $Z_2$.
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