Twisted-mass lattice QCD with mass non-degenerate quarks

Details Twisted-mass lattice QCD with mass non-degenerate quarks Twisted-mass lattice QCD with mass non-degenerate quarks

2003-11-07

arxiv.org/abs/hep-lat/0311008v2

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages (due to different LateX style), Latex file, based on a talk presented by G.C. Rossi at LHP2003 - Cairns. Reasons for

Scientific paper

10.1016/S0920-5632(03)02477-0

The maximally twisted lattice QCD action of an $SU_f(2)$ doublet of mass degenerate Wilson quarks gives rise to a real positive fermion determinant and it is invariant under the product of standard parity times the change of sign of the coefficient of the Wilson term. The existence of this spurionic symmetry implies that O($a$) improvement is either automatic or achieved through simple linear combinations of quantities taken with opposite external three-momenta. We show that in the case of maximal twist all these nice results can be extended to the more interesting case of a mass non-degenerate quark pair.

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