Lattice QCD at maximal twist

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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14 pages, no figures, contribution presented by G.C. Rossi at the Workshop on Computational Hadron Physics held in Cyprus, Sep

Scientific paper

10.1016/j.nuclphysbps.2006.01.03

In this review we discuss the general features of maximally twisted lattice QCD. In particular, we illustrate how automatic O(a) improvement can be achieved and how it is possible to set up a lattice regularization scheme where the problem of wrong chirality mixing (be it finite or infinite) affecting the computation of the matrix elements of the CP-conserving effective weak Hamiltonian is neatly avoided, while having at the same time a positive determinant even for non-degenerate quark pairs. The question of reducing the large cutoff effects that appear when the quark mass tends to zero as a consequence of parity and iso-spin breaking in the action is also addressed. It is shown that such dangerous lattice artifacts are strongly suppressed if the clover term is added to the action or, alternatively, the critical mass is chosen so as to enforce the restoration of parity.

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