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Lattice QCD at maximal twist

2005/11/16 by R. Frezzotti, G. C. Rossi, G.C. Rossi
Physics and Astronomy · #Cutoff #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Mass matrix #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quark #Regularization (linguistics) #Twist #hep-lat

paper · pdf · doi:10.1016/j.nuclphysbps.2006.01.039

published as Nucl.Phys.Proc.Suppl. 153 (2006) 250-263 · 14 pages, no figures, contribution presented by G.C. Rossi at the Workshop on Computational Hadron Physics held in Cyprus, September 14-17, 2005

arxiv created 2005/11/16 · openalex publication_date 2006/02/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations