Lattice QCD at maximal twist

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.

14 pages, no figures, contribution presented by G.C. Rossi at the Workshop on Computational Hadron Physics held in Cyprus, September 14-17, 2005

References in corpus (26)

• Chirally improving Wilson fermions - I. O(a) improvement
• Finite-Volume Effects for Two-Hadron States in Moving Frames
• Weak transition matrix elements from finite-volume correlation functions
• Spontaneous Flavor and Parity Breaking with Wilson Fermions
• Chirally improving Wilson fermions II. Four-quark operators
• Twisted-mass lattice QCD with mass non-degenerate quarks
• Partially quenched chiral perturbation theory without ${\Phi }_0$
• $K\to \pi \pi$ Decays in a Finite Volume
• Twisted mass chiral perturbation theory at next-to-leading order
• Non-Perturbative Renormalization of Lattice Four-Fermion Operators without Power Subtractions
• The phase diagram of twisted mass lattice QCD
• Pion mass splitting and phase structure in Twisted Mass QCD
• O(a) improved twisted mass lattice QCD
• The Delta I = 1/2 Rule and B_K at O(p^4) in the Chiral Expansion
• On the phase structure of twisted mass lattice QCD
• Twisted-mass QCD, O(a) improvement and Wilson chiral perturbation theory
• The phase structure of lattice QCD with two flavours of Wilson quarks and renormalization group improved gluons
• Twisted mass quarks and the phase structure of lattice QCD
• Non-perturbative improvement of composite operators with Wilson fermions
• Twisted mass QCD and lattice approaches to the $\Delta I=1/2$ rule
• Spectrum of quenched twisted mass lattice QCD at maximal twist
• Light quarks with twisted mass fermions
• Correlators of left charges and weak operators in finite volume chiral perturbation theory
• Going chiral: overlap versus twisted mass fermions
• Wilson fermions with chirally twisted mass
• Quenched twisted mass QCD at small quark masses and in large volume

Cited by in corpus (1)

• Light baryon masses with dynamical twisted mass fermions