Chirally improving Wilson fermions

By R. Frezzotti, G. Rossi. 2003

237 citations recorded by the source corpus.

Abstract It is possible to improve the chiral behaviour and the approach to the continuum limit of correlation functions in lattice QCD with standard and twisted Wilson fermions by taking arithmetic averages of correlators computed in theories regularized with Wilson terms of opposite sign. To avoid the problem of the spurious zero-modes of the Wilson-Dirac operator, twisted-mass lattice QCD should be used for the actual computation of the correlators taking part in the averages. A particularly useful choice for the twisting angle is ±π 2 where many physical quantities (e.g. masses and zero-momentum matrix elements) are automatically improved with no need of averaging.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/70c308dccf90167ce8fae35e1c024aff9a1f76ea

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In Nuclear and High Energy Physics

1. Rainer Sommer
2. V. Lubicz
3. S. Simula
4. P. Dimopoulos
5. C. Tarantino
6. N. Carrasco
7. R. Frezzotti
8. G. Rossi

Citations in the corpus

• Light hadrons from lattice QCD with light (u, d), strange and charm dynamical quarks (2010, background): “Notice however that the positivity of the determinant is guaranteed for μ(2)σ > μ 2 δ [33, 34].”
• ΔS=2 and ΔC=2 bag parameters in the standard model and beyond from N$_f$=2+1+1 twisted-mass lattice QCD (2015, methodology): “om the Green’s functions entering the RI-MOM computation the perturbative cutoff effects up to order O(a2g2) (see Refs [74,75]). As it has been stated above, following the general proof given in Ref. [54], which in the Appendix A.2 of Ref. [65] has been exemplified for the case of quark bilinear RCs ”
• Lattice calculation of parton distributions (2015, unknown): “lattice, namely twisted mass fermions at maximal twist [8],”
• Review of lattice results concerning low-energy particle physics (2010, methodology): “Another attractive feature of twisted mass lattice QCD is the fact that the leading lattice artifacts are of order a2 without the need to add the Sheikholeslami-Wohlert term [53].”
• FLAG Review 2019 (2019, background): “A second attractive feature of twisted-mass lattice QCD is the fact that, once the bare mass parameter m0 is tuned to its “critical value” (corresponding to massless pions in the standard Wilson formulation), the leading lattice artifacts are of order a2 without the need to add the Sheikholeslami-Wo”
• Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions (2022, methodology): “In the sea and valence quark action sectors the critical Wilson-clover term, which includes the critical mass counterterm ∝ mcr ∼ 1/a, is taken at maximal twist with respect to the soft quark mass terms in order to guarantee automatic O(a)-improvement of the physical observables [66, 72] and mcr is ”
• Light meson physics from maximally twisted mass lattice QCD (2009, methodology): “fermionic action for two flavours of twisted, mass degenerate quarks in the so called twisted basis [11, 12 ] reads”
• Review of lattice results concerning low-energy particle physics (2016, background): “A second attractive feature of twisted-mass lattice QCD is the fact that, once the bare mass parameter m0 is tuned to its “critical value” (corresponding to massless pions in the standard Wilson formulation), the leading lattice artifacts are of order a2 without the need to add the Sheikholeslami-Wo”