Chirally improving Wilson fermions 1. O(a) improvement
By R. Frezzotti, G. Rossi. 2003
420 citations recorded by the source corpus.
We show that it is possible to improve the chiral behaviour and the approach to the continuum limit of correlation functions in lattice QCD with Wilson fermions by taking arithmetic averages of correlators computed in theories regularized with Wilson terms of opposite sign. Improved hadronic masses and matrix elements can be obtained by similarly averaging the corresponding physical quantities separately computed within the two regularizations. To deal with the problems related to the spectrum of the Wilson-Dirac operator, which are particularly worrisome when Wilson and mass terms are such as to give contributions of opposite sign to the real part of the eigenvalues, we propose to use twisted-mass lattice QCD for the actual computation of the quantities taking part to the averages. The choice ??/2 for the twisting angle is particularly interesting, as O(a) improved estimates of physical quantities can be obtained even without averaging data from lattice formulations with opposite Wilson terms. In all cases little or no extra computing power is necessary, compared to simulations with standard Wilson fermions or twisted-mass lattice QCD.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/fd65e96c4e94d4862b94ceff99288d1d39462542
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In Nuclear and High Energy Physics
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- S. Gottlieb
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Citations in the corpus
- Lattice calculation of parton distributions (2015, methodology): “Here, we will use a different quark discretization on the lattice, namely twisted mass fermions at maximal twist [8], to conduct an exploratory study of the proposal in Ref.”
- Nonperturbative QCD Simulations with 2+1 Flavors of Improved Staggered Quarks (2009, methodology): “An added benefit of the twisted-mass (Wilson) fermion formulation is, tha at maximal twist tanα = µ/m, the twisted-mass Wilson Dirac operator is automaticallyO (a2) improved (Frezzotti and Rossi, 2004).”
- Light Hadron Masses from Lattice QCD (2012, background): “This implies that at maximal twist on the one hand there are isospin breaking cutoff effects (Bar, 2010; Scorzato, 2004) while on the other hand the cutoff terms are generally of O(a2) (Aoki and Bar, 2004; Frezzotti and Rossi, 2004a).”