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Chiral symmetry and O(a) improvement in lattice QCD
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The dominant cutoff effects in lattice QCD with Wilson quarks are proportional to the lattice spacing a. In particular, the isovector axial current satisfies the PCAC relation only up to such effects. Following a suggestion of Symanzik, they can be cancelled by adding local O(a) correction terms to the action and the axial current. We here address a number of theoretical issues in connection with the O(a) improvement of lattice QCD and then show that chiral symmetry can be used to fix the coefficients multiplying the correction terms.
Forward citations
Cited by 6 Pith papers
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$\mathrm{O}(a)$ improvement of the flavour singlet scalar density in a setup with Wilson fermions
A Ward identity analysis provides the first non-perturbative estimates of the O(a) improvement coefficient g_S for the flavour singlet scalar density in three-flavour QCD.
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Diagonal Kenney-Laub Rational Approximation to the Overlap Operator using Wilson and Brillouin Kernel
Diagonal Kenney-Laub rational approximation to the overlap operator using Wilson and Brillouin kernels shows enhanced chiral symmetry preservation and efficiency over Chebyshev polynomials on quenched lattices.
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Precision renormalisation and improvement of $N_{\rm f}=3$ lattice QCD with Wilson fermions
New non-perturbative renormalization and improvement results for currents and masses in Nf=3 O(a)-improved Wilson QCD at small a using Schrödinger functional boundary conditions and gradient flow tuning.
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Gradient flow for parton distribution functions: first application to the pion
Pion PDF moment ratios up to <x^5> were extracted from lattice QCD with gradient flow and agree with phenomenological fits.
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The QCD energy-momentum tensor on the lattice: non-perturbative renormalization with $N_f=3$
Non-perturbative renormalization constants for gluonic and fermionic components of the traceless energy-momentum tensor in Nf=3 lattice QCD are computed to few-percent accuracy using discretized Ward identities with s...
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Pion condensation at non-zero isospin chemical potential with Wilson fermions
Using Wilson fermions on the lattice, the onset of pion condensation is observed at an isospin chemical potential slightly below m_pi/2, consistent with earlier staggered-fermion results.
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