Short distance singularities and automatic O($a$) improvement: the cases of the chiral condensate and the topological susceptibility

Abstract

Short-distance singularities in lattice correlators can modify their Symanzik expansion by leading to additional O($a$) lattice artifacts. At the example of the chiral condensate and the topological susceptibility, we show how to account for these lattice artifacts for Wilson twisted mass fermions and show that the property of automatic O($a$) improvement is preserved at maximal twist.

arXiv comment12 pages, corrected proof for topological susceptibility, version published in JHEP

References in corpus (14)

• Chiral symmetry and O(a) improvement in lattice QCD
• Chirally improving Wilson fermions - I. O(a) improvement
• Twisted-mass lattice QCD with mass non-degenerate quarks
• Twisted mass lattice QCD
• Chiral symmetry breaking and the Banks--Casher relation in lattice QCD with Wilson quarks
• Topological effects in QCD and the problem of short-distance singularities
• Universality of the topological susceptibility in the SU(3) gauge theory
• O(a) improved twisted mass lattice QCD
• Four-Flavour Leading-Order Hadronic Contribution To The Muon Anomalous Magnetic Moment
• Chiral condensate from the twisted mass Dirac operator spectrum
• Chiral symmetry breaking in QCD Lite
• Chiral Ward identities, automatic O(a) improvement and the gradient flow
• Topological susceptibility from the twisted mass Dirac operator spectrum
• The hadronic vacuum polarization and automatic O(a) improvement for twisted mass fermions

Cited by in corpus (4)

• Non-perturbative Test of the Witten-Veneziano Formula from Lattice QCD
• Topological susceptibility from twisted mass fermions using spectral projectors and the gradient flow
• Instanton liquid properties from lattice QCD
• Localisation of Dirac modes in gauge theories and Goldstone's theorem at finite temperature