Topological susceptibility in full QCD with Ginsparg–Wilson fermions

2004/02/23 by Leonardo Giusti, L. Giusti, Giancarlo Rossi +2 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-th

paper · pdf · doi:10.1016/j.physletb.2004.03.010

published as Phys.Lett. B587 (2004) 157-166 · 11 pages, no figures

arxiv created 2004/02/23 · openalex publication_date 2004/03/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03

Abstract

We show that, if the formula for the topological charge density operator suggested by the use of fermions obeying the Ginsparg–Wilson relation is employed, it is possible to give a precise and unambiguous definition of the topological susceptibility in full QCD, χ full t L , for finite quark masses on the lattice. The lattice expression of χ full t L looks like the formal continuum one, in the sense that no power divergent subtractions are needed for its proper definition. As a consequence, the small mass behaviour of χ full t L leads directly to a multiplicative renormalizable definition of the chiral condensate that does not require any power divergent subtraction.

Citations

• Chiral fermions on the lattice
• Infinitely many regulator fields for chiral fermions
• Anomalous Ward Identities in Spinor Field Theories
• Path integral for gauge theories with fermions

Cited by

• Inherently global nature of topological charge fluctuations in QCD
• Topology of SU(N) gauge theories at T≃0 and T≃Tc
• QCD with two dynamical flavors of chirally improved quarks
• Anomalies, gauge field topology, and the lattice
• Additive and multiplicative renormalization of topological charge with improved gluon and fermion actions: A test case for 3-loop vacuum calculations, using overlap or clover fermions