Universality of the topological susceptibility in the SU(3) gauge theory

Abstract

The definition and computation of the topological susceptibility in non-abelian gauge theories is complicated by the presence of non-integrable short-distance singularities. Recently, alternative representations of the susceptibility were discovered, which are singularity-free and do not require renormalization. Such an expression is here studied quantitatively, using the lattice formulation of the SU(3) gauge theory and numerical simulations. The results confirm the expected scaling of the susceptibility with respect to the lattice spacing and they also agree, within errors, with computations of the susceptibility based on the use of a chiral lattice Dirac operator.

Plain TeX source, 14 pages, 1 figure; v3: further typos corrected, version published in JHEP

References in corpus (3)

• Properties and uses of the Wilson flow in lattice QCD
• Chiral symmetry breaking and the Banks--Casher relation in lattice QCD with Wilson quarks
• Local coherence and deflation of the low quark modes in lattice QCD

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