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

@article{Lscher2010UniversalityOT,
  title={Universality of the topological susceptibility in the SU(3) gauge theory},
  author={Martin L{\"u}scher and Filippo Palombi},
  journal={Journal of High Energy Physics},
  year={2010},
  volume={2010},
  pages={1-12}
}
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… 
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References

SHOWING 1-10 OF 36 REFERENCES
Topological susceptibility in SU(3) gauge theory.
TLDR
The topological susceptibility for the SU(3) Yang-Mills theory is computed by employing the expression of the topological charge density operator suggested by Neuberger's fermions and supports the Witten-Veneziano explanation for the large mass of the eta('.
Properties and uses of the Wilson flow in lattice QCD
: Theoretical and numerical studies of the Wilson flow in lattice QCD suggest that the gauge field obtained at flow time t > 0 is a smooth renormalized field. The expectation values of local
O(a) improved twisted mass lattice QCD
Lattice QCD with Wilson quarks and a chirally twisted mass term (tmQCD) has been introduced in refs. [1, 2]. We here apply Symanzik's improvement programme to this theory and list the counterterms
Local coherence and deflation of the low quark modes in lattice QCD
: The spontaneous breaking of chiral symmetry in QCD is known to be linked to a non-zero density of eigenvalues of the massless Dirac operator near the origin. Numerical studies of two-flavour QCD now
Chiral symmetry breaking and the Banks-Casher relation in lattice QCD with Wilson quarks
The Banks-Casher relation links the spontaneous breaking of chiral symmetry in QCD to the presence of a non-zero density of quark modes at the low end of the spectrum of the Dirac operator. Spectral
...
...