English

Testing the Witten-Veneziano Formula on the Lattice

High Energy Physics - Lattice 2015-11-04 v1

Abstract

In this proceeding contribution we report on a test of the famous Witten-Veneziano formula using lattice techniques. We perform dedicated quenched simulations and apply the spectral projector method to determine the topological susceptibility in pure Yang-Mills theory. In order to compute the relevant meson masses and the flavor singlet decay constant we employ lattice QCD with Nf=2+1+1N_f=2+1+1 dynamical Wilson twisted mass fermions. Taking the continuum and the SU(2)SU(2) chiral limits we find good agreement within uncertainties for both sides of the formula.

Keywords

Cite

@article{arxiv.1511.00970,
  title  = {Testing the Witten-Veneziano Formula on the Lattice},
  author = {Krzysztof Cichy and Elena Garcia-Ramos and Karl Jansen and Konstantin Ottnad and Carsten Urbach},
  journal= {arXiv preprint arXiv:1511.00970},
  year   = {2015}
}

Comments

7 pages, 4 figures, presented at the 33rd International Symposium on Lattice Field Theory, 14 -18 July 2015, Kobe International Conference Center, Kobe, Japan