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Testing the Witten-Veneziano Formula on the Lattice

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 $N_f=2+1+1$ dynamical Wilson twisted mass fermions. Taking the continuum and the $SU(2)$ chiral limits we find good agreement within uncertainties for both sides of the formula.

preprint2015arXivOpen access
Krzysztof CichyElena Garcia-RamosKarl JansenKonstantin OttnadCarsten Urbach
hep-lat
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Krzysztof CichyElena Garcia-RamosKarl JansenKonstantin OttnadCarsten Urbach

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