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 releva...

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Bibliographic Details
Published in:arXiv.org 2015-11
Main Authors: Cichy, Krzysztof, Garcia-Ramos, Elena, Jansen, Karl, Ottnad, Konstantin, Urbach, Carsten
Format: Article
Language:English
Subjects:
Computer simulation
Fermions
Flavor (particle physics)
Quantum chromodynamics
Yang-Mills theory
Online Access:Get full text
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Summary: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.
ISSN:2331-8422