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Phys. Rev. Lett. 94, 032003 (2005) [4 pages]

Topological Susceptibility in SU(3) Gauge Theory

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Luigi Del Debbio1, Leonardo Giusti2, and Claudio Pica3
1Department of Physics, TH Division, CERN, CH-1211 Geneva 23, Switzerland
2Centre de Physique Théorique, Case 907, CNRS Luminy, F-13288 Marseille Cedex 9, France
3Dipartimento di Fisica dell'Università di Pisa and INFN, Via Buonarroti 2, I-56127 Pisa, Italy

Received 14 July 2004; published 26 January 2005

We compute the topological susceptibility for the SU(3) Yang-Mills theory by employing the expression of the topological charge density operator suggested by Neuberger's fermions. In the continuum limit we find r04χ=0.059(3), which corresponds to χ=(191±5  MeV)4 if FK is used to set the scale. Our result supports the Witten-Veneziano explanation for the large mass of the η.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.032003
DOI:
10.1103/PhysRevLett.94.032003
PACS:
11.15.Ha, 11.10.Gh, 11.30.Rd, 12.38.Gc