# Analyticity in theta on the lattice and the large volume limit of the topological susceptibility

Alles, B. and D'Elia, M. and Giacomo, A. Di (2005) Analyticity in theta on the lattice and the large volume limit of the topological susceptibility. Physical review. D, Particles, fields, gravitation, and cosmology, 71 . 034503. ISSN 1550-7998

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## Abstract

Non-analyticity of QCD with a \theta term at \theta=0 may signal a spontaneous breaking of both parity and time reversal invariance. We address this issue by investigating the large volume limit of the topological susceptibility $\chi$ in pure SU(3) gauge theory. We obtain an upper bound for the symmetry breaking order parameter <Q> and, as a byproduct, the value \chi=(173.4(+/- 0.5)(+/- 1.2)(+1.1 / -0.2) MeV)^4 at \beta=6 (a approx= 0.1 fermi). The errors are the statistical error from our data, the one derived from the value used for \Lambda_L and an estimate of the systematic error respectively.

Item Type: Article Imported from arXiv Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA dott.ssa Sandra Faita 29 Jan 2014 21:50 29 Jan 2014 21:50 http://eprints.adm.unipi.it/id/eprint/1529

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