Nonanalyticity 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 by-product, the value chi = [173.4 (+-0.5)(+-1.2)(+1.1-0.2) MeV]^4 at beta = 6 (a = 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.
Analyticity in theta on the lattice and the large volume limit of the topological susceptibility
D'ELIA, MASSIMO;DI GIACOMO, ADRIANO
2005-01-01
Abstract
Nonanalyticity 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 parameterand, as a by-product, the value chi = [173.4 (+-0.5)(+-1.2)(+1.1-0.2) MeV]^4 at beta = 6 (a = 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.
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