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

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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15 pages, corrected typos, added 1 reference, minor changes in text

Scientific paper

10.1103/PhysRevD.71.034503

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 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.

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