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arxiv: 0906.1340 · v1 · pith:YM6D2WMOnew · submitted 2009-06-07 · ✦ hep-lat · hep-ph

Nonlocal field correlators on the lattice in HP¹ sigma-model

classification ✦ hep-lat hep-ph
keywords correlatorsfieldlambdalatticesigma-modelagreementbeenbilocal
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Connected two-point field strength correlators have been measured on the lattice in quaternionic projective sigma-model of pure SU(2) Yang-Mills theory. The correlation lengths, extracted from the exponential fit for these correlators, are found to be lambda_1^{-1} = 1.40(3) GeV and lambda^{-1} = 1.51(3) GeV in good agreement with other existing calculations. The dependence of bilocal functions on the connector shape was studied.

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