Nonlocal field correlators on the lattice in HP1 sigma-model

Abstract

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 lambda1-1 = 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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