Nonlocal field correlators on the lattice in HP^1 sigma-model

TL;DR

This paper measures nonlocal field strength correlators on the lattice within the HP^1 sigma-model, providing new insights into the correlation lengths in SU(2) Yang-Mills theory and examining connector shape effects.

Contribution

It introduces lattice measurements of two-point field strength correlators in the quaternionic projective sigma-model, revealing correlation lengths consistent with previous studies and analyzing connector shape dependence.

Findings

Correlation lengths are approximately 1.4-1.5 GeV^{-1}.

Good agreement with existing calculations of correlator decay.

Connector shape influences bilocal function behavior.

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 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.