Effective sigma models and lattice Ward identities

Details Effective sigma models and lattice Ward identities Effective sigma models and lattice Ward identities

2002-10-14

arxiv.org/abs/hep-lat/0210021v1

JHEP 0212 (2002) 014

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages, 17 figures, JHEP style

Scientific paper

10.1088/1126-6708/2002/12/014

We perform a lattice analysis of the Faddeev-Niemi effective action conjectured to describe the low-energy sector of SU(2) Yang-Mills theory. To this end we generate an ensemble of unit vector fields ("color spins") n from the Wilson action. The ensemble does not show long-range order but exhibits a mass gap of the order of 1 GeV. From the distribution of color spins we reconstruct approximate effective actions by means of exact lattice Schwinger-Dyson and Ward identities ("inverse Monte Carlo"). We show that the generated ensemble cannot be recovered from a Faddeev-Niemi action, modified in a minimal way by adding an explicit symmetry-breaking term to avoid the appearance of Goldstone modes.

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