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A lattice study of the Faddeev-Niemi effective action

L. Dittmann·T. Heinzl·A. Wipf
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Abstract

We perform a lattice analysis of the Faddeev-Niemi effective action conjectured to describe the low energy sector of SU(2) Yang-Mills theory. We generalize the effective action such that it contains all operators built from a unit color vector field n with O(3)-symmetry and maximally four derivatives. To avoid the presence of Goldstone bosons, we include explicit symmetry breaking terms parametrized by an external field h of mass-dimension two. We find a mass gap of the order of 1.5 GeV.

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L. Dittmann, T. Heinzl, A. Wipf. 2001-10-09. A lattice study of the Faddeev-Niemi effective action. https://doi.org/10.1016/s0920-5632(01)01804-7

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