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. To this end we generate an ensemble of unit color vectors n from the Wilson action. The construction is such that the ensemble does not show long-range order but exhibits a mass gap of the order of 1 GeV. A study of exact lattice Schwinger-Dyson and Ward identities indicates that the generated ensemble cannot be described by the Faddeev-Niemi effective action or simple generalizations thereof.
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Dittmann, L., Heinzl, T., Wipf, A. (2002). An Effective Theory for the SU(2) Mass Gap?. In: Greensite, J., Olejník, Š. (eds) Confinement, Topology, and Other Non-Perturbative Aspects of QCD. NATO Science Series, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0502-9_9
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DOI: https://doi.org/10.1007/978-94-010-0502-9_9
Publisher Name: Springer, Dordrecht
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