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Cho-Faddeev-Niemi decomposition of lattice Yang-Mills theory and evidence of a novel magnetic condensation

Akihiro Shibata·Kei-Ichi Kondo·Seikou Kato·Takeharu Murakami·Toru Shinohara
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Abstract

We present the first implementation of the Cho--Faddeev--Niemi ecomposition of the SU(2) Yang-Mills field on a lattice. Our construction retains the color symmetry (global SU(2) gauge invariance) even after a new type of Maximally Abelian gauge, as explicitly demonstrated by numerical simulations.

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Akihiro Shibata, Kei-Ichi Kondo, Seikou Kato, Takeharu Murakami, Toru Shinohara. 2005-10-05. Cho-Faddeev-Niemi decomposition of lattice Yang-Mills theory and evidence of a novel magnetic condensation. https://arxiv.org/abs/hep-lat/0510027

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