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Numerical evidence for the existence of a novel magnetic condensation in Yang-Mills theory

S. Kato·K. -I. Kondo·T. Murakami·A. Shibata·T. Shinohara
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Abstract

We present a first numerical evidence for the existence of a novel magnetic condensate proposed recently by one of the authors in SU(2) Yang-Mills theory. In our framework, the spontaneously generated color magnetic field identified with the Savvidy vacuum has the microscopic origin and is a consequence of the intrinsic dynamics of the Yang-Mills theory. It strongly suggests the Nielsen--Olesen instability of the Savvidy vacuum disappears and the stability is restored without the need of the Copenhagen vacuum. The implications to the Faddeev-Skyrme model are also discussed. These results are obtained through the first implementation of the Cho--Faddeev--Niemi decomposition of the Yang-Mills field on a lattice.

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S. Kato, K. -I. Kondo, T. Murakami, A. Shibata, T. Shinohara. 2005-06-06. Numerical evidence for the existence of a novel magnetic condensation in Yang-Mills theory. https://arxiv.org/abs/hep-ph/0504054

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