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

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

2005-04-07

arxiv.org/abs/hep-ph/0504054v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

2+36 pages, 13 figures; no change of conclusion, Introduction and Sec. 3.1.2 are improved, Sec. 4.8 is added, Discussion is su

Scientific paper

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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