A center vortex representaton of the classical SU(2) vacuum

P. Olesen

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arXiv · 1605.00603

A center vortex representaton of the classical SU(2) vacuum

P. Olesen

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Abstract

The classical massless SU(2) field theory has an infinite number of gauge equivalent representations of the vacuum. We show that among these there exists a non-perturbative center vortex representation with some similarity to the quantum vacuum of the same theory. This classical SU(2) vacuum consists of a lattice of center vortex pairs combining to triviality. However, this triviality can be broken by perturbations, for example by adding a mass term, or by considering the electroweak theory where the Higgs field does the breaking, or by quantum fluctuations like in QCD.

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P. Olesen. 2016-05-02. A center vortex representaton of the classical SU(2) vacuum. https://arxiv.org/abs/1605.00603

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