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arXiv · hep-th/0106102

Twisted Vortices in a Gauge Field Theory

M. Lübcke·S. M. Nasir·A. Niemi·K. Torokoff
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Abstract

We inspect a particular gauge field theory model that describes the properties of a variety of physical systems, including a charge neutral two-component plasma, a Gross-Pitaevskii functional of two charged Cooper pair condensates, and a limiting case of the bosonic sector in the Salam-Weinberg model. It has been argued that this field theory model also admits stable knot-like solitons. Here we produce numerical evidence in support for the existence of these solitons, by considering stable axis-symmetric solutions that can be thought of as straight twisted vortex lines clamped at the two ends. We compute the energy of these solutions as a function of the amount of twist per unit length. The result can be described in terms of a energy spectral function. We find that this spectral function acquires a minimum which corresponds to a nontrivial twist per unit length, strongly suggesting that the model indeed supports stable toroidal solitons.

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M. Lübcke, S. M. Nasir, A. Niemi, K. Torokoff. 2001-11-08. Twisted Vortices in a Gauge Field Theory. https://doi.org/10.1016/s0370-2693(02)01655-6

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