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arXiv · hep-ph/0401076

Skyrmion formation in 1+1 dimensions with chemical potential

V. Sunil Kumar·Biswanath Layek·Soma Sanyal·Ajit M. Srivastava·Vivek K. Tiwari
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Abstract

Formation of topological objects during phase transitions has been discussed extensively in literature. In all these discussions defects and anti-defects form with equal probabilities. In contrast, many physical situations, such as formation of baryons in relativistic heavy-ion collisions at present energies, flux tube formation in superconductors in the presence of external magnetic field, and formation of superfluid vortices in a rotating vessel, require a mechanism which can bias (say) defects over anti-defects. Such a bias can crucially affect defect-anti-defect correlations, apart from its effects on defect density. In this paper we initiate an investigation for the basic mechanism of biased formation of defects. For Skyrmions in 1+1 dimensions, we show that incorporation of a chemical potential term in the effective potential leads to a domain structure where order parameter is spatially varying. We show that this leads to biased formation of Skyrmions.

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V. Sunil Kumar, Biswanath Layek, Soma Sanyal, Ajit M. Srivastava, Vivek K. Tiwari. 2004-12-10. Skyrmion formation in 1+1 dimensions with chemical potential. https://doi.org/10.1142/s0217751x06029508

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