Vortex Solutions in the Abelian Higgs Model with a Neutral Scalar

Adhikari, Prabal (St. Olaf College, 1520 St. Olaf Avenue, Northfield, MN 55057, USA) ; Choi, Jaehong (St. Olaf College, 1520 St. Olaf Avenue, Northfield, MN 55057, USA)

15 March 2017

Abstract: We construct an extension of the Abelian Higgs model, which consists of a complex scalar field by including an additional real, electromagnetically neutral scalar field. We couple this real scalar field to the complex scalar field via a quartic coupling and investigate U(1) vortex solutions in this ``extended Abelian Higgs model''. Since this model has two additional homogeneous ground states, the U(1) vortices that can form in this model have a richer structure than in the Abelian Higgs model. We also find the ``phase diagram'' of the model showing the parameter space in which the real scalar particle condenses in the vortex state while having a zero vacuum expectation value in the homogeneous ground state.


Published in: Acta Physica Polonica B 48 (2017) 145-161
Published by: Jagiellonian University
DOI: 10.5506/APhysPolB.48.145
arXiv: 1703.00961
License: CC-BY-4.0



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