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Abelian Higgs Model Effective Potential in the Presence of Vortices

Rudnei O. Ramos·J. F. Medeiros Neto·Daniel G. Barci·Cesar A. Linhares
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Abstract

We determine the contribution of nontrivial vacuum (topological) excitations, more specifically vortex--strings of the Abelian Higgs model in 3+1 dimensions, to the functional partition function. By expressing the original action in terms of dual transformed fields we make explicit in the equivalent action the contribution of the vortex--strings excitations of the model. The effective potential of an appropriately defined local vacuum expectation value of the vortex--string field in the dual transformed action is then evaluated both at zero and finite temperatures and its properties discussed in the context of the finite temperature phase transition.

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Rudnei O. Ramos, J. F. Medeiros Neto, Daniel G. Barci, Cesar A. Linhares. 2005-11-08. Abelian Higgs Model Effective Potential in the Presence of Vortices. https://doi.org/10.1103/physrevd.72.103524

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