Abelian Higgs Model Effective Potential in the Presence of Vortices

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages. Revised version (to appear in the Physical Review D). New references added

Scientific paper

10.1103/PhysRevD.72.103524

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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