Quantum Nucleation of Vortex String Loops

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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phyzzx.tex, 13 pages: A correction to the final state of the nucleation of local vortex strings

Scientific paper

10.1103/PhysRevD.52.6050

We investigate quantum nucleation of vortex string loops in the relativistic quantum field theory of a complex scalar field by using the Euclidean path integral. Our initial metastable homogeneous field dominated by the $O(3)$ symmetric bounce solution. The nucleation rate and the critical vortex loop size are obtained approximately. Gradually the initial current will be reduced to zero as the induced current inside vortex loops is opposite to the initial current. We also discuss a similar process in Maxwell-Higgs systems and possible physical implications.

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