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arXiv · hep-lat/9212023

Cosmic Strings on the Lattice

A. K. Bukenov·A. V. Pochinsky·M. I. Polikarpov·L. Polley·U. -J. Wiese
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Abstract

We develop a formalism for the quantization of topologically stable excitations in the 4-dimensional abelian lattice gauge theory. The excitations are global and local (Abrikosov-Nielsen-Olesen) strings and monopoles. The operators of creation and annihilation of string states are constructed; the string Green functions are represented as a path integral over random surfaces. Topological excitations play an important role in the early universe. In the broken symmetry phase of the $U(1)$ spin model, closed global cosmic strings arise, while in the Higgs phase of the noncompact gauge-Higgs model, local cosmic strings are present. The compact gauge-Higgs model also involves monopoles. Then the strings can break if their ends are capped by monopoles. The topology of the Euclidean string world sheets are studied by numerical simulations.

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A. K. Bukenov, A. V. Pochinsky, M. I. Polikarpov, L. Polley, U. -J. Wiese. 1992-12-18. Cosmic Strings on the Lattice. https://doi.org/10.1016/0920-5632(93)90311-s

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