Cosmic Strings on the Lattice

Details Cosmic Strings on the Lattice Cosmic Strings on the Lattice

1992-12-18

arxiv.org/abs/hep-lat/9212023v1

Nucl.Phys.Proc.Suppl. 30 (1993) 723-726

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages LaTex (espcrc2.sty), LATTICE'92 contribution, ITEP(1992)

Scientific paper

10.1016/0920-5632(93)90311-S

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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