### Abstract

A simple Abelian model with both Higgs and gauge field degrees of freedom is investigated on a simplicial lattice of arbitrary dimension. We use group character expansion for both fields to get a diagrammatic expansion of the partition function. The diagrams consist of gauge group representation valued 1- and 2-chains. The diagrams are proved to satisfy the constraint that the boundary of the 2-chain representing the gauge field is equal to the 1-chain representing the Higgs field. Otherwise they identically vanish. Simple consequences of this are current conservation and the vanishing of non-null-homologous Wilson loops. Finally we use this picture for giving a lowest order estimate for the critical length of a string. This is the length at which the flux-tube string connecting two opposite charges is likely to break into two pieces due to pair creation.

Original language | English |
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Pages (from-to) | 273-283 |

Number of pages | 11 |

Journal | Acta Physica Hungarica New Series Heavy Ion Physics |

Volume | 1 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - Jun 1 1995 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy(all)

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## Cite this

*Acta Physica Hungarica New Series Heavy Ion Physics*,

*1*(3-4), 273-283. https://doi.org/10.1007/BF03053747