Matter Fields in the Loop Representation of the Partition Function

Details Matter Fields in the Loop Representation of the Partition Function Matter Fields in the Loop Representation of the Partition Function

1994-02-17

arxiv.org/abs/hep-th/9402103v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, UAB-FT329/94

Scientific paper

We present the extension of the Lagrangian $loop$ representation in such a way to introduce matter fields. The partition function of lattice compact U(1) Gauge-Higgs model is expressed as a sum over closed as much as open surfaces. These surfaces correspond to world sheets of loop-like pure electric flux excitations and open electric flux tubes carrying matter fields at their ends. There is a duality transformation between this description in terms of loop world sheets and the $topological$ representation in terms of world sheets of Nielsen-Olesen strings both closed and open joining pairs of monopoles.

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