Matter Fields in the Loop Representation of the Partition Function

J. M. Aroca; H. Fort

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arXiv · hep-th/9402103

Matter Fields in the Loop Representation of the Partition Function

J. M. Aroca·H. Fort

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Abstract

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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J. M. Aroca, H. Fort. 1994-02-17. Matter Fields in the Loop Representation of the Partition Function. https://arxiv.org/abs/hep-th/9402103

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