Matter Fields in the Lagrangian Loop Representation: Scalar QED

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, LaTex

Scientific paper

10.1016/0370-2693(95)01361-X

We present the extension of the Lagrangian loop gauge invariant representation in such a way to include matter fields. The partition function of lattice compact U(1)-Higgs model is expressed as a sum over closed as much as open surfaces. We have simulated numerically the loop action equivalent to the Villain form of the action and mapped out the beta-gamma phase diagram of this model.

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