The Lagrangian Loop Representation of Lattice U(1) Gauge Theory

Details The Lagrangian Loop Representation of Lattice U(1) Gauge Theory The Lagrangian Loop Representation of Lattice U(1) Gauge Theory

1994-07-26

arxiv.org/abs/hep-th/9407170v1

Phys.Lett.B336:54-61,1994

Physics

High Energy Physics

High Energy Physics - Theory

13 pp, UAB-FT-341/94

Scientific paper

10.1016/0370-2693(94)00981-3

It is showed how the Hamiltonian lattice $loop$ $representation$ can be cast straightforwardly in the Lagrangian formalism. The procedure is general and here we present the simplest case: pure compact QED. This connection has been shaded by the non canonical character of the algebra of the fundamental loop operators. The loops represent tubes of electric flux and can be considered the dual objects to the Nielsen-Olesen strings supported by the Higgs broken phase. The lattice loop classical action corresponding to the Villain form is proportional to the quadratic area of the loop world sheets and thus it is similar to the Nambu string action. This loop action is used in a Monte Carlo simulation and its appealing features are discussed.

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