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On the connetion between Euclidean and Hamiltonian lattice field theories of vortices and anyons

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Zeitschrift für Physik C Particles and Fields

Abstract

In the (2+1)-dimensional non-compact Abelian lattice Higgs model Euclidean correlation functions of vortices and, after adding the Chern-Simons term to the action, correlation functions of transmuted matter fields (anyons) are set up. These correlation functions satisfy Osterwalder-Schrader positivity. Via the transition to continuous Euclidean time, vortex and anyon operators within a Hamiltonian lattice formulation are obtained, respectively, and their respective dual algebras are displayed.

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  1. Fachbereich Physik, Universität Kaiserslautern, W-6750, Kaiserslautern, Federal Republic of Germany

    V. F. Müller

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  1. V. F. Müller
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Müller, V.F. On the connetion between Euclidean and Hamiltonian lattice field theories of vortices and anyons. Z. Phys. C - Particles and Fields 51, 665–674 (1991). https://doi.org/10.1007/BF01565594

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  • DOI: https://doi.org/10.1007/BF01565594

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