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Gauge theories on a small lattice

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Zeitschrift für Physik C Particles and Fields

Abstract

We present exact solutions to U(1), SU(2), and SU(3) lattice gauge theories on a Kogut-Susskind lattice consisting of a single plaquette. We demonstrate precise equivalence between the U(1) theory and the harmonic oscillator on an infinite one-dimensional lattice, and between the SU(N) theory and anN-fermion Schrödinger equation.

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Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, University of Liverpool, P.O. Box 147, L69 3BX, Liverpool, UK

    D. Robson & D. M. Webber

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  1. D. Robson
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  2. D. M. Webber
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Robson, D., Webber, D.M. Gauge theories on a small lattice. Z. Phys. C - Particles and Fields 7, 53–60 (1980). https://doi.org/10.1007/BF01577321

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  • DOI: https://doi.org/10.1007/BF01577321

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