Abstract
In two dimensional Higgs models on a lattice with Abelian or Nonabelian compact gauge group, fractional static charges are always confined.
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Wilson, K.: Phys. Rev. D10, 2445 (1974)
Israel, R. B., Nappi, C. R.: Quark confinement in the two dimensional lattice Higgs Villain model. Harvard preprint HUTMP-78/B56 (May 1978). See also: Einhorn, M., Savits, R.: Phys. Rev. D17, 2583 (1978); Phase transitions in the Abelian Higgs model. Fermilab-Pub-77/97-THY (Oct. 77)
See text books, e.g.: Želobenko, D. P.: Compact Lie groups and their representation. Providence, Rhode Island: AMS 1973
Osterwalder, K., Seiler, E.: Ann. Phys.110, 440 (1978)
Callan, C., Dashen, R., Gross, D. J.: Phys. Rev. D16, 2526 (1977) (reviewed in Ref. [7])
Mack, G.: Physical principles and geometric aspects of gauge theories. DESY-preprint (in preparation) (esp. Sect. 12)
Coleman, S.: The uses of instantons, Erice lectures 1977, and references to work of Polyakov, t'Hooft and others given there
Mack, G.: Colour screening and quark confinement. Phys. Lett. B78, 263 (1978)
Villain, J.: J. Phys. (Paris)36, 581 (1975)
Balian, B., Drouffe, J. M., Itzykson, C.: Phys. Rev. D10, 3376 (1974); D11, 2098 (1975)
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Communicated by R. Haag
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Mack, G. Confinement of static quarks in two dimensional lattice gauge theories. Commun.Math. Phys. 65, 91–96 (1979). https://doi.org/10.1007/BF01940962
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DOI: https://doi.org/10.1007/BF01940962