Confinement by thick magnetic vortices

  • Tamiaki Yorieya
Gauge Theories I
Part of the Lecture Notes in Physics book series (LNP, volume 176)


An argument is presented showing that the pure lattice gauge theories which are infrared unstable at the origin of the coupling constant are always in confining phase, provided that (i) the gauge group is compact and contains nontrivial center;(ii) Lagrangian does not contain long range interaction. The steps for an attempt at a proof of confinement are suggested.


Gauge Group Wilson Loop String Tension Lattice Gauge Theory Center Transformation 
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  1. 1.
    T. Yoneya, Nucl. Phys. B205 [FS] (1982)130.Google Scholar
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    G. Mack and V. B. Petkova, Ann. Phys. 125 (1980)117.Google Scholar
  3. 3.
    See G. Mack, “Properties of lattice gauge theory models at low temperature”, in Progress in Gauge Theories, eds. G. 'tHooft et al (Plenum Press, New York, 1980).Google Scholar
  4. 4.
    G. 'tHooft, Nucl. Phys. B153 (1979)141.Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Tamiaki Yorieya
    • 1
  1. 1.Institute of PhysicsUniversity of TokyoKomaba, TokyoJapan

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