Abstract
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.
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References
T. Yoneya, Nucl. Phys. B205 [FS] (1982)130.
G. Mack and V. B. Petkova, Ann. Phys. 125 (1980)117.
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).
G. 'tHooft, Nucl. Phys. B153 (1979)141.
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© 1983 Springer-Verlag
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Yorieya, T. (1983). Confinement by thick magnetic vortices. In: Kikkawa, K., Nakanishi, N., Nariai, H. (eds) Gauge Theory and Gravitation. Lecture Notes in Physics, vol 176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11994-9_12
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DOI: https://doi.org/10.1007/3-540-11994-9_12
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