Abstract
By construction, renormalized non-Abelian gauge theories do not allow for point-like magnetic charges. However, a procedure exists called ‘the Abelian projection’, that transforms these theories into apparently non-renormalizable Abelian theories with magnetic point charges. The small-distance treatment of magnetic charges in gauge theories differs completely from that of electric charges. Yet the effects of these charges, in particular in the infrared region, are very similar. This is expressed in the notion called ‘duality’, and allows one to predict the possibility of exotic confinement modes, ‘oblique confinement’. An exact duality relation is shown to exist which applies to electric and magnetic fluxes in a box.
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References
G. ’t Hooft and M. Veltman, Nucl.Phys. B50 (1972) 318.
V. Gribov, Nucl. Phys. B139 (1978) 1.
G. ’t Hooft, Nucl. Phys. B190 [FS3] (1981) 455; Phys. Scripta 25 (1982) 133.
E. Witten, Phys. Lett, B86 (1979) 283.
P.A.M. Dirac, Proc. Roy. Soc. A133 (1934) 60; Phys. Rev. 74 (1948) 817.
H.B. Nielsen and P. Olesen, Phys. Lett. 32B (1970) 203.
G. ’t Hooft, Acta Phys. Austr., Suppl.22 (1980) 531.
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© 2002 Kluwer Academic Publishers
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’t Hooft, G. (2002). Duality and Oblique Confinement. In: van Baal, P. (eds) Confinement, Duality, and Non-Perturbative Aspects of QCD. NATO Science Series: B:, vol 368. Springer, Boston, MA. https://doi.org/10.1007/0-306-47056-X_13
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DOI: https://doi.org/10.1007/0-306-47056-X_13
Publisher Name: Springer, Boston, MA
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