Discrete gauge theories

作者: Mark Wild de Propitius , F. Alexander Bais

DOI: 10.1007/978-1-4612-1410-6_8

关键词:

摘要: We present a self-contained treatment of planar gauge theories broken down to some finite residual group H via the Higgs mechanism. The main focus is on discrete theory describing long-distance physics such model. spectrum features global charges, magnetic vortices, and dyonic combinations. Due AharonovBohm effect, these particles exhibit topological interactions. Among other things, we review Hopf algebra related this theory, which provides unified description spin, braid, fusion properties in Exotic phenomena as flux metamorphosis, Alice fluxes, Cheshire charge, (non-)Abelian braid statistics, generalized spin-statistics connection, non-Abelian scattering are explained illustrated by representative examples.

参考文章(101)
R. Rajaraman, Solitons and instantons ,(1982)
M. V. Khazan, Analog of the Aharonov-Bohm effect in superfluid He/sup 3/-A Jetp Letters. ,vol. 41, pp. 396- ,(1985)
J. Fröhlich, F. Gabbiani, P.-A. Marchetti, Braid Statistics in Three-Dimensional Local Quantum Theory NATO ASI Series. pp. 15- 79 ,(1990) , 10.1007/978-1-4615-3802-8_2
V. G. Drinfeld, Quasi-Hopf Algebras and Knizhnik-Zamolodchikov Equations Problems of Modern Quantum Field Theory. Series: Research Reports in Physics. pp. 1- 13 ,(1989) , 10.1007/978-3-642-84000-5_1
Steven Shnider, Shlomo Sternberg, Quantum groups : from coalgebras to Drinfeld algebras : a guided tour International Press. ,(1993)
J. M. Leinaas, J. Myrheim, On the theory of identical particles Il Nuovo Cimento B. ,vol. 37, pp. 1- 23 ,(1977) , 10.1007/BF02727953
A.M. Polyakov, Quark confinement and topology of gauge theories Nuclear Physics. ,vol. 120, pp. 429- 458 ,(1977) , 10.1016/0550-3213(77)90086-4
A.A. Abrikosov, On the Magnetic properties of superconductors of the second group Zh.Eksp.Teor.Fiz.. ,vol. 32, pp. 1174- 1182 ,(1956)
E. Witten, Dyons of charge eθ/2π Physics Letters B. ,vol. 86, pp. 283- 287 ,(1979) , 10.1016/0370-2693(79)90838-4
A. M. Polyakov, Particle spectrum in quantum field theory Jetp Letters. ,vol. 20, pp. 194- 195 ,(1974) , 10.1142/9789814317344_0061