Monopoles, abelian projection and gauge invariance
Feb, 2010
8 pages
Published in:
- Phys.Rev.D 81 (2010) 085022
e-Print:
- 1002.3874 [hep-lat]
Report number:
- IFUP-TH-2010-08,
- SISSA-13-2010-EP
View in:
Citations per year
Abstract: (arXiv)
A direct connection is proved between the Non-Abelian Bianchi Identities(NABI), and the abelian Bianchi identities for the 't Hooft tensor. As a consequence the existence of a non-zero magnetic current is related to the violation of the NABI's and is a gauge-invariant property. The construction allows to show that not all abelian projections can be used to expose monopoles in lattice configurations: each field configuration with non-zero magnetic charge identifies its natural projection, up to gauge transformations which tend to unity at large distances. It is shown that the so-called maximal-abelian gauge is a legitimate choice. It is also proved, starting from the NABI, that monopole condensation is a physical gauge invariant phenomenon, independent of the choice of the abelian projection.- 12.38.Aw
- 11.15.Ha
- 11.15.Kc
- 14.80.Hv
- invariance: gauge
- current: magnetic
- Bianchi identity: nonabelian
- monopole
- maximal abelian gauge
- Bianchi identity: abelian
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