Gauge symmetry as symmetry of matrix coordinates

Authors
Citation
Ah. Fatollahi, Gauge symmetry as symmetry of matrix coordinates, EUR PHY J C, 17(3), 2000, pp. 535-538
Citations number
46
Categorie Soggetti
Physics
Journal title
EUROPEAN PHYSICAL JOURNAL C
ISSN journal
14346044 → ACNP
Volume
17
Issue
3
Year of publication
2000
Pages
535 - 538
Database
ISI
SICI code
1434-6044(200011)17:3<535:GSASOM>2.0.ZU;2-E
Abstract
We propose a new point of view on gauge theories, based on taking the actio n of symmetry transformations directly on the space coordinates. Via this a pproach the gauge fields are not introduced at the first step, and they can be interpreted as fluctuations around some classical solutions of the mode l. The new point of view is connected to the lattice formulation of gauge t heories, and the parameter of the non-commutativity of the coordinates appe ars as the lattice spacing parameter. Through the statements concerning the continuum limit of lattice gauge theories, the suggestion arises that the non-commutative spaces are the natural ones to formulate gauge theories at strong coupling Via this point of view, a close relation between the large- N limit of gauge theories and string theory; can be made manifest.