DOI 10.1007/s100520000481
Gauge symmetry as symmetry of matrix coordinates
1 Institute for Advanced Studies in Basic Sciences (IASBS),
P.O. Box 45195-159, Zanjan, Iran
2 Institute for Studies in Theoretical Physics and Mathematics
(IPM), P.O. Box 19395-5531, Tehran, Iran
3 High Energy Physics Division, Department of Physics,
and Helsinki Institute of Physics, P.O. Box 9,
00014
University of Helsinki, Finland
Received: 16 June 2000 / Published online: 8 September 2000 - © Springer-Verlag 2000
Abstract
We propose a new point of view on gauge theories, based on taking
the
action of symmetry transformations directly on the space
coordinates.
Via this approach the gauge fields are not
introduced at the first step, and they can be interpreted as
fluctuations
around some classical solutions of the model. The new point of
view is
connected to the lattice formulation of gauge theories, and the
parameter
of the non-commutativity of the
coordinates appears 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.
Copyright Società Italiana di Fisica, Springer-Verlag 2000
