Gauge Symmetry As Symmetry Of Matrix Coordinates

Details Gauge Symmetry As Symmetry Of Matrix Coordinates Gauge Symmetry As Symmetry Of Matrix Coordinates

2000-07-04

arxiv.org/abs/hep-th/0007023v3

Eur.Phys.J.C17:535-538,2000

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX file; v2: few changes in text, to appear in Euro. Phys. Jour. C; v3: refs. added, 11 pages

Scientific paper

10.1007/s100520000481

We propose a new point of view to gauge theories based on taking the action of symmetry transformations directly on the coordinates of space. 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 noncommutativity of coordinates appears as the lattice spacing parameter. Through the statements concerning the continuum limit of lattice gauge theories, this suggestion arises that noncommutative 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 manifested.

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