Gauge symmetry as symmetry of matrix coordinates
Copyright policy )Gauge symmetry as symmetry of matrix coordinates
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.
10 pages, LaTeX file; v2: few changes in text, to appear in Euro. Phys. Jour. C; v3: refs. added, 11 pages
- Institute for Advanced Studies in Basic Sciences Iran (Islamic Republic of)
- University of Helsinki Finland
High Energy Physics - Theory, fluctuations, lattice gauge theories, lattice spacing parameter, space coordinates, FOS: Physical sciences, matrix coordinate symmetry, Quantum field theory on lattices, symmetry transformations, Yang-Mills and other gauge theories in quantum field theory, classical solutions, noncommutative spaces, High Energy Physics - Theory (hep-th), gauge symmetry, Noncommutative geometry methods in quantum field theory, strong coupling, lattice gauge theory, string theory, gauge fields, continuum limit, large-N limit
High Energy Physics - Theory, fluctuations, lattice gauge theories, lattice spacing parameter, space coordinates, FOS: Physical sciences, matrix coordinate symmetry, Quantum field theory on lattices, symmetry transformations, Yang-Mills and other gauge theories in quantum field theory, classical solutions, noncommutative spaces, High Energy Physics - Theory (hep-th), gauge symmetry, Noncommutative geometry methods in quantum field theory, strong coupling, lattice gauge theory, string theory, gauge fields, continuum limit, large-N limit
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