Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-02-06
Phys.Lett.B533:168-177,2002
Physics
High Energy Physics
High Energy Physics - Theory
13 pages LaTeX; Minor corrections, references added, comment about self-dual models added to section 4
Scientific paper
10.1016/S0370-2693(02)01650-7
We describe a novel duality symmetry of Phi(4)-theory defined on noncommutative Euclidean space and with noncommuting momentum coordinates. This duality acts on the fields by Fourier transformation and scaling. It is an extension, to interactions defined with a star-product, of that which arises in quantum field theories of non-interacting scalar particles coupled to a constant background electromagnetic field. The dual models are in general of the same original form but with transformed coupling parameters, while in certain special cases all parameters are essentially unchanged. Using a particular regualarization we show, to all orders of perturbation theory, that that this duality also persists at the quantum level. We also point out various other properties of this class of noncommutative field theories.
Langmann Edwin
Szabo Richard J.
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