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Duality in Scalar Field Theory on Noncommutative Phase Spaces
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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.
Forward citations
Cited by 2 Pith papers
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IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
In noncommutative Yukawa theory, the CPT-required pair of interaction orderings converts the one-loop ultraviolet quadratic divergence into an infrared pole that is reachable in the s-channel.
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Solution of the self-dual $\Phi^4$ QFT-model on four-dimensional Moyal space
The planar sector of the self-dual Φ^4 model on 4D Moyal space is solved in closed form by a hypergeometric function, and the model's spectral dimension is proven to be 4 - (2/π) arcsin(λπ).
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