UV divergence-free QFT on noncommutative plane
Anais Smailagic, Euro Spallucci
TL;DR
This paper develops a UV finite quantum field theory on a noncommutative plane using a coherent state approach, avoiding the need for a *-product and introducing a natural cutoff via the noncommutative parameter.
Contribution
It introduces a formulation of noncommutative quantum field theory that is UV divergence-free without relying on the *-product, using coherent states and a modified Fourier transform.
Findings
The theory is UV finite due to noncommutative parameter theta.
No *-product is needed in this formulation.
The cutoff is naturally provided by the noncommutative geometry.
Abstract
We formulate Noncommutative Qauntum Field Theory in terms of fields defined as mean value over coherent states of the noncommutative plane. No *-product is needed in this formulation and noncommutativity is carried by a modified Fourier transform of fields. As a result the theory is UV finite and the cutoff is provided by the noncommutative parameter theta.
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