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UV divergence-free QFT on noncommutative plane

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Published 17 September 2003 • Published under licence by IOP Publishing Ltd
, , Citation Anais Smailagic and Euro Spallucci 2003 J. Phys. A: Math. Gen. 36 L517 DOI 10.1088/0305-4470/36/39/103

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This article is corrected by 2003 J. Phys. A: Math. Gen. 36 11545

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1 Sezione INFN di Trieste, Strada Costiera 11, 34014 Trieste, Italy

2 Department of Theoretical Physics, University of Trieste, Strada Costiera 11, 34014 Trieste, Italy

Dates

  1. Received 27 May 2003
  2. Published

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0305-4470/36/39/L517

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 θ.

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