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UV divergence-free QFT on noncommutative plane

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arxiv hep-th/0308193 v2 pith:3GFVO2AG submitted 2003-08-28 hep-th

Anais Smailagic , Euro Spallucci This is my paper · ORCID
classification hep-th
keywords noncommutativefieldsplanetheorycarriedcoherentcutoffdefined
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the consistency of non-commutative geometry inspired Reissner-Nordstr\"{o}m black hole solution

    gr-qc 2025-07 conditional novelty 6.0 of 10

    The smeared-charge Reissner-Nordström metric used in noncommutative black hole papers is not a full solution of Einstein's equations unless the electromagnetic stress tensor is modified by hand.

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