Canonical quantization of noncommutative field theory

Ciprian Acatrinei
Phys. Rev. D 67, 045020 – Published 28 February 2003
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Abstract

A simple method to canonically quantize noncommutative field theories is proposed. As a result, the elementary excitations of a (2n+1)-dimensional scalar field theory are shown to be bilocal objects living in an (n+1)-dimensional space-time. Feynman rules for their scattering are derived canonically. They agree, upon suitable redefinitions, with the rules obtained via star-product methods. The IR-UV connection is interpreted within this framework.

  • Received 5 November 2002

DOI:https://doi.org/10.1103/PhysRevD.67.045020

©2003 American Physical Society

Authors & Affiliations

Ciprian Acatrinei*

  • Department of Physics, University of Crete, P.O. Box 2208, Heraklion, Greece

  • *On leave from Institute of Atomic Physics, P.O. Box MG-6, 76900 Bucharest, Romania. Email address: acatrine@physics.uoc.gr

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Vol. 67, Iss. 4 — 15 February 2003

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