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Canonical Quantization of Noncommutative Field Theory

Ciprian Acatrinei
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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.

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Ciprian Acatrinei. 2002-04-23. Canonical Quantization of Noncommutative Field Theory. https://doi.org/10.1103/physrevd.67.045020

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