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arxiv: hep-th/0204197 · v1 · submitted 2002-04-23 · ✦ hep-th

Canonical Quantization of Noncommutative Field Theory

classification ✦ hep-th
keywords fieldcanonicallydimensionalnoncommutativerulestheoryagreebilocal
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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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