Canonical Quantization of Noncommutative Field Theory

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.

8 pages, 1 figure

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Cited by in corpus (6)

• Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity
• On matrix models for anomalous dimensions of super Yang-Mills theory
• IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
• Canonical Noncommutativity Algebra for the Tetrad Field in General Relativity
• Noncommutative radial waves
• The Hierarchy Problem: From the Fundamentals to the Frontiers