On the operator product expansion in noncommutative quantum field theory

2000/04/30 by Frederic Zamora · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1088/1126-6708/2000/05/002

published as JHEP 0005 (2000) 002 · 15 pages, six figures. LaTeX, JHEP class. Minor improvements, typos corrected. To be published in JHEP

arxiv created 2000/05/01 · openalex publication_date 2000/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Motivated by the mixing of UV and IR effects, we test the OPE formula in noncommutative field theory. First we look at the renormalization of local composite operators, identifying some of their characteristic IR/UV singularities. Then we find that the product of two fields in general cannot be described by a series expansion of single local operator insertions.

Citations

• A Note on UV/IR for Noncommutative Complex Scalar Field
• Renormalization of noncommutative Yang-Mills theories: A simple example

Cited by

• 1/Nc and ε′/ε
• Noncommutative linear sigma models