On the Operator Product Expansion in Noncommutative Quantum Field Theory

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.Comment: 15 pages, six figures. LaTeX, JHEP class. Minor improvements, typos corrected. To be published in JHE