Finite and Covariant Formulation of Local Field Theory Based on Improved Operator Products
Yukio Taguchi, Akinori Tanaka, Koichi I. Yamamoto · Progress of Theoretical Physics · 1977
On the basis of Wilson's operator product expansions, local improved operator products are defined as well-defined parts of usual operator products. The local products thus defined are independent of the order of the operators in the original products. All expressions, identities, relations and equations to be considered in the quantum field theory are uniquely, by virtue of the order independence, given by these local products. They are exactly of the same form as those of the formal theory except the case of the trace identity anomaly. The Adler-Bell-Jackiw anomaly is an example of the trace anomaly. When the improved operator products are rewritten in terms of the usual products, our theory reduces to the renormalization theory.