Operator Regularization in Evaluating Feynman Diagrams in QED in (3+1) Dimensional Space-Time

Abstract

Operator regularization is one of the excellent prescriptions for studying gauge theories. Among the many regularization prescriptions Dimensional regularization and Pre-regularization are the best methods for evaluating loop diagrams perturbatively. On the other hand Operator regularization can also be said one of the best methods for studying gauge theories because of its two-fold use. With this prescription one can adopt path- integral method with the combination of background field quantization and Schwinger expansion to find the result of the required problem without considering any Feynman diagrams. Also from this prescription one can consider Feynman diagrams and evaluating these diagrams using the Operator regularization prescription. In this paper we have shown how one can use both the options of Operator regularization method to evaluate Feynman diagrams in QED in (3+1) dimensional space-time.