Covariant technique of derivative expansion of one-loop effective action

TL;DR

This paper introduces a systematic covariant method for derivative expansion of the one-loop effective action using deformation quantization, applicable to various quantum field theories including supersymmetric models.

Contribution

It presents a novel covariant technique based on operator symbols and deformation quantization for calculating derivative expansions in quantum field theory.

Findings

Effective for scalar, Yang-Mills, and scalar electrodynamics theories.

Applicable to superspace formulations in super QED.

Simplifies calculations of quantum corrections in complex models.

Abstract

A simple systematic method for calculating derivative expansions of the one-loop effective action is presented. This method is based on using symbols of operators and well known deformation quantization theory. To demonstrate its advantages we present several examples of application for scalar theory, Yang-Mills theory, and scalar electrodynamics. The superspace formulation of the method is considered for K\"ahlerian and non-K\"ahlerian quantum corrections for Wess-Zumino and for Heisenberg-Euler lagrangians in super QED models.