The Higher Derivative Expansion of the Effective Action by the String Inspired Method. Part II

TL;DR

This paper uses a string-inspired worldline formalism, fully computerized, to compute higher derivative expansions of one-loop effective actions in non-Abelian gauge theory, providing explicit results up to sixth order and comparing with other methods.

Contribution

It introduces a fully computerized string-inspired approach for calculating higher derivative expansions in gauge theories, with explicit sixth-order results and detailed comparisons.

Findings

Explicit sixth-order expansion results provided.

Complete verification of coefficients up to fifth order.

Comparison with other algorithms confirms accuracy.

Abstract

We apply the string inspired worldline formalism to the calculation of the higher derivative expansion of one-loop effective actions in non-Abelian gauge theory. For this purpose, we have completely computerized the method, using the symbolic manipulation programs FORM, PERL and M. Explicit results are given to sixth order in the inverse mass expansion, reduced to a minimal basis of invariants specifically adapted to the method. Detailed comparisons are made with other gauge-invariant algorithms for calculating the same expansion. This includes an explicit check of all coefficients up to fifth order.