Quantum Gauge Theory Amplitude Solutions

TL;DR

This paper develops a recursive derivative expansion method to compute quantum gauge and gravity theory amplitudes, providing a systematic way to determine coupling coefficients from initial conditions.

Contribution

It introduces a recursive derivative expansion approach to calculate all coupling coefficients in quantum gauge and gravity amplitudes from initial conditions.

Findings

Derived all coupling coefficients for n-point amplitudes

Provided a systematic recursive method for amplitude calculation

Applicable to initial conditions of bare or improved Lagrangians

Abstract

The $n$-point amplitudes of gauge and gravity theory are given as a series in the coupling. The recursive derivative expansion is used to find all of the coupling coefficients. Initial conditions to any bare Lagrangian, or of an improved action, are used to compute quantum amplitudes.