A Dual Non-abelian Yang-Mills Amplitude in Four Dimensions

TL;DR

This paper presents a new explicit formula and efficient algorithm for calculating dual SU(2) Yang-Mills amplitudes in four dimensions, enabling advanced numerical and analytical studies beyond previous three-dimensional limitations.

Contribution

It introduces a novel explicit vertex amplitude formula and an efficient computational algorithm for four-dimensional dual SU(2) Yang-Mills theory.

Findings

Explicit formula for 4D dual SU(2) Yang-Mills vertex amplitude

Efficient algorithm with order j^4 complexity

Enables numerical and analytic development in four dimensions

Abstract

We derive an explicit formula for the vertex amplitude of dual SU(2) Yang-Mills theory in four dimensions on the lattice, and provide an efficient algorithm (of order j to the fourth power) for its computation. This opens the way for both numerical and analytic development of dual methods, previously limited to the case of three dimensions.