# A Novel Approach For Event-By-Event Early Gluon Fields

## TL;DR

This paper introduces an analytical method for generating early-time gluon fields in high-energy nuclear collisions, offering a potentially more efficient alternative to numerical Yang-Mills solutions.

## Contribution

It presents a novel analytical recursion relation approach for calculating classical gluon fields, differing from traditional numerical methods.

## Key findings

- Preliminary results demonstrate the method's viability.
- Analytical recursion provides reliable early-time gluon field estimates.
- Potential for improved computational efficiency in event generation.

## Abstract

We report on efforts to construct an event generator that calculates the classical gluon field generated at early times in high energy nuclear collisions. Existing approaches utilize numerical solutions of the Yang-Mills equations after the collision. In contrast we employ the analytically known recursion relation in the forward light cone. The few lowest orders are expected to lead to reliable results for times of up to the inverse saturation scale, tau_0 ~ 1/Q_s. In these proceedings we sketch some calculational details, and show some preliminary results.