Constructing the Leading Order Terms of the Yang-Mills Schroedinger Functional

TL;DR

This paper derives the leading short-time behavior of the Yang-Mills Schrödinger functional using a local field expansion, providing insights into its initial evolution.

Contribution

It introduces a method to construct the leading order terms of the Yang-Mills Schrödinger functional through a local expansion approach.

Findings

Derived the leading short-time behavior of the functional

Established a local expansion framework for the analysis

Provided a basis for further non-perturbative studies

Abstract

The leading short-time behaviour of the Yang-Mills Schroedinger functional is obtained within a local expansion in the fields.