# Perturbative Yang-Mills Ground State in the Temporal Gauge

## TL;DR

This paper computes second order corrections to the ground state and vacuum energy of Yang-Mills theory in the temporal gauge, highlighting renormalization and the running coupling in a gauge-invariant framework.

## Contribution

It introduces a gauge-invariant approach to renormalization and the running coupling in the temporal gauge for Yang-Mills theory, connecting to axial gauge results.

## Key findings

- Renormalization constants match those of the Axial gauge.
- Dimensional regularization effectively handles divergences.
- Ground state energy receives specific second order corrections.

## Abstract

Second order corrections to the perturbative ground state wave functional and vacuum energy of a Yang-Mills theory are calculated in the temporal gauge. Using dimensional regularization, the concepts of renormalization and a running coupling constant are motivated in a spatially gauge invariant way, before the introduction of a scalar product. After definition of a scalar product, it is shown that the renormalization constants of this approach are just those of the Axial gauge.

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Source: https://tomesphere.com/paper/1701.05120