# One-loop effective action for SU(2) gauge theory on S^3

## TL;DR

This paper derives the one-loop effective action for SU(2) gauge theory on a three-sphere, analyzing how quantum corrections influence the low-energy spectrum, particularly glueball states.

## Contribution

It provides an explicit calculation of the one-loop correction to the Hamiltonian for SU(2) gauge theory on S^3, advancing understanding of quantum effects in this setting.

## Key findings

- Calculated the one-loop correction to the Hamiltonian.
- Analyzed the impact on the glueball spectrum.
- Provided explicit effective action for low-energy modes.

## Abstract

We consider the effective theory for the low-energy modes of SU(2) gauge theory on the three-sphere. By explicitely integrating out the high-energy modes, the one-loop correction to the hamiltonian for this problem is obtained. We calculate the influence of this correction on the glueball spectrum.