# Glueballs on S^3

## TL;DR

This paper investigates the low-energy dynamics of SU(2) gauge theory on a three-sphere, deriving an effective Hamiltonian and computing the glueball spectrum using a variational approach.

## Contribution

It provides a one-loop corrected Hamiltonian for SU(2) gauge theory on S^3 and calculates the glueball spectrum incorporating theta-dependence.

## Key findings

- Derived the one-loop corrected Hamiltonian for SU(2) on S^3
- Computed the glueball spectrum with boundary conditions for theta-dependence
- Applied a variational method to analyze low-energy modes

## Abstract

For SU(2) gauge theory on the three-sphere we study the dynamics of the low-energy modes. By explicitely integrating out the high-energy modes, the one-loop correction to the hamiltonian for this problem is obtained. After imposing the $\theta$-dependence through boundary conditions in configuration space, we obtain the glueball spectrum of the effective theory with a variational method.