# Confining Classical Configurations

## TL;DR

This paper constructs smooth SU(2) gauge configurations and measures Wilson loops, revealing area law behavior and constant string tension ratios across representations, with implications for confinement in gauge theories.

## Contribution

It introduces a family of smooth, almost self-dual SU(2) configurations and analyzes their Wilson loops, providing new insights into confinement and string tension ratios.

## Key findings

- Area law observed in fundamental, adjoint, and spin 3/2 Wilson loops.
- String tension ratios remain constant under cooling.
- Confinement properties are preserved in constructed configurations.

## Abstract

We construct a family of smooth, almost self-dual, non-thermalized SU(2) gauge field configurations, and measure the average of the fundamental, adjoint and spin $\frac{3}{2}$ representation Wilson loops on them. We get area law in all three cases. We also study thermalised configurations at $\beta= 2.325$ after cooling. The ratio of string tension in the spin j representation over that in the fundamental, stays constant with cooling.