# SU(N) polynomial integrals and some applications

## TL;DR

This paper employs Weingarten functions to evaluate polynomial integrals over SU(N), enabling calculations relevant to lattice gauge and spin theories.

## Contribution

It introduces a method to compute SU(N) polynomial integrals using Weingarten functions, with applications to lattice gauge and spin models.

## Key findings

- Derived explicit formulas for SU(N) polynomial integrals
- Calculated one-link integrals for lattice gauge theories
- Enhanced computational tools for SU(N) integrals

## Abstract

We use the method of the Weingarten functions to evaluate SU(N) integrals of the polynomial type. As an application we calculate various one-link integrals for lattice gauge and spin SU(N) theories.