A Free-Algebraic Solution for the Planar Approximation

TL;DR

This paper presents an explicit free-algebraic method to solve for the generating functional of n-point functions within the planar approximation, offering a new algebraic approach to this problem.

Contribution

It introduces a novel free-algebraic framework providing explicit solutions for planar approximation generating functionals.

Findings

Explicit free-algebraic solution derived for n-point functions

Framework simplifies calculations in planar approximation

Potential applications in quantum field theory and statistical mechanics

Abstract

An explicit solution for the generating functional of n-point functions in the planar approximation is given in terms of two sets of free-algebraic annihilation and creation operators.