Positronium as an example of algebraic composite calculations

TL;DR

This paper explores the use of Clifford algebra to analyze positronium within a functional quantum field theory framework, illustrating a novel algebraic approach to composite particle calculations.

Contribution

It introduces a Clifford algebraic perspective to functional quantum field theory for positronium, offering a new algebraic method for composite particle analysis.

Findings

Demonstrates the application of Clifford algebra to positronium

Provides a new algebraic framework for quantum field calculations

Bridges functional quantum field theory with Clifford algebra

Abstract

The functional quantum field theory, developed by Stumpf, provides the possibility to derive the quantum dynamics of a positronium gas from Coulomb interacting electrons and positrons. By this example, the method will be brought in a Clifford algebraic light, through identifying the functional space with an infinite dimensional Euclidean Clifford algebra.