English

A Primer on Functional Methods and the Schwinger-Dyson Equations

High Energy Physics - Phenomenology 2025-12-05 v3

Abstract

An elementary introduction to functional methods and the Schwinger-Dyson equations is presented. Emphasis is placed on practical topics not normally covered in textbooks, such as a diagrammatic method for generating equations at high order, different forms of Schwinger-Dyson equations, renormalisation, and methods for solving Schwinger-Dyson equations.

Keywords

Cite

@article{arxiv.1008.4337,
  title  = {A Primer on Functional Methods and the Schwinger-Dyson Equations},
  author = {Eric S. Swanson},
  journal= {arXiv preprint arXiv:1008.4337},
  year   = {2025}
}

Comments

38 pages, 15 figures. Lectures presented at Hadron XI, Maresias, Brazil and HUGS, Jefferson Lab. v2: tex formatting issues fixed, references added. v3 typos corrected

R2 v1 2026-06-21T16:05:09.891Z