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Main Author: Huber, Markus Q.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.18960
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author Huber, Markus Q.
author_facet Huber, Markus Q.
contents Functional methods like Dyson-Schwinger equations, the $n$PI effective action formalism, bound state equations and the functional renormalization group are versatile tools to study quantum field theories. They are exact, nonperturbative equations but have to be truncated for practical calculations. After a general introduction, I focus on their use in particle physics and discuss common truncations and solution techniques. The complete process from choosing a truncation to calculating observable quantities is exemplified by means of the glueball spectrum.
format Preprint
id arxiv_https___arxiv_org_abs_2510_18960
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A beginner's guide to functional methods in particle physics
Huber, Markus Q.
High Energy Physics - Phenomenology
Functional methods like Dyson-Schwinger equations, the $n$PI effective action formalism, bound state equations and the functional renormalization group are versatile tools to study quantum field theories. They are exact, nonperturbative equations but have to be truncated for practical calculations. After a general introduction, I focus on their use in particle physics and discuss common truncations and solution techniques. The complete process from choosing a truncation to calculating observable quantities is exemplified by means of the glueball spectrum.
title A beginner's guide to functional methods in particle physics
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2510.18960