Perturbative Yang–Mills theory without Faddeev–Popov ghost fields

2017/12/31 by Helmuth Hüffel, Helmuth Huffel, Danijel Markovic
Mathematics · Physics and Astronomy · #Algorithm #BRST quantization #Black Holes and Theoretical Physics #Equivalence (formal languages) #Faddeev–Popov ghost #Feynman diagram #Gauge (firearms) #Gauge boson #Gauge fixing #Gauge theory #Introduction to gauge theory #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Path integral formulation #Physics #Pure mathematics #Quantization (signal processing) #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Theoretical physics #hep-th

paper · pdf · doi:10.1016/j.physletb.2018.03.030

published as Physics Letters B 780, 418 (2018) · 5 pages, 1 table. Extended version accepted for publication in Physics Letters B

openalex publication_date 2018/03/18 · arxiv created 2018/03/21 · arxiv updated 2018/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A modified Faddeev–Popov path integral density for the quantization of Yang–Mills theory in the Feynman gauge is discussed, where contributions of the Faddeev–Popov ghost fields are replaced by multi-point gauge field interactions. An explicit calculation to O(g2) shows the equivalence of the usual Faddeev–Popov scheme and its modified version.

Citations

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