Two- and three-point Green’s functions in two-dimensional Landau-gauge Yang-Mills theory

2007/04/13 by Axel Maas · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.75.116004

published as Phys.Rev.D75:116004,2007 · 14 pages, 14 figures, 4 tables, references added

arxiv created 2007/04/13 · openalex publication_date 2007/06/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The ghost and gluon propagator and the ghost-gluon and three-gluon vertex of two-dimensional SU(2) Yang-Mills theory in (minimal) Landau gauge are studied using lattice gauge theory. It is found that the results are qualitatively similar to the ones in three and four dimensions. The propagators and the Faddeev-Popov operator behave as expected from the Gribov-Zwanziger scenario. In addition, finite-volume effects affecting these Green's functions are investigated systematically. The critical infrared exponents of the propagators, as proposed in calculations using stochastic quantization and Dyson-Schwinger equations, are confirmed quantitatively. For this purpose lattices of volume up to (42.7 fm)² have been used.

Citations

• Quantization of non-Abelian gauge theories
• Some remarks on the Gribov ambiguity

Cited by

• Hamiltonian approach to 1+1 dimensional Yang–Mills theory in Coulomb gauge
• Constructing non-perturbative gauges using correlation functions
• Infrared exponents and the strong-coupling limit in lattice Landau gauge