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

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

2007-04-05

arxiv.org/abs/0704.0722v2

Phys.Rev.D75:116004,2007

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, 14 figures, 4 tables, references added

Scientific paper

10.1103/PhysRevD.75.116004

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.

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