How to extract information from Green's functions in Landau gauge

Details How to extract information from Green's functions in Landau gauge How to extract information from Green's functions in Landau gauge

2008-09-16

arxiv.org/abs/0809.2777v1

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, proceedings of SPMTP08 (Dubna, June 2008), talk presented by A. Cucchieri

Scientific paper

The infrared behavior of gluon and ghost propagators offers a crucial test of confinement scenarios in Yang-Mills theories. A nonperturbative study of these propagators from first principles is possible in lattice simulations, but one must consider significantly large lattice sizes in order to approach the infrared limit. We propose constraints based on general properties of the propagators to gain control over the extrapolation of data to the infinite-volume limit. These bounds also provide a way to relate the propagators to simpler, more intuitive quantities. We apply our analysis to the case of pure SU(2) gauge theory in Landau gauge, using the largest lattice sizes to date. Our results seem to contradict commonly accepted confinement scenarios. We argue that it is not so.

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