Constraints on the IR behavior of the ghost propagator in Yang-Mills theories

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dc.creatorCucchieri, Attilio
dc.creatorMendes, Tereza
dc.date2008-04-15
dc.date2008-08-11
dc.date.accessioned2026-07-07T11:49:52Z
dc.date.available2026-07-07T11:49:52Z
dc.descriptionWe present rigorous upper and lower bounds for the momentum-space ghost propagator G(p) of Yang-Mills theories in terms of the smallest nonzero eigenvalue (and of the corresponding eigenvector) of the Faddeev-Popov matrix. We apply our analysis to data from simulations of SU(2) lattice gauge theory in Landau gauge, using the largest lattice sizes to date. Our results suggest that, in three and in four space-time dimensions, the Landau-gauge ghost propagator is not enhanced as compared to its tree-level behavior. This is also seen in plots and fits of the ghost dressing function. In the two dimensional case, on the other hand, we find that G(p) diverges as p^{-2-2 kappa} with kappa \approx 0.15, in agreement with Ref. [1]. We note that our discussion is general, although we make an application only to pure gauge theory in Landau gauge. Most of our simulations have been performed on the IBM supercomputer at the University of Sao Paulo.
dc.description6 pages, 5 tables, 2 figures (6 plots); added plots and fits of the ghost dressing function
dc.identifierhttps://arxiv.org/abs/0804.2371
dc.identifierhttp://arxiv.org/abs/0804.2371
dc.identifierPhys.Rev.D78:094503,2008
dc.identifierdoi:10.1103/PhysRevD.78.094503
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203384
dc.subjectHigh Energy Physics - Lattice
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleConstraints on the IR behavior of the ghost propagator in Yang-Mills theories
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