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

Autor(es)

Cucchieri, A. ^[1] ; Mendes, T. ^{[1, 2]}

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Carlos, SP - Brazil

^[2] DESY Zeuthen, D-15738 Zeuthen - Germany

• Tipo de documento: Artigo Científico
• Fonte: Physical Review D; v. 78, n. 9, p. 094503, 2008.
• Citações Web of Science: 153

Resumo

We 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 approximate to 0.15, in agreement with A. Maas, Phys. Rev. D 75, 116004 (2007). We note that our discussion is general, although we make an application only to pure gauge theory in Landau gauge. Our simulations have been performed on the IBM supercomputer at the University of Sao Paulo. (AU)

• Processo FAPESP: 04/08928-3 - Desenvolvimento e aplicação de métodos computacionais de alto desempenho para análise de sistemas físicos e biológicos
• Beneficiário: Luiz Nunes de Oliveira
• Modalidade de apoio: Auxílio à Pesquisa - Programa Equipamentos Multiusuários
• Processo FAPESP: 05/59919-7 - Computacao de alto desempenho para o estudo de fenomenos criticos.
• Beneficiário: Tereza Cristina da Rocha Mendes
• Modalidade de apoio: Auxílio à Pesquisa - Regular