An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions

• Verfasst von: Capri, Márcio André Lópes [VerfasserIn]
• Verfasst von: Dudal, D. [VerfasserIn]
• Verfasst von: Guimaraes, M. S. [VerfasserIn]
• Verfasst von: Palhares, Leticia F. [VerfasserIn]
• Verfasst von: Sorella, S. P. [VerfasserIn]
• Titel: An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
• Verf.angabe: M. A. L. Capri, D. Dudal, M. S. Guimaraes, L. F. Palhares, S. P. Sorella
• E-Jahr: 2013
• Jahr: 31 Jan 2013
• Umfang: 6 S.
• Teil: volume:719
• Teil: year:2013
• Teil: number:4-5
• Teil: pages:448-453
• Teil: extent:6
• Fussnoten: Gesehen am 05.03.2021
• Titel Quelle: Enthalten in: Physics letters / B
• Ort Quelle: Amsterdam : North-Holland Publ., 1967
• Jahr Quelle: 2013
• Band/Heft Quelle: 719(2013), 4-5, Seite 448-453
• ISSN Quelle: 1873-2445
• DOI: doi:10.1016/j.physletb.2013.01.039
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: High Energy Physics - Theory
• K10plus-PPN: 1750558785

Abstract

The quantization of non-Abelian gauge theories is known to be plagued by Gribov copies. Typical examples are the copies related to zero modes of the Faddeev-Popov operator, which give rise to singularities in the ghost propagator. In this work we present an exact and compact expression for the ghost propagator as a function of external gauge fields, in SU(N) Yang-Mills theory in the Landau gauge. It is shown, to all orders, that the condition for the ghost propagator not to have a pole, the so-called Gribov's no-pole condition, can be implemented by demanding a nonvanishing expectation value for a functional of the gauge fields that turns out to be Zwanziger's horizon function. The action allowing to implement this condition is the Gribov-Zwanziger action. This establishes in a precise way the equivalence between Gribov's no-pole condition and Zwanziger's horizon condition.