An all-order proof of the equivalence between Gribovʼs no-pole and Zwanzigerʼs horizon conditions

• DOI: 10.1016/j.physletb.2013.01.039
• Publication Date: 2013-01-23T22:34:21Z
• Authors: M.A.L. Capri; D. Dudal; M.S. Guimaraes; L.F. Palhares; S.P. Sorella
• Keywords: Propagator

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