The Gribov Horizon and Ghost Interactions in Euclidean Gauge Theories

  title={The Gribov Horizon and Ghost Interactions in Euclidean Gauge Theories},
  author={Hirohumi Sawayanagi},
  journal={Progress of Theoretical and Experimental Physics},
  • H. Sawayanagi
  • Published 12 January 2017
  • Physics
  • Progress of Theoretical and Experimental Physics
The effect of the Gribov horizon in Euclidean $SU(2)$ gauge theory is studied. Gauge fields on the Gribov horizon yield zero modes of ghosts and anti-ghosts. We show these zero modes can produce additional ghost interactions, and the Landau gauge changes to a nonlinear gauge effectively. In the infrared limit, however, the Landau gauge is recovered, and ghost zero modes may appear again. We show ghost condensation happens in the nonlinear gauge, and the zero mode repetition is avoided. 



Landau gauge within the Gribov horizon.

A model which effectively restricts the functional integral of Yang-Mills theories to the fundamental modular region is considered and it is proved that this theory has the same divergences as the ordinary Yang-mills theory in the Landau gauge and that it is unitary.

Gribov ambiguity without topological charge

Examples of gauge transform pairs of fields A (x), A' (x) in non-Abelian gauge theories are constructed in which (1) both are in the Coulomb gauge, (2) both have zero topological charge, (3) both

A Soluble Gauge Model with Gribov-Type Copies

Abstract A soluble gauge model is presented which can exhibit the typical characteristics of Gribov's gauge-equivalent copies that exist in the Coulomb gauge of QCD. From the explicit solutions of