Physics of Particles and Nuclei Letters

, Volume 11, Issue 7, pp 830–835 | Cite as

On the Gribov problem in Yang-Mills theory

  • Olaf LechtenfeldEmail author


I briefly review the Gribov ambiguity of Yang-Mills theory, some of its features and attempts to control it, in particular the Gribov-Zwanziger proposal to restrict the functional integration in the Landau gauge to the Gribov region. This proposal is extended to an arbitrary gauge in such a way as to guarantee BRST invariance. The key insight is that any gauge change in the generating functional can be effected by a suitable field-dependent BRST transformation. I derive a simple analytic formula for the Jacobian of such a transformation, which yields an explicit recipe for the required transformation-parameter functional and allows for the computation of the Gribov horizon functional in any gauge, as I illustrate for the class of R ξ gauges.


Nucleus Letter Mill Theory Landau Gauge BRST Transformation Ghost Propagator 
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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Institut für Theoretische Physik and Riemann Center for Geometry and PhysicsLeibniz Universitat HannoverHannoverGermany

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