English

Gribov copies and anomalous scaling

High Energy Physics - Phenomenology 2009-01-16 v3 High Energy Physics - Theory

Abstract

Nonperturbative and lattice methods indicate that Gribov copies modify the infrared behavior of gauge theories and cause a suppression of gluon propagation. We investigate whether this can be implemented in a modified perturbation theory. The minimal modification proceeds via a nonlocal generalization of the Fadeev-Popov ghost that automatically decouples from physical states. The expected scale invariance of the physics associated with Gribov copies leads to the emergence of a nontrivial infrared fixed point. For a range of a scaling exponent the gauge bosons exhibit unparticlelike behavior in the infrared. The confining regime of interest for QCD requires a larger scaling exponent, but then the severity of ghost dominance upsets naive power counting for the infrared scaling behavior of amplitudes.

Keywords

Cite

@article{arxiv.0712.2379,
  title  = {Gribov copies and anomalous scaling},
  author = {B. Holdom},
  journal= {arXiv preprint arXiv:0712.2379},
  year   = {2009}
}

Comments

14 pages, 2 figures, published version

R2 v1 2026-06-21T09:54:10.583Z