The Gribov problem in Noncommutative QED

Abstract

It is shown that in the noncommutative version of QED (NCQED) Gribov copies induced by the noncommutativity of space-time appear in the Landau gauge. This is a genuine effect of noncommutative geometry which disappears when the noncommutative parameter vanishes.

19 pages, 3 figures. Published. The paper has been shortened and many references have been judged unnecessary or not suitable during the reviewing process

References in corpus (10)

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Cited by in corpus (11)

• Gauge theories on quantum spaces
• $k$-Minkowski-deformation of $U(1)$ gauge theory
• Spectral Noncommutative Geometry, Standard Model and all that
• $\mathcal{P}\mathcal{T}$-symmetric quantum field theory on the noncommutative spacetime
• Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
• Aspects of perturbative quantum field theory on non-commutative spaces
• The Gribov problem in Noncommutative gauge theory
• Gribov horizon in Noncommutative QED
• Hamiltonian analysis in Lie-Poisson gauge theory
• Search for noncommutative interactions in $\gamma \gamma \to \gamma \gamma$ process at the LHC
• Four-dimensional noncommutative deformations of $U(1)$ gauge theory and $L_{\infty }$ bootstrap