The Gribov problem in Noncommutative gauge theory

Abstract

After reviewing Gribov ambiguity of non-Abelian gauge theories, a phenomenon related to the topology of the bundle of gauge connections, we show that there is a similar feature for noncommutative QED over Moyal space, despite the structure group being Abelian, and we exhibit an infinite number of solutions for the equation of Gribov copies. This is a genuine effect of noncommutative geometry which disappears when the noncommutative parameter vanishes.

14 pages. Prepared for the XXV International Fall Workshop on Geometry and Physics, Instituto de Estructura de la Materia (CSIC) Madrid, Spain August 29 - September 02, 2016

References in corpus (6)

• Twisted Noncommutative Field Theory with the Wick-Voros and Moyal Products
• Translation-invariant models for non-commutative gauge fields
• Noncommutative $R^d$ via closed star product
• The Gribov problem in Noncommutative QED
• Gauge Theory of the Star Product
• Aspects of perturbative quantum field theory on non-commutative spaces

Cited by in corpus (5)

• Spectral Noncommutative Geometry, Standard Model and all that
• $\mathcal{P}\mathcal{T}$-symmetric quantum field theory on the noncommutative spacetime
• Gribov horizon in Noncommutative QED
• Hamiltonian analysis in Lie-Poisson gauge theory
• Four-dimensional noncommutative deformations of $U(1)$ gauge theory and $L_{\infty }$ bootstrap