Twisted Yang-Mills field theory: connections and Noether current

Abstract

Main properties of noncommutative (NC) gauge theory are investigated in a $2-$dimensional twisted Moyal plane, generated by vector fields $X_a=e_a^{\mu }(x){\partial }_{\mu };$ the dynamical effects are induced by a non trivial tensor $e_a^{\mu }(x)$. Connections in such a NC space are defined. Symmetry analysis is performed and related NC action is proved to be invariant under defined NC gauge transformations. A locally conserved Noether current is explicitly computed. Both commuting and noncommutative vector fields $X_a$ are considered.

References in corpus (3)

• Noncommutative Induced Gauge Theory
• Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory
• Dynamical noncommutativity