The role of the gauge invariance in noncommutative field theory is discussed. A basic introduction to noncommutative geometry and noncommutative field theory is given. Background invariant formulation of Wilson lines is proposed. Duality symmetries relating various noncommutative gauge models are being discussed.
Kontsevich product and gauge invariance
Multifractality of time and space, covariant derivatives and gauge invariance
Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
