MASSLESS SCHWINGER MODEL IN THE NULL PLANE GAUGE

Abstract

The canonical commutation relations between the field and its canonical conjugate momenta can not be imposed on the null plane. It differs significantly from the instant form because a relativistic theory on null-plane describe a dynamical systems with constraints. We are going to study massless Schwinger Model on the null-plane coordinates using the null-plane gauge. The Dirac's procedure for constrained systems is used to perform a detailed analysis of the canonic structure of the theory. If we imposed appropriated boundary conditions on the fields and choose the null-plane gauge, we determined the generalized Dirac brackets of the independent dynamical variables which via the correspondence principle give the (anti)- commutators for posterior quantization.

Keywords

• Null-plane coordinates
• Massless Schwinger model
• Constraint analysis
• Null-plane gauge
• Dirac brackets.