Example of a Poincare anomaly in relativistic quantum mechanics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages, RevTeX, 2 figures included

Scientific paper

10.1103/PhysRevD.53.960

The Poincare algebra of classical electrodynamics in one spatial dimension is studied using light-cone coordinates and ordinary Minkowski coordinates. We show that it is possible to quantize the theory by a canonical quantization procedure in a Poincare invariant manner on the light-cone. We also show that this is not possible when using ordinary coordinates. The physical reason of this anomaly is analysed.

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