Space-Time Noncommutativity from Particle Mechanics

Abstract

We exploit the reparametrization symmetry of a relativistic free particle to impose a gauge condition which upon quantization implies space-time noncommutativity. We show that there is an algebraic map from this gauge back to the standard 'commuting' gauge. Therefore the Poisson algebra, and the resulting quantum theory, are identical in the two gauges. The… (More)

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