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- W2093548263 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 only difference is in the interpretation of space-time coordinates. The procedure is repeated for the case of a coupling with a constant electromagnetic field, where the reparametrization symmetry is preserved. For more arbitrary interactions, we show that standard dynamical system can be rendered noncommutative in space and time by a simple change of variables." @default.
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- W2093548263 date "2004-07-01" @default.
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- W2093548263 title "Space–time noncommutativity from particle mechanics" @default.
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- W2093548263 doi "https://doi.org/10.1016/j.physletb.2004.04.079" @default.
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