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Feynman Path Integral on the Noncommutative Plane

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arxiv hep-th/0307217 v1 pith:O4IQWR7U submitted 2003-07-22 hep-th

classification hep-th
keywords feynmanintegralpathplanecoherentcommutativecommutativitycut-off
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We formulate Feynman path integral on a non commutative plane using coherent states. The propagator for a free particle exhibits UV cut-off induced by the parameter of non commutativity.

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Cited by 1 Pith paper

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  1. On the consistency of non-commutative geometry inspired Reissner-Nordstr\"{o}m black hole solution

    gr-qc 2025-07 conditional novelty 6.0 of 10

    The smeared-charge Reissner-Nordström metric used in noncommutative black hole papers is not a full solution of Einstein's equations unless the electromagnetic stress tensor is modified by hand.

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