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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Smailagic et al. (Tue,) studied this question.

synapsesocial.com/papers/6a17fc711b114e5976b4bc50 https://doi.org/https://doi.org/10.1088/0305-4470/36/33/101

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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Non-linear Vacuum Phenomena in Non-commutative QED2000 · 51 citations
2Quantenmechanik und Gruppentheorie1927 · 1,239 citations
3UV-IR relations in AdS dynamics1999 · 399 citations
4On the Quantum Correction For Thermodynamic Equilibrium1932 · 9,202 citations
5Particle propagator in elementary quantum mechanics: a new path integral derivation2000 · 11 citations