Feynman Path Integral on the Noncommutative Plane
Anais Smailagic, Euro Spallucci
TL;DR
This paper develops a Feynman path integral framework on a noncommutative plane using coherent states, revealing a natural UV cutoff due to noncommutativity.
Contribution
It introduces a novel formulation of path integrals on noncommutative geometry, highlighting the impact of noncommutativity on quantum propagators.
Findings
Propagator shows UV cutoff from noncommutativity parameter
Path integral formulated using coherent states
Potential implications for quantum field theories
Abstract
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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