Path integral action of a particle in κ-Minkowski spacetime

@article{Verma2018PathIA,
title={Path integral action of a particle in $\kappa$-Minkowski spacetime},
author={Ravikant Verma and Debabrata Ghorai and Sunandan Gangopadhyay},
journal={Europhysics Letters},
year={2018},
volume={122}
}
• Published 1 February 2018
• Physics, Mathematics
• Europhysics Letters
In this letter, we derive the path integral action of a particle in κ-Minkowski spacetime. The equation of motion for an arbitrary potential due to the κ-deformation of the Minkowski spacetime is then obtained. The action contains a dissipative term which owes its origin to the κ-Minkowski deformation parameter a. We take the example of the harmonic oscillator and obtain the frequency of oscillations in the path integral approach as well as the operator approach up to the first order in the…
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