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Quantisation of \(\kappa \)-Deformed Klein–Gordon Field

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Workshop on Frontiers in High Energy Physics 2019

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 248))

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Abstract

We study the quantisation of real scalar field satisfying \(\kappa \)-deformed Klein–Gordon equation, valid upto a term. This scheme allows two choices, viz; (i) a deformed unequal time commutation relation between the field and its adjoint which leads to usual oscillator algebra, (ii) an undeformed unequal time commutation relation between field and its adjoint leading to a deformed oscillator algebra. Further we derive deformed conserved currents from \(\kappa \)-deformed Klein–Gordon equation.

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Acknowledgements

EH thanks Prof. V. Srinivasan for introducing him to the reference [4] and enlightening discussions. EH thanks SERB, Govt. of India, for support through EMR/2015/000622. VR thanks Govt. of India, for support through DST-INSPIRE/IF170622.

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Authors and Affiliations

  1. School of Physics, University of Hyderabad, Central University P.O., Hyderabad, 500046, Telangana, India

    E. Harikumar & Vishnu Rajagopal

Authors
  1. E. Harikumar
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  2. Vishnu Rajagopal
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Corresponding author

Correspondence to Vishnu Rajagopal .

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Editors and Affiliations

  1. Physics Department, IIT Hyderabad, Hyderabad, Telangana, India

    Anjan Giri

  2. School of Physics, University of Hyderabad, Hyderabad, Telangana, India

    Rukmani Mohanta

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Harikumar, E., Rajagopal, V. (2020). Quantisation of \(\kappa \)-Deformed Klein–Gordon Field. In: Giri, A., Mohanta, R. (eds) Workshop on Frontiers in High Energy Physics 2019. Springer Proceedings in Physics, vol 248. Springer, Singapore. https://doi.org/10.1007/978-981-15-6292-1_13

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  • DOI: https://doi.org/10.1007/978-981-15-6292-1_13

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-6291-4

  • Online ISBN: 978-981-15-6292-1

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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