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Gauge dependence in MBPT amplitudes

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Acta Physica Hungarica New Series Heavy Ion Physics

Abstract

We generally discuss both electrodynamic and quantum mechanical gauge invariance. Many-body perturbation theory (MBPT) is widely used in various fields of physics and has been used to define mechanisms for collision dynamics for the interaction of matter with both photons and with charged particles. It is shown that individual MBPT amplitudes for photoionization do not obey gauge invariance, but that MBPT amplitudes summed to within a given order do satisfy gauge invariance. Explicit gauge transformations between length (L), velocity (V), and acceleration (A) forms of the dipole matrix element used for interactions of matter with photons are given.

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Authors and Affiliations

  1. Physics Department, Tulane University, 70118, New Orleans, LA, USA

    J. H. McGuire, L. Nagy & J. Wang

  2. Department of Applied Physics and Chemistry, University of Electro Communications, Chofu-shi, 182, Tokyo, Japan

    K. Hino

  3. Ioffe Institute, St. Petersburg, Russia

    M. Ya. Amusia

Authors
  1. J. H. McGuire
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  2. L. Nagy
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  3. J. Wang
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  4. K. Hino
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  5. M. Ya. Amusia
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Dedicated to the memory of E.P. Wigner

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McGuire, J.H., Nagy, L., Wang, J. et al. Gauge dependence in MBPT amplitudes. APH N.S., Heavy Ion Physics 1, 121–131 (1995). https://doi.org/10.1007/BF03053625

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  • DOI: https://doi.org/10.1007/BF03053625

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