Pauli–Villars regularization elucidated in Bopp–Podolsky’s generalized electrodynamics View Full Text


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Article Info

DATE

2019-10-23

AUTHORS

Chueng-Ryong Ji, Alfredo Takashi Suzuki, Jorge Henrique Sales, Ronaldo Thibes

ABSTRACT

We discuss an inherent Pauli–Villars regularization in Bopp–Podolsky’s generalized electrodynamics. Introducing gauge-fixing terms for Bopp–Podolsky’s generalized electrodynamic action, we realize a unique feature for the corresponding photon propagator with a built-in Pauli–Villars regularization independent of the gauge choice made in Maxwell’s usual electromagnetism. According to our realization, the length dimensional parameter a associated with Bopp–Podolsky’s higher order derivatives corresponds to the inverse of the Pauli–Villars regularization mass scale Λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Lambda $$\end{document}, i.e. a=1/Λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$a = 1/\Lambda $$\end{document}. Solving explicitly the classical static Bopp–Podolsky’s equations of motion for a specific charge distribution, we explore the physical meaning of the parameter a in terms of the size of the charge distribution. As an offspring of the generalized photon propagator analysis, we also discuss our findings regarding on the issue of the two-term vs. three-term photon propagator in light-front dynamics. More... »

PAGES

871

References to SciGraph publications

  • 2016-12-15. Reduced Order Podolsky Model in BRAZILIAN JOURNAL OF PHYSICS
  • 1992-12. Path integral and operator approach for the Podolsky-Schwinger model in ZEITSCHRIFT FÜR PHYSIK C PARTICLES AND FIELDS
  • 1991-12. Quantization of Podolsky theory in the BFV formalism in ZEITSCHRIFT FÜR PHYSIK C PARTICLES AND FIELDS
  • 2006. Relativistic Dynamics of a Charged Sphere, Updating the Lorentz-Abraham Model in NONE
  • 2018-01-19. Bopp–Podolsky black holes and the no-hair theorem in EUROPEAN PHYSICAL JOURNAL C
  • 1960-02. ЗАМЕЧАНИЕ К ЭЛЕКТРОД ИНАМИКЕ БОППА И ПОДОЛЬСКОГО in CZECHOSLOVAK JOURNAL OF PHYSICS
  • 1972-11. Invariant regularization of gauge theories in THEORETICAL AND MATHEMATICAL PHYSICS
  • 1977-11. Pauli-Villars regularization for non-Abelian gauge theories in THEORETICAL AND MATHEMATICAL PHYSICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1140/epjc/s10052-019-7384-1

    DOI

    http://dx.doi.org/10.1140/epjc/s10052-019-7384-1

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1122020284


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