IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4615-1915-7_17.html
   My bibliography  Save this book chapter

Quantum Effect of Nonlinear Born—Infeld Field

In: Symmetries in Science VIII

Author

Listed:
  • Masahiko Kanenaga

    (Waseda University, Department of Physics)

  • Mikio Namiki

    (Waseda University, Department of Physics)

  • Hiroshi Hotta

    (Waseda University, Department of Physics)

Abstract

Many years ago Born and Infeld [1] presented a nonlinear electromagnetic field with a non-polynomial action including the so-called universal length. One of the most important characteristics of the Born-Infeld field is found in its static solution which has no infra-red divergence. Many physicists expected that this might be an example of divergence-free field theory. However, no one could succeed to quantize the field, by means of the standard canonical quantization method, because of the complicated nonlinearity. Even the path-integral quantization can hardly be applied to this field, because we cannot easily manipulate such a non-polynomial action. We have to invent a new quantization method if we want to quantize the Born-Infeld field.

Suggested Citation

  • Masahiko Kanenaga & Mikio Namiki & Hiroshi Hotta, 1995. "Quantum Effect of Nonlinear Born—Infeld Field," Springer Books, in: Bruno Gruber (ed.), Symmetries in Science VIII, pages 233-239, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-1915-7_17
    DOI: 10.1007/978-1-4615-1915-7_17
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-1-4615-1915-7_17. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.