IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v328y2003i3p466-492.html
   My bibliography  Save this article

Vacuum fluctuations of a scalar field in a rectangular waveguide

Author

Listed:
  • Rodrigues, R.B.
  • Svaiter, N.F.

Abstract

An analysis of one-loop vacuum fluctuations associated with a scalar field confined in the interior of a infinite waveguide of rectangular cross section is presented. We first consider the massless scalar field defined in a four-dimensional Euclidean space. To identify the divergences of the vacuum fluctuations we use a combination of dimensional and zeta function analytic regularization procedures. The divergences which occur in the one-loop vacuum fluctuations fall into two distinct classes: local ones that are renormalized by the introduction of the usual bulk counterterms, and surface and edge divergences that demand counterterms concentrated on the boundaries. We present the detailed form of the surface and edge divergences. Finally we discuss how to generalize our calculations for a confined massive scalar field defined in a higher dimensional Euclidean space.

Suggested Citation

  • Rodrigues, R.B. & Svaiter, N.F., 2003. "Vacuum fluctuations of a scalar field in a rectangular waveguide," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 328(3), pages 466-492.
    • Handle: RePEc:eee:phsmap:v:328:y:2003:i:3:p:466-492
    DOI: 10.1016/S0378-4371(03)00575-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437103005752
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(03)00575-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:eee:phsmap:v:328:y:2003:i:3:p:466-492. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.