Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Superconducting Vacuum

  1. Feb 27, 2006 #1

    reilly

    User Avatar
    Science Advisor

    I would very much like to know what work has or is being done on the notion of a superconducting relativistic vacuum. Google, so far, has not been much help. I'd greatly appreciate any clues or info.


    I ask as I'm doing my own investigations, and I'm far enough along to start worrying about re-inventing the wheel, or vacuum, as the case may be.
    Many thanks, and regards,
    Reilly Atkinson
     
  2. jcsd
  3. Feb 27, 2006 #2

    ZapperZ

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor

    Can you define what exactly is a "superconducting relativistic vacuum"?

    Zz.
     
  4. Feb 28, 2006 #3

    reilly

    User Avatar
    Science Advisor

    ZapperZ--
    I'm thinking of the ground state of a relativistic 3-point interaction field theory (I'm looking at a Fermion-Scalar Boson model), And this ground state would be superconducting in exactly the sense described by Cooper pairs, energy gap and all that.

    Actually, any info on non-purturbative approaches to field theory ground states would be great.

    Thanks & regards,
    Reilly
     
  5. Feb 28, 2006 #4

    ZapperZ

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor

    What is the Hamiltonian of this "relativistic 3-point interaction field theory"? And how was the ground state obtained? And what exactly is "superconducting"?

    Zz.
     
  6. Feb 28, 2006 #5

    reilly

    User Avatar
    Science Advisor

    I'm working with a Hamiltonian composed of free(relativistic) particle terms for a fermion field and a scalar boson field, and an intrtaction term of the form

    (Integral over all space of (psibar(x) phi(x) psi(x)), psi is the fermion field, phi the boson field./


    Ground state? Good question.

    Superconducting: a fermion system obeying Cooper's pair eq;



    I'm finding some info from google on vacuum and QCD.
    Thanks for your interest.
    Regards,
    Reilly
     
  7. Mar 1, 2006 #6

    ZapperZ

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor

    No, when I asked for "what exactly is superconducting", I wasn't asking for a definition of superconductivity, something that I know quite well.

    When I say something is superconducting, I am talking about "charge transport". When I say something is a superfluid, I'm saying something about "particle transport".

    So if you say a superconducting vacuum, I'm asking what exactly is moving with zero resistance, since you have no charges.

    Zz.
     
  8. Mar 1, 2006 #7

    reilly

    User Avatar
    Science Advisor

    For all practical purposes, my questions are answered for the moment. So, when I come up wih something, if I do, I'll report things here.
    Thanks, and regards,
    Reilly
     
  9. Mar 3, 2006 #8

    Hans de Vries

    User Avatar
    Science Advisor


    The analogy between the BCS theory and the Higgs-Kribble mechanism for
    mass generation was what allowed Gerard 't Hooft to renormalize the
    Electroweak sector of the Standard Model.

    Bose condensation of the vacuum was first proposed by François Englert,
    Robert Brout and Peter Higgs.

    Thomas Kribble showed that this analogy could also be used for Yang Mills
    fields (which are used to model the Electro Weak Force).


    Regards, Hans
     
    Last edited: Mar 3, 2006
  10. Mar 6, 2006 #9

    reilly

    User Avatar
    Science Advisor

    Hans -- Many thanks. My convergence toward getting up to date is slow, but certainly interesting./
    Regards,
    Reilly
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Superconducting Vacuum
  1. Boiling the Vacuum (Replies: 4)

  2. Vacuum decay (Replies: 12)

  3. Vacuum metastability (Replies: 3)

Loading...