# Superconducting Vacuum

1. Feb 27, 2006

### reilly

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. Feb 27, 2006

### ZapperZ

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

Zz.

3. Feb 28, 2006

### reilly

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

4. Feb 28, 2006

### ZapperZ

Staff Emeritus
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.

5. Feb 28, 2006

### reilly

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.
Regards,
Reilly

6. Mar 1, 2006

### ZapperZ

Staff Emeritus
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.

7. Mar 1, 2006

### reilly

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

8. Mar 3, 2006

### Hans de Vries

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
9. Mar 6, 2006

### reilly

Hans -- Many thanks. My convergence toward getting up to date is slow, but certainly interesting./
Regards,
Reilly