Investigating Superconducting Relativistic Vacuum - Reilly Atkinson

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    Superconducting Vacuum
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Discussion Overview

The discussion revolves around the concept of a superconducting relativistic vacuum, exploring its theoretical underpinnings and potential implications within the framework of field theory. Participants inquire about existing research and clarify definitions related to superconductivity and vacuum states.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Reilly Atkinson seeks information on the superconducting relativistic vacuum, expressing concern about potentially duplicating existing work.
  • ZapperZ requests a definition of "superconducting relativistic vacuum" to clarify the discussion.
  • Reilly describes a model involving a relativistic 3-point interaction field theory, suggesting that the ground state may exhibit superconducting properties akin to Cooper pairs.
  • ZapperZ questions the Hamiltonian of the proposed theory and the nature of the ground state, seeking clarity on what is meant by "superconducting" in this context.
  • Reilly explains that the Hamiltonian includes terms for free relativistic particles and an interaction term, while also referencing Cooper's pair equation.
  • ZapperZ challenges Reilly's use of "superconducting," asking for specifics on charge transport in a vacuum devoid of charges.
  • Reilly acknowledges that their questions have been addressed for the time being and expresses intent to report back with findings.
  • Hans introduces historical context by mentioning the analogy between BCS theory and the Higgs mechanism, as well as contributions from Englert, Brout, and Higgs regarding vacuum condensation.
  • Reilly thanks Hans for the information and expresses a desire to stay updated.

Areas of Agreement / Disagreement

The discussion does not reach a consensus, as participants express differing interpretations of superconductivity and its application to the vacuum concept. Multiple viewpoints on the definitions and implications remain unresolved.

Contextual Notes

Participants have not fully defined key terms such as "superconducting" in the context of a vacuum, and there are unresolved questions regarding the mathematical formulation of the proposed theories.

Who May Find This Useful

This discussion may be of interest to researchers and students in theoretical physics, particularly those focused on field theory, superconductivity, and the foundations of quantum mechanics.

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

Zz.
 
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
 
reilly said:
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

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

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

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