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- From: alison@wsrcc.com (Alison Chaiken)
- Subject: Re: Solid-state doesn't use QED! (Was Re: Particle Research)
- Message-ID: <BxHJ7F.HDC@wsrcc.com>
- Organization: W S Rupprecht Computer Consulting, Fremont CA
- References: <gewIg2C00WBL01w4Qz@andrew.cmu.edu> <3NOV199213063917@erich.triumf.ca> <BxA2GC.6yE@wsrcc.com> <1992Nov7.121305.1@cubldr.colorado.edu> <BxEuvI.59p@wsrcc.com> <MATT.92Nov8120704@physics.berkeley.edu>
- Date: Tue, 10 Nov 1992 05:28:26 GMT
- Lines: 36
-
- matt@physics.berkeley.edu (Matt Austern) writes:
- >My understanding is that solid-state theorists do indeed work with
- >models in which this happens. (e.g., massive photons in
- >superconductors) It wouldn't surprise me, though, if solid-state
- >people know it by a different name than the "Higgs mechanism." It
- >certainly is a very general concept, and it was independently
- >discovered by many people. One book, in fact, refers to it as the
- >Brout-Englert-Higgs-Guralnik-Hagen-Kibble mechanism!
-
- Ah, you are referring to the "spontaneously broken gauge symmetry" in
- superconductors. When this subject came up in the "Field theory of
- solid-state" course I took, no one's name was associated with it. The
- gist of the lecture was that the phase acquired by the complex
- Bardeen-Cooper-Schrieffer wavefunction broke gauge symmetry. The
- broken symmetry led to a sort of
-
- (particle number)(wavefunction phase) >= 2*pi
-
- uncertainty rule, which showed that macroscopic quantum wavefunctions
- necessarily involve an uncertain number of particles. Using this
- argument, one can justify harmonic-oscillator-like ladder operators to
- create and destroy quasiparticles. The intuitive justification in the
- superconductivity case is that destroyed Cooper pairs become
- quasiparticles, i.e. normal electrons. Good God, are massive photons
- involved here somewhere? I don't recall it from this discussion.
-
- I recall that there was a Goldstone boson associated with the broken
- symmetry, but some hand-waving argument was used to rescale its energy
- up to some finite value, probably the superconducting gap energy. Is
- this rescaling where the Anderson-Higgs mechanism comes in?
-
- --
- Alison Chaiken alison@wsrcc.com
- (510) 422-7129 [daytime] or chaiken@cmsgee.llnl.gov
- Look if you like, but you will have to leap.
-
-