| Topic: |
Science > Physics |
| User: |
"Kyle" |
| Date: |
05 Sep 2005 09:56:28 PM |
| Object: |
Info on Barrett SU(2) gauge, monopoles etc |
If anyone own the paper of Barrett in the following or know
where to view it, let me know as I'd like to see the entire
article:
Barrett, T.W., "Comments on the Harmuth ansatz: Use of a magnetic
current density in the calculation of the propagation velocity of
signals by amended Maxwell theory," IEEE Trans. Electromagn. Compat.,
Vol. EMC-30, pp. 419-420, 1988
Dr. Tiller based it to proposed about how a locale space can
be changed from U(1) to SU(2). He wrote thus:
"Very recently, Barrett seems to have cleared up the dilemma
by pointing out that the Maxwell equation gauge symmetry
is of the U(1) form when only electric charge and electric
current are present but is of the more complex SU(2) form
when magnetic charges and currents are also present. U(1)
fields are known to have fewer local degrees of freedom
than SU(2) fields, and SU(2) fields can be transformed
into U(1) fields by a process known as symmetry breaking"
Pls. comment about SU(2), monopoles or anything you can
make out of it. Tnx.
Kyle
.
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| User: "Richard Herring" |
|
| Title: Re: Info on Barrett SU(2) gauge, monopoles etc |
06 Sep 2005 10:21:19 AM |
|
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In message <1125975388.413214.47950@g47g2000cwa.googlegroups.com>, Kyle
<kylejetyer@yahoo.com> writes
If anyone own the paper of Barrett in the following or know
where to view it, let me know as I'd like to see the entire
article:
Barrett, T.W., "Comments on the Harmuth ansatz: Use of a magnetic
current density in the calculation of the propagation velocity of
signals by amended Maxwell theory," IEEE Trans. Electromagn. Compat.,
Vol. EMC-30, pp. 419-420, 1988
No idea about this paper, but it's common practice to model the effects
of polarisable materials by substituting fictitious charges or currents.
Dr. Tiller based it to proposed about how a locale space can
be changed from U(1) to SU(2). He wrote thus:
Space isn't being changed, just the description of it.
"Very recently, Barrett seems to have cleared up the dilemma
by pointing out that the Maxwell equation gauge symmetry
is of the U(1) form when only electric charge and electric
current are present but is of the more complex SU(2) form
when magnetic charges and currents are also present. U(1)
fields are known to have fewer local degrees of freedom
than SU(2) fields, and SU(2) fields can be transformed
into U(1) fields by a process known as symmetry breaking"
Pls. comment about SU(2), monopoles or anything you can
make out of it. Tnx.
Another way of saying this is:
"*If* independently-conserved electric and magnetic charges exist, then
electrodynamics needs to be described by a theory which has SU(2) gauge
symmetry rather than U(1)."
(If all particles have magnetic and electric charge in the same ratio,
this is not necessary, as one of them can be transformed away by a
duality transformation.)
(1) There is no evidence that this is the case.
(2) If it were so, the theory would be changed, not space.
Read Jackson's "Classical Electrodynamics", section 6.12 in the 2nd
edition.
--
Richard Herring
.
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