Re: Feynman Propagator
- From: Arnold Neumaier <Arnold.Neumaier@xxxxxxxxxxxx>
- Date: Sat, 8 Sep 2007 00:13:49 +0000 (UTC)
sweetser@xxxxxxxxxxxx schrieb:
Hello T:
I cannot answer the specific question, but I recall a relevant comment
in a particle field theory book by Kaku. To find the propagator, all
one needs to do is to invert the field equations. That cannot be done
for a gauge theory until you choose the gauge.
Weinberg wrote a few papers in the 1960's that were suppose to be an
arbitrary spin approach, but I found those articles too technical to
understand.
Weinberg's papers on 'Feynman rules for any spin' and some related questions are
Phys.Rev. 133 (1964), B1318-B1322 any spin (massive)
Phys.Rev. 134 (1964), B882-B896 any spin II (massless)
Phys.Rev. 135 (1964), B1049-B1056 grav. mass = inertial mass
Phys.Rev. 138 (1965), B988-B1002 derivation of Einstein
Phys.Rev. 140 (1965), B516-B524 infrared gravitons
Phys.Rev. 181 (1969), 1893-1899 any spin III (general reps.)
A perhaps more understandable version of part of the material is in
D.N. Williams,
The Dirac Algebra for Any Spin,
Unpublished Manuscript (2003)
http://www-personal.umich.edu/~williams/papers/diracalgebra.pdf
http://ptp.ipap.jp/link?PTP/51/249/
constructs covariant propagators and complete vertices for spin J bosons with conserved currents for all J.
Arnold Neumaier
.
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