I have posted below, a current draft of the Yang Mills paper on which I
am presently working:
http://jayryablon.files.wordpress.com/2008/12/yang-mills-paper-151.pdf
This draft is complete, through the development and integration by parts
of a full, Yang-Mills action. This is something of a breakpoint in my
present efforts, and I'd be interested in comments on whether this hangs
together at this juncture.
I especially would like comment on whether (6.4) appears to be a correct
result, because that is the main result that is derived from all that
precedes it.
Sections 7 through 9 are new in relation to anything I have posted
before, and seek to treat the Yang Mills scalar terms and lay a
foundation for a gauge-invariant treatment of fermion masses.
I would also solicit comment on (9.4), since that encapsulates all of
the preceding development, and is the foundation for all that would
follow.
I should at this point tie this to the recent foray into Gaussian
integration. That is NOT the main thrust of what I am doing at present;
the Yang-Mills paper linked above IS the main thrust.
It became apparent, once I reached (9.4), that it would be necessary to
consider Gaussian integral of a Lagrangian with field terms up to fourth
order, and that motivated the Gaussian integration discussion. I was
trying in that discussion to "scout out" some of the questions which I
foresaw I would have to deal with in Part II of this paper, and feel
that I have proceeded far enough in that direction to now return to this
mainline effort on Yang-Mills.
So, my main questions: do (6.4) and (9.4) seem to be correct results,
and proper foundations for next steps?
Thanks again to all for all the helpful input to date.
Jay.
____________________________
Jay R. Yablon
Email: jyab...@nycap.rr.com
co-moderator: sci.physics.foundations
Weblog: http://jayryablon.wordpress.com/
Web Site: http://home.nycap.rr.com/jry/FermionMass.htm