The Standard Model Lagrangian Made Easy & Symmetric
- From: markwh04@xxxxxxxxx
- Date: Thu, 22 Feb 2007 14:56:53 +0000 (UTC)
On Feb 14, 1:33 am, "sweet...@xxxxxxxxxxxx" <dougsweet...@xxxxxxxxx>
wrote:
If you have ever seen the Lagrangian, it is densely
drawn, with generators of groups, gamma matrices, binding constants,
and wave functions. I do not find it enlightening.
The Standard Model Lagrangian
http://federation.g3z.com/Physics/index.htm#StandardModel
The Lagrangian for the Standard Model is written out in full here.
The primary novelty of the approach adopted here is the deeper
analysis of the fermionic space. Analogous to the situation in the
19th century in which Maxwell inserted the "displacement current" term
in the field law for electromagnetism i order to retain a charge
conservation law and bring out the symmetric structure of the
equations, the right neutrinos play the corresponding role in the
present situation. Here, the symmetric structure that emerges is that,
with the inclusion of the extra terms, the fermion space factors
significantly. By employing this symmetric structure, the Lagrangian
may be written in a substantially more transparent fashion. Two bases
for fermion space will be developed here: the HYPERCOLOR BASIS and the
CASIMIR BASIS. The Standard Model, itself, is included as a special
case within an enveloping generalization of Yang-Mills-Higgs theories
that provides room for future extension.
In particular, the Yukawa sector is developed from first principles
and the conversion from the charge to mass eigenstates is worked out
in detail.
Finally, the terms involving gravitational interaction are included.
.
- References:
- Where's Waldo in the Standard Model?
- From: sweetser@xxxxxxxxxxxx
- Where's Waldo in the Standard Model?
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