Unified Gauge Theory |
Physics 5500: Gauge Theory Spring
2009 SER
122, 2:45 until the cows come home |
In
this course, we present a group-theoretic development of gauge theory that
avoids the differences usually found between ÒinternalÓ and ÒgravitationalÓ
gaugings. All the fundamental interactions can be treated in an identical
manner. The
course begins with the development of certain elements of the mathematical
background, including differential forms, Lie groups, Lie algebras, and fiber
bundles. Applications
will include Yang-Mills theories and the standard model, general relativity,
and conformal gauge theories. |