To define the Yang-Mills Lagrangian, we need to define the ‘Trace’ of an End(E) valued form. Recall that the Trace of a matrix is the sum of its diagonal enTries. The Trace is independent of the choice of basis – an invariant notion that is independent of the choice of basis. A definition of the… Continue reading Yang Mills
Tag: Mathematical Physics
On the Mathematics of the Berry Phase
I tried to upload this to my wordpress however it wasn’t working. So here is a link to a pdf file of some notes and observations I wrote over the course of a few years on the Geometric Phase. Mathematics of the Geometric Phase by no means is this original, and there are many excellent… Continue reading On the Mathematics of the Berry Phase