- #1
jarod765
- 38
- 0
I know that gauging a lie-goup with a kinetic term of the form:
\begin{equation}
\Tr{F^{\mu \nu} F_{\mu \nu} }
\end{equation}
Is not allowed for a non-compact lie group because it does not lead to a positive definite Hamiltonian. I was wondering if anyone knew of a general way to gauge non-compac lie groups. I know there must be a way since the Lorentz group can be gauged to give the Einstein Hilbert action.
\begin{equation}
\Tr{F^{\mu \nu} F_{\mu \nu} }
\end{equation}
Is not allowed for a non-compact lie group because it does not lead to a positive definite Hamiltonian. I was wondering if anyone knew of a general way to gauge non-compac lie groups. I know there must be a way since the Lorentz group can be gauged to give the Einstein Hilbert action.