This is note about O(3,3) space-time. The related article is:
Here's some background:
In O(3,1) space-time (Minkowski), the six generators of rotations and boosts can form an SU(2) x SU(2) Lie algebra. This algebra is then used generically by all the...
I have a question and I was hoping for some help. The reasoning goes something like this:
There appears to be two fundamental types of coordinates
x - space
t - time
and there appears to be three types of fundamental transformations
I was looking at the so(3,3) Lie algebra which has 3 temporal rotation generators as well as the normal 3 spatial rotation generators. When I try to use Noether's Theorem to determine what the conserved quantity is, due to invariance under temporal rotations, I seem to get an integral where...
I guess my question is really: is there redundancy in QCD. In particular, is it possible to use so(4)=su(2)xsu(2) as the gauge group for QCD instead of su(3). I only have a couple of qualitative observations to suggest this speculation.
The first is the relationship between su(3) and so(4). If...