proceeding further, we wrote down the action of the complete field+particle system and then used the variational techniques with respect to different cocordinates to get maxwell equations in four-dimensional form.symmetry arguments for gauge invariance yielded the continuity equation.the properties of the field tensor in 1+1 and 2+1 dim were also deduced.
What about the Bianchi identity in 1+1 and 1+2 dimensions? Does it exist? What does it look like?
ReplyDeleteWhat do the eom's of the fields look like in 1+1 and 1+2 dimensions?