Physical significance conserved quantity? (Noether's with boosted Maxwell field Lag.)

1. Oct 30, 2008

Peeter

I've calculated the conserved quantity for a boost or rotation of the Maxwell Lagrangian using the field form of Noether's theorem.

If I calculated right, the components of a conserved four vector "current" considering boosts along in the x axis appear to be:

$$C^\mu = \eta^{\mu\nu} (F_{\nu 0} A_1 - F_{\nu 1} A_0)$$

Where the associated conservation statement is a zero divergence condition:

$$\partial_\mu C^\mu = 0$$

Similar to the Lorentz force Lagrangian where one ends up with a four-vector torque like result for boost/rotation transformation, this has the looks of a torque or field angular momentum or inertial tensor or something.

Does this quantity have a name or any physical significance, or it is just the end result of math games with Noether's theorem?

Last edited: Oct 30, 2008