I've calculated the conserved quantity for a boost or rotation of the Maxwell Lagrangian using the field form of Noether's theorem.(adsbygoogle = window.adsbygoogle || []).push({});

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

[tex]

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

[/tex]

Where the associated conservation statement is a zero divergence condition:

[tex]

\partial_\mu C^\mu = 0

[/tex]

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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**