Hi guys, can you help me with this?(adsbygoogle = window.adsbygoogle || []).push({});

I'm supposed to calculate the energy momentum for the classic Maxwell Lagrangian, [itex]\mathcal{L}=-\frac{1}{4}F^{\mu\nu}F_{\mu\nu}[/itex] , where [itex]F_{\mu\nu}=\partial_\mu A_\nu-\partial_\nu A_\mu[/itex]

with the well known formula:

[tex]T^{\sigma\rho}=\frac{\delta\mathcal{L}}{\delta \partial_{\sigma} A_\gamma}\partial^\rho A_\gamma-\mathcal{L}g^{\sigma\rho}[/tex]

The point is that i'm not sure on how should I calculate the [tex]\frac{\delta\mathcal{L}}{\delta\partial_\sigma A_\gamma}\partial^\rho A_\gamma=-\frac{1}{4}\frac{\delta\left[(\partial^\mu A^\nu-\partial^\nu A^\mu)(\partial_\mu A_\nu -\partial_\nu A_\mu)\right]}{\delta\partial_\sigma A_\gamma}\partial^\rho A_\gamma[/tex] term; i cannot figure out on which component should i derive.

Can you help me?

**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!

# Calculating the energy-momentum tensor for Maxwell Lagrangian

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