# Divergence of the Stress-Energy Tensor

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1. Oct 18, 2014

Im studying Quantum Field Theory as part of my undergraduate course, and am currently looking at Noether's Theorem which has led me to the following calculation of the divergence of the Stress-Energy Tensor. I'm having difficulty in seeing how we get from line (31) to line (32). Is the 2nd term in the square brackets zero? if so, why?

Thanks

2. Oct 18, 2014

### dextercioby

It appears they forgot 1/2 in line 31 in the square brackets for the first 2 terms.

3. Oct 18, 2014

Thanks, i thought this could be the case. Then inside the square brackets im assuming we can rearrange the second term so that the first and second term are the same. so we get 1/2*[...] + 1/2*[...] = [...]. and this [...] cancels with the second term of the whole line, resulting in line (32)?

4. Oct 18, 2014

### dextercioby

That's right. Just renaming indices summed over, a trick you should know.

5. Oct 18, 2014