kent davidge
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I was reading this pdf http://research.physics.illinois.edu/Publications/theses/copies/Bandyopadhyay/Chapter_3.pdf
I can show myself that ##\partial_\mu T^{\mu \nu} = 0## and ##\int T^{0 \nu} = \int \Theta^{0 \nu}## if ##T^{\mu \nu} = \Theta^{\mu \nu} + \partial_\alpha B^{\alpha \mu \nu}##. However I'm unable to see how ##T^{\mu \nu}## is related to the actual conserved current (not shown in the PDF) $$\frac{\partial \mathcal L}{\partial (\partial_0 \varphi)} S^{jk} \varphi (x) + (\Theta^{k0}x^j - \Theta^{j0}x^k)$$ Is it hard to show their relation?
I can show myself that ##\partial_\mu T^{\mu \nu} = 0## and ##\int T^{0 \nu} = \int \Theta^{0 \nu}## if ##T^{\mu \nu} = \Theta^{\mu \nu} + \partial_\alpha B^{\alpha \mu \nu}##. However I'm unable to see how ##T^{\mu \nu}## is related to the actual conserved current (not shown in the PDF) $$\frac{\partial \mathcal L}{\partial (\partial_0 \varphi)} S^{jk} \varphi (x) + (\Theta^{k0}x^j - \Theta^{j0}x^k)$$ Is it hard to show their relation?