- #1
baranas
- 14
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Can anyone help me with the expansion of the integral
[tex]I_{\mu\nu}=\int d^{4}l\frac{4l_{\mu}l_{\nu}-g_{\mu\nu}l^2}{(l^{2}-B+i\epsilon)^{3}}[/tex].
I would like to know how it could be expanded into two terms
[tex]I_{\mu\nu}=\frac{1}{2}\int d^{4}l\frac{\partial^2}{\partial l^\mu \partial l^\nu}\frac{1}{l^{2}-B+i\epsilon}-g_{\mu\nu}\int d^{4}l\frac{B}{(l^{2}-B+i\epsilon)^{3}}[/tex]-.
Another question is how can i calculate the first term to have result
[tex]-g_{\mu\nu}i\pi^{2}/2[/tex].
P.S. I am inexperienced with tensor calculations. I would be grateful for any help.
[tex]I_{\mu\nu}=\int d^{4}l\frac{4l_{\mu}l_{\nu}-g_{\mu\nu}l^2}{(l^{2}-B+i\epsilon)^{3}}[/tex].
I would like to know how it could be expanded into two terms
[tex]I_{\mu\nu}=\frac{1}{2}\int d^{4}l\frac{\partial^2}{\partial l^\mu \partial l^\nu}\frac{1}{l^{2}-B+i\epsilon}-g_{\mu\nu}\int d^{4}l\frac{B}{(l^{2}-B+i\epsilon)^{3}}[/tex]-.
Another question is how can i calculate the first term to have result
[tex]-g_{\mu\nu}i\pi^{2}/2[/tex].
P.S. I am inexperienced with tensor calculations. I would be grateful for any help.
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