- #1
Dixanadu
- 254
- 2
Hey guys,
So consider the following product of matrices:
[itex] (p_{1}^{\mu}\cdot p_{1}^{\prime\nu} -(p_{1}\cdot p_{1}')\eta^{\mu\nu}+p_{1}^{\nu}p_{1}^{\prime\mu})(p_{2\mu}p_{2\nu}'-(p_{2}\cdot p_{2}')\eta_{\mu\nu}+p_{2\nu}p_{2\mu}') [/itex]
where eta is the Minkowski metric.
I keep getting
[itex]2(p_{1}\cdot p_{2})(p_{1}'\cdot p_{2}')+2(p_{1}\cdot p_{2}')(p_{1}'\cdot p_{2}) - 3(p_{1}\cdot p_{1}')(p_{2}\cdot p_{2}')[/itex]
But apparently its wrong; I'm meant to get just
[itex]2(p_{1}\cdot p_{2})(p_{1}'\cdot p_{2}')+2(p_{1}\cdot p_{2}')(p_{1}'\cdot p_{2}) [/itex]
Cant figure it out for the life of me -- someone please help!
So consider the following product of matrices:
[itex] (p_{1}^{\mu}\cdot p_{1}^{\prime\nu} -(p_{1}\cdot p_{1}')\eta^{\mu\nu}+p_{1}^{\nu}p_{1}^{\prime\mu})(p_{2\mu}p_{2\nu}'-(p_{2}\cdot p_{2}')\eta_{\mu\nu}+p_{2\nu}p_{2\mu}') [/itex]
where eta is the Minkowski metric.
I keep getting
[itex]2(p_{1}\cdot p_{2})(p_{1}'\cdot p_{2}')+2(p_{1}\cdot p_{2}')(p_{1}'\cdot p_{2}) - 3(p_{1}\cdot p_{1}')(p_{2}\cdot p_{2}')[/itex]
But apparently its wrong; I'm meant to get just
[itex]2(p_{1}\cdot p_{2})(p_{1}'\cdot p_{2}')+2(p_{1}\cdot p_{2}')(p_{1}'\cdot p_{2}) [/itex]
Cant figure it out for the life of me -- someone please help!
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