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(1) |
= |
4 |
(9.1) |
( ) |
= |
0 |
(9.2) |
(![$\displaystyle \gamma^{\mu}_{}$](img450.gif) ) |
= |
4g![$\scriptstyle \mu$](img452.gif) ![$\scriptstyle \nu$](img453.gif) |
(9.3) |
(![$\displaystyle \gamma^{\mu}_{}$](img450.gif) ![$\displaystyle \gamma^{\nu}_{}$](img451.gif) ![$\displaystyle \gamma^{\rho}_{}$](img454.gif) ) |
= |
4(g![$\scriptstyle \mu$](img452.gif) g![$\scriptstyle \rho$](img456.gif) - g![$\scriptstyle \mu$](img452.gif) g![$\scriptstyle \nu$](img453.gif) + g![$\scriptstyle \mu$](img452.gif) g![$\scriptstyle \nu$](img453.gif) ) |
(9.4) |
( ) |
= |
0 |
(9.5) |
(![$\displaystyle \gamma^{\mu}_{}$](img450.gif) ![$\displaystyle \gamma^{\nu}_{}$](img451.gif) ) |
= |
0 |
(9.6) |
(![$\displaystyle \gamma^{\mu}_{}$](img450.gif) ![$\displaystyle \gamma^{\nu}_{}$](img451.gif) ![$\displaystyle \gamma^{\rho}_{}$](img454.gif) ![$\displaystyle \gamma^{\sigma}_{}$](img455.gif) ) |
= |
-4i![$\displaystyle \varepsilon^{\mu \nu \rho \sigma}_{}$](img459.gif) |
(9.7) |
(![$\displaystyle \gamma^{\mu}_{}$](img450.gif) ![$\displaystyle \gamma^{\nu}_{}$](img451.gif) ![$\displaystyle \gamma^{\rho}_{}$](img454.gif) ... ) |
= |
( ... ![$\displaystyle \gamma^{\sigma}_{}$](img455.gif) ![$\displaystyle \gamma^{\rho}_{}$](img454.gif) ![$\displaystyle \gamma^{\mu}_{}$](img450.gif) ... ) |
(9.8) |
![$\displaystyle \gamma^{\mu}_{}$](img450.gif) ![$\displaystyle \gamma_{\nu}^{}$](img460.gif) |
= |
4 |
(9.9) |
![$\displaystyle \gamma^{\mu}_{}$](img450.gif) ![$\displaystyle \gamma^{\nu}_{}$](img451.gif) ![$\displaystyle \gamma_{\mu}^{}$](img461.gif) |
= |
-2![$\displaystyle \gamma^{\nu}_{}$](img451.gif) |
(9.10) |
![$\displaystyle \gamma^{\mu}_{}$](img450.gif) ![$\displaystyle \gamma^{\nu}_{}$](img451.gif) ![$\displaystyle \gamma^{\rho}_{}$](img454.gif) ![$\displaystyle \gamma_{\mu}^{}$](img461.gif) |
= |
4g![$\scriptstyle \nu$](img453.gif) ![$\scriptstyle \rho$](img456.gif) |
(9.11) |
![$\displaystyle \gamma^{\mu}_{}$](img450.gif) ![$\displaystyle \gamma^{\nu}_{}$](img451.gif) ![$\displaystyle \gamma^{\rho}_{}$](img454.gif) ![$\displaystyle \gamma^{\sigma}_{}$](img455.gif) ![$\displaystyle \gamma_{\mu}^{}$](img461.gif) |
= |
-2![$\displaystyle \gamma^{\rho}_{}$](img454.gif) ![$\displaystyle \gamma^{\sigma}_{}$](img455.gif) ![$\displaystyle \gamma^{\nu}_{}$](img451.gif) |
(9.12) |
Next: 9.2 4-Dimensionaler -Tensor
Up: 9. Quantenfeldtheorie
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Alexander Wagner
2000-04-14