Covariant gamma matrices are defined by(adsbygoogle = window.adsbygoogle || []).push({});

$$\gamma_{\mu}=\eta_{\mu\nu}\gamma^{\nu}=\{\gamma^{0},-\gamma^{1},-\gamma^{2},-\gamma^{3}\}.$$

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The gamma matrix ##\gamma^{5}## is defined by

$$\gamma^{5}\equiv i\gamma^{0}\gamma^{1}\gamma^{2}\gamma^{3}.$$

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Is the covariant matrix ##\gamma_{5}## then defined by

$$\gamma_{5} = i\gamma_{0}(-\gamma_{1})(-\gamma_{2})(-\gamma_{3})?$$

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# A Covariant gamma matrices

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