Gamma matrices

The gamma matrix basis used is:


\begin{displaymath}
\begin{array}{ccccccc}
\gamma_1
&=& \left(\begin{array}{rrr...
...&0
\end{array}\right)
&=& \sigma_1\!\otimes\!1\\
\end{array}\end{displaymath}

This is a chiral basis and is the same basis currently used in QDP++.

For functions that multiply by a gamma matrix the gamma matrix is specified by an integer between 0 and 15. The mapping from the integer to a general gamma matrix is:

\begin{displaymath}
\Gamma(n) = \gamma_1^{n_0} \gamma_2^{n_1} \gamma_3^{n_2} \gamma_4^{n_3}
\end{displaymath}

where the binary representation of n is n3 n2 n1 n0.



James Osborn 2006-06-25