SU(3) matrices

In latqcdtools/math/SU3.py one finds the SU3 class, which inherits from the numpy.matrix class. This way you can get all the nice, fast features of numpy, like already defined matrix multiplication, transposes, and so on.

The SU3 class also has some extra functionality, most importantly given the first two rows, the method su3unitarize will use unitarity to compute the last one. This allows reconstruction of compressed configurations in the confReader class, described here. The unitarization can be compiled with numbaON(), as described here.

You can instantiate an SU(3) matrix object as

U = SU3()

This object is needed especially for gaugeField objects, described here. Some other implemented methods special for SU3 objects include

• setToRandom: Sets to a random group element.

• isSU3: Checks that it has determinant 1 and is unitary.