Unitary Gauge Groups Research Articles

The Topolosical Origins of Gauge Anomalies

In addition to the recent discovery that the Chern-Simons secondary classes are the topological origins generating special unitary gauge group anomalies, it is shown that some special orthogonal gauge group anomalies can also be generated, from the Pontrjagin and the Euler secondary classes. The common differential geometrical and topological background are explained as well.

A description of instantons

An explicit description is given for all self-dual Euclidean Yang-Mills fields and their parameter spaces in the theory with unitary gauge group of arbitrary rank.