Decomposition Theory of Gauge Potential and Its Application

Key words: 
• gauge field /
• geometry algebra /
• Euler characteristic /
• topological curre

Abstract: The recent study of decomposition of gauge fields by means of methods of the geometric algebra was reviewed in detail. The new results in the study of the Euler characteristic by using the decomposition of gauge fields were described. On the other hand, some recent application fields of the decomposition of gauge fields and topological current theory were introduced. The new developments of the investigation in the area have also shown that the decomposition of gauge fields will provide...