DYNAMICAL GAUGE ORBIT SPACE AND SUPERSPACE QED

It is possible to see that this geometric formalism broadens the situation in this instance.Indeed, the Pontryagin term and the Berry phase are related to chiral anomaly; this may be viewed as an extension of the Bohm-Ahranov effect.In this sense, a background magnetic field is effectively attached by inserting a direction vector or vortex line connected with a space-time point, and magnetic charge is effectively represented by the charge corresponding to the gauge field.Thus, there may be a connection between the geometry of a vortex line and that of a charged particle passing through the magnetic monopole's field.There is a hole in the gauge orbit space U/G in the 3+1 dimension since it has a ring-like structure.As a result, there is some magnetic flux passing through the gauge orbit space hole.Given this, it is reasonable to assume that the Bohm-Ahranov kind of effect in ordinary space is the source of the vacuum.Thus, it may be assumed that the same geometrical characteristic gives birth to the topology of the gauge orbit space in in 2+1 dimension, which corresponds to the topology of a sphere representing a magnetic monopole.We may take the disconnected gauge group into consideration, which would produce a non-Abelian gauge structure and render the theory asymptotically free.