Application of prismatic constructions to gauge field theory

Gauge Field Theory Models

Supersymmetric U(1) Gauge Field Theory With Massive Gauge Field

According to the conventional notion, if a system has strict gauge symmetry, the mass of gauge field in the lagrangian must be zero [1 ]. With the development of the gauge theory, this notion has already been changed. In the gauge theory developed by Wu [2 ], under the precondition that the system has strict gauge symmetry, the theory contains massive gauge bosons. In fact, this result holds no...

Gauge theory of the string geodesic field.

A relativistic string is usually represented by the Nambu-Goto action in terms of the extremal area of a 2-dimensional timelike submanifold of Minkowski space. Alternatively, a family of classical solutions of the string equation of motion can be globally described in terms of the associated geodesic field. In this paper we propose a new gauge theory for the geodesic field of closed and open st...

The Quantization of Anomalous Gauge Field Theory

ABSTRACT We discuss the so called gauge invariant quantization of anomalous gauge field theory, originally due to Faddeev and Shatashvili. It is pointed out that the further non invariance of relevant path integral measures poses a problem when one tries to translate it to BRST formalism. The method by which we propose to get around of this problem introduces certain arbitrariness in the model....

Non-Abel Gauge Field Theory With Massive Gauge Bosons

In 1954, Yang and Mills founded the non-Abel gauge field theory [1 ]. Since then, the gauge field theory has developed greatly, and has been widely applied to elementary particle theory. Now, we believe that, four kinds of fundamental interactions in nature are all gauge interactions and can be described by gauge field theories. It is generally believed that the principle of local gauge invaria...