In this paper we take the view that gauge fields can be considered as chiral fields on a loop space, both in classical and in quantum theories. As a result, gauge interactions are interpreted as propagation of the infinitely thin rings formed by the lines of color-electric flux. Equations of motion governing this propagation are derived. In the three-dimensional case some higher conserved currents in the loop space are obtained, indicating that hidden symmetry is present in the theory. In the four-dimensional case the question of hidden symmetry remains unclear. Ward identities in the loop space are obtained and their mathematical structure is investigated. Possible extensions and applications of these results are discussed.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics