Quantum Group Gauge Theory on Classical Spaces

Details Quantum Group Gauge Theory on Classical Spaces Quantum Group Gauge Theory on Classical Spaces

1992-10-05

arxiv.org/abs/hep-th/9210024v1

Phys.Lett.B298:339-343,1993

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LATEX, DAMTP/92-51

Scientific paper

10.1016/0370-2693(93)91830-G

We study the quantum group gauge theory developed elsewhere in the limit when the base space (spacetime) is a classical space rather than a general quantum space. We show that this limit of the theory for gauge quantum group $U_q(g)$ is isomorphic to usual gauge theory with Lie algebra $g$. Thus a new kind of gauge theory is not obtained in this way, although we do find some differences in the coupling to matter. Our analysis also illuminates certain inconsistencies in previous work on this topic where a different conclusion had been reached. In particular, we show that the use of the quantum trace in defining a Yang-Mills action in this setting is not appropriate.

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