QUANTUM GROUP GAUGE-THEORY ON CLASSICAL SPACES

被引：27

作者：

BRZEZINSKI, T ^{[1
]}

MAJID, S ^{[1
]}

机构：

[1] UNIV CAMBRIDGE PEMBROKE COLL,CAMBRIDGE CB2 1RF,ENGLAND

来源：

PHYSICS LETTERS B | 1993年 / 298卷 / 3-4期

关键词：

D O I：

10.1016/0370-2693(93)91830-G

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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. 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 as claimed by K. Wu and R.-J. Zhang [Commun. Theor. Phys. 17 (1992) 175] and by A.P. Isaev and Z. Popowicz [Phys. Lett. B 281 (1992) 2711 is not appropriate.

引用

页码：339 / 343

页数：5