Braided quantum field theories and their symmetries

被引:24
|
作者
Sasai, Yuya [1 ]
Sasakura, Naoki [1 ]
机构
[1] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan
来源
PROGRESS OF THEORETICAL PHYSICS | 2007年 / 118卷 / 04期
关键词
D O I
10.1143/PTP.118.785
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Braided quantum field theories, proposed by Oeckl, can provide a framework for quantum field theories that possess Hopf algebra symmetries. In quantum field theories, symmetries lead to non-perturbative relations among correlation functions. We study Hopf algebra symmetries and such relations in the context of braided quantum field theories. We give the four algebraic conditions among Hopf algebra symmetries and braided quantum field theories that are required for the relations to hold. As concrete examples, we apply our analysis to the Poincare symmetries of two examples of noncommutative field theories. One is the effective quantum field theory of three-dimensional quantum gravity coupled to spinless particles formulated by Freidel and Livine, and the other is noncommutative field theory on the Moyal plane. We also comment on quantum field theory in k-Minkowski spacetime.
引用
收藏
页码:785 / 814
页数:30
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