Non-Abelian gauge theory on q-Quantum spaces

[摘要] Gauge theories on q-deformed spaces are constructed using covariant derivatives. For this purpose a ''vielbein'' is introduced, which transforms under gauge transformations. The non-Abelian case is treated by establishing a connection to gauge theories on commutative spaces, i.e. by a Seiberg-Witten map. As an example we consider the Manin plane. Remarks are made concerning the relation between covariant coordinates and covariant derivatives.

[发布日期] 2002-08-23 [发布机构] Lawrence Berkeley National Laboratory

[关键词] Lawrence Berkeley Laboratory Gauge Theory Quantum Space;Derivatization;72 Physics Of Elementary Particles And Fields;Gauge Invariance;Gauge Theory Quantum Space