Non-Abelian gauge theory on q-Quantum spaces

Schraml, Stefan L.

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;   

DOI  :  10.2172/803865
RP-ID  :  LBNL--51361
RP-ID  :  AC03-76SF00098
RP-ID  :  803865

美国|英语

来源: UNT Digital Library

【 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.