BRST algebra on quantum bundles

✍ Scribed by H.-D. Doebner; M. Tahiri

• Book ID: 104342948
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 62 KB
• Volume: 36
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/s0393-0440(00)00016-4

✦ Synopsis

A quantum analogue of the BRST algebra is given. The method is based on the construction of a differential algebra of generalized quantum forms carrying a bigraduation. This is realized over the base quantum space of a quantum vector bundle associated to a quantum principal bundle. Using this approach, we introduce the quantum gauge, ghost and matter fields via connections and sections. Imposing constraints on the curvatures leads to the quantum BRST transformations of these fields.