Generalized Holonomies

• Type: Article in International Scientific Journal
• Date: 1998

Authors

João Tavares (Author) FCUP

Journal

Title: Journal of Geometry and Physics

Vol. 26

Pages: 311-328

ISSN: 0393-0440

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-001-7K3

Abstract (EN): We study some issues related to the notion of generalized holonomies, providing a rigorous mathematical framework where to discuss early heuristic ideas from the physics literature, mainly due to R. Gambini and its colaborators, who have tryed to formulate an “Extended Loop Representation” of Quantum Gravity in Ashtekar variables. We also define a BACH (Baker-Campbell-Hausdorff) series for the formal generalized holonomy and prove its convergence in some particular cases. Finally we discuss the issue of covariance of generalized holonomies, and prove the covariance for nilpotent connections.

Language: English

Type (Professor's evaluation): Scientific