Generalized Coordinates on the Phase space of Yang-Mills Theories

• Type: Article in International Scientific Journal
• Date: 1995

Authors

João Tavares (Author) FCUP

Journal

Title: Classical and Quantum Gravity

Vol. 12

Pages: 1191-1198

ISSN: 0264-9381

Publisher: Institute of Physics Publishing

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Abstract (EN): We study the suitability of complex Wilson loop variables as (generalized) coordinates on the physical phase space of SU(2)-Yang-Mills theory. To this end, we construct a natural one-to-one map from the physical phase space of the Yang-Mills theory with compact gauge group G to a subspace of the physical configuration space of the complex $G^\C$-Yang-Mills theory. Together with a recent result by Ashtekar and Lewandowski this implies that the complex Wilson loop variables form a complete set of generalized coordinates on the physical phase space of SU(2)-Yang-Mills theory. They also form a generalized canonical loop algebra. Implications for both general relativity and gauge theory are discussed.

Language: English

Type (Professor's evaluation): Scientific