GENERALIZED COORDINATES ON THE PHASE-SPACE OF YANG-MILLS THEORY

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

Authors

LOLL, R (Author) Other; MOURAO, JM (Author) Other; João Tavares (Author) FCUP

Journal

Title: Classical and Quantum Gravity

Vol. 12

Pages: 1191-1198

ISSN: 0264-9381

Publisher: Institute of Physics Publishing

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Other information

Authenticus ID: P-001-GXK

DOI: 10.1088/0264-9381/12/5/010

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

No. of pages: 8