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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
TMF, 2004 Volume 139, Number 1, Pages 145–157 (Mi tmf48)
Space of Hermitian Triples and Ashtekar–Isham Quantization

N. A. Tyurin

Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

Abstract: We generalize the Ashtekar–Isham construction for quantizing gauge fields to the case where the configuration variables belong to the space of Hermitian triples, not Hermitian connections.

Keywords: Hermitian connection, Ashtekar–Isham construction, space of Hermitian triples.

DOI: 10.4213/tmf48


 English version: Theoretical and Mathematical Physics, 2004, 139:1, 571–581

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© Steklov Math. Inst. of RAS, 2024