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STRUCTURE OF EXTENDED LOOP WAVE FUNCTION IN QUANTUM GRAVITY AND OPERATOR FORMALISM

2004/05/19 by Michiyoshi Saito, MICHIYOSHI SAITO, Hujio Noda +1
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1142/s0217751x05019993

published as Int.J.Mod.Phys. A20 (2005) 907-922 · 20 pages including 2 tables

arxiv created 2004/05/19 · openalex publication_date 2005/02/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The structure of extended loop wave function is investigated in terms of the operator formalism. It is found that the extended loop wave function is characterized by the family number and classified by the partition of the family number. It is pointed out that the constraints to the extended loop function in quantum gravity exhibit a hierarchy structure.

Citations