Treffer: QUANTUM DILOGARITHM: Quantum dilogarithm
Title:
QUANTUM DILOGARITHM: Quantum dilogarithm
Authors:
Source:
Fifty Years of Mathematical Physics ISBN: 9789814340953
Publication Status:
Preprint
Publisher Information:
World Scientific Pub Co Pte Ltd, 1994.
Publication Year:
1994
Subject Terms:
High Energy Physics - Theory, Elementary classical functions, star-triangle relation, dilogarithm identity, Miscellaneous applications of number theory, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, 01 natural sciences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), quantum Euler dilogarithm, quantum identity, 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory, Exactly solvable models, Bethe ansatz
Document Type:
Buch
Part of book or chapter of book<br />Article<br />Other literature type
File Description:
application/xml
Language:
English
ISSN:
1793-6632
0217-7323
0217-7323
DOI:
10.1142/9789814340960_0035
DOI:
10.1142/s0217732394000447
DOI:
10.48550/arxiv.hep-th/9310070
Access URL:
Rights:
arXiv Non-Exclusive Distribution
Accession Number:
edsair.doi.dedup.....8440c9ae12362afd7ee869e39b31905d
Database:
OpenAIRE
Weitere Informationen
A quantum generalization of Rogers’ five-term, or “pentagon” dilogarithm identity is suggested. It is shown that the classical limit gives the usual Rogers’ identity. The case where the quantum identity is realized in finite-dimensional space is also considered and the quantum dilogarithm is constructed as a function on Fermat curve, while the identity itself is equivalent to the restricted star-triangle relation introduced by Bazhanov and Baxter.