"Modular quantum dilogarithm"의 두 판 사이의 차이

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(새 문서: ==introduction== * introduced by Fadeev * called the modular quantum dilogarithm or regularized quantum dilogarithm ==articles== * Johnson, P. R. 1996. “Exact Quantum S-matrices f...)
 
 
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==introduction==
 
==introduction==
* introduced by Fadeev
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* introduced by [[Ludvig Faddeev]]
 
* called the modular quantum dilogarithm or regularized quantum dilogarithm
 
* called the modular quantum dilogarithm or regularized quantum dilogarithm
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* applications
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** [[S-matrix of the quantum sine-Gordon model]]
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* definition : <math>b\in \mathbb{C}</math> with non-zero real part and <math>z\in \mathbb{C}</math>
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:<math>
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\Phi_{b}(z)=\exp\left(-\frac{1}{4}\int \frac{e^{-2zx\sqrt{-1}}}{\sinh(xb) \sinh(x/b)}\, \frac{dx}{x}\right)
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</math>
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==properties==
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===symmetries===
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===recurrence relation===
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===unitarity===
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===relation with other quantum dilogarithms===
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==related items==
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* [[Yang-Baxter equation (YBE)]]
  
  
 
==articles==
 
==articles==
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* D. Chicherin, V. P. Spiridonov, The hyperbolic modular double and Yang-Baxter equation, arXiv:1511.00131 [math-ph], October 31 2015, http://arxiv.org/abs/1511.00131
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* Ip, Ivan C. H. “On Tensor Product Decomposition of Positive Representations of <math>\mathcal{U}_{q\tilde{q}}(\mathfrak{sl}(2,\mathbb{R}))</math>.” arXiv:1511.07970 [math], November 25, 2015. http://arxiv.org/abs/1511.07970.
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* Chicherin, D., and V. P. Spiridonov. “The Hyperbolic Modular Double and Yang-Baxter Equation.” arXiv:1511.00131 [hep-Th, Physics:math-Ph], October 31, 2015. http://arxiv.org/abs/1511.00131.
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* Chicherin, D., and S. Derkachov. ‘Matrix Factorization for Solutions of the Yang-Baxter Equation’. arXiv:1502.07923 [hep-Th, Physics:math-Ph], 27 February 2015. http://arxiv.org/abs/1502.07923.
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* Garoufalidis, Stavros, and Rinat Kashaev. ‘Evaluation of State Integrals at Rational Points’. arXiv:1411.6062 [hep-Th], 21 November 2014. http://arxiv.org/abs/1411.6062.
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* Faddeev, Ludwig D., and Leon A. Takhtajan. “On the Spectral Theory of One Functional-Difference Operator from Conformal Field Theory.” arXiv:1408.0307 [hep-Th, Physics:math-Ph], August 1, 2014. http://arxiv.org/abs/1408.0307.
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* http://arxiv.org/abs/1305.4291
 
* Johnson, P. R. 1996. “Exact Quantum S-matrices for Solitons in Simply-laced Affine Toda Field Theories.” arXiv:hep-th/9611117 (November 15). doi:10.1016/S0550-3213(97)00239-3. http://arxiv.org/abs/hep-th/9611117.
 
* Johnson, P. R. 1996. “Exact Quantum S-matrices for Solitons in Simply-laced Affine Toda Field Theories.” arXiv:hep-th/9611117 (November 15). doi:10.1016/S0550-3213(97)00239-3. http://arxiv.org/abs/hep-th/9611117.
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** https://docs.google.com/file/d/0B8XXo8Tve1cxUXc3WXNKbjEycHc/edit
 
* Faddeev, L. 1995. “Discrete Heisenberg-Weyl Group and Modular Group.” arXiv:hep-th/9504111 (April 21). doi:10.1007/BF01872779. http://arxiv.org/abs/hep-th/9504111.
 
* Faddeev, L. 1995. “Discrete Heisenberg-Weyl Group and Modular Group.” arXiv:hep-th/9504111 (April 21). doi:10.1007/BF01872779. http://arxiv.org/abs/hep-th/9504111.
 
* Faddeev, L. D. 1994. “Current-Like Variables in Massive and Massless Integrable Models.” arXiv:hep-th/9408041 (August 7). http://arxiv.org/abs/hep-th/9408041.
 
* Faddeev, L. D. 1994. “Current-Like Variables in Massive and Massless Integrable Models.” arXiv:hep-th/9408041 (August 7). http://arxiv.org/abs/hep-th/9408041.
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[[분류:migrate]]
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==메타데이터==
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===위키데이터===
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* ID :  [https://www.wikidata.org/wiki/Q7269036 Q7269036]
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===Spacy 패턴 목록===
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* [{'LOWER': 'quantum'}, {'LEMMA': 'dilogarithm'}]

2021년 2월 17일 (수) 02:16 기준 최신판

introduction

\[ \Phi_{b}(z)=\exp\left(-\frac{1}{4}\int \frac{e^{-2zx\sqrt{-1}}}{\sinh(xb) \sinh(x/b)}\, \frac{dx}{x}\right) \]

properties

symmetries

recurrence relation

unitarity

relation with other quantum dilogarithms

related items


articles

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 'quantum'}, {'LEMMA': 'dilogarithm'}]