"Quantum dilogarithm"의 두 판 사이의 차이

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imported>Pythagoras0
imported>Pythagoras0
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* http://arxiv.org/abs/hep-th/9611117  
 
* http://arxiv.org/abs/hep-th/9611117  
  
 
 
==근사 공식==
 
 
* <math>q=e^{-t}</math> and as the t goes 0 (i.e. as q goes to 1) :<math>\sum_{n=0}^{\infty}\frac{q^{\frac{A}{2}n^2+cn}}{(q)_n}\sim\exp(\frac{C}{t})</math>
 
 
여기서 C는 [http://pythagoras0.springnote.com/pages/4855791 로저스 다이로그 함수 (Roger's dilogarithm)] 의 어떤 값에서의 합
 
 
 
 
 
 
 
  
 
==Knot and invariants from quantum dilogarithm==
 
==Knot and invariants from quantum dilogarithm==
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** Kashaev, R. M., Modern Phys. Lett. A 10 (1995), 1409–1418
 
** Kashaev, R. M., Modern Phys. Lett. A 10 (1995), 1409–1418
  
 
  
 
  
 
==related items==
 
==related items==
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[[분류:개인노트]]
 
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[[분류:Number theory and physics]]
 
[[분류:Number theory and physics]]
 
[[분류:dilogarithm]]
 
[[분류:dilogarithm]]

2013년 7월 14일 (일) 13:13 판

introduction


Knot and invariants from quantum dilogarithm

  • [Kashaev1995]
  • a link invariant, depending on a positive integer parameter N, has been defined via three-dimensional interpretation of the cyclic quantum dilogarithm
  • The construction can be considered as an example of the simplicial (combinatorial) version of the three-dimensional TQFT
  • this invariant is in fact a quantum generalization of the hyperbolic volume invariant.
  • It is possible that the simplicialTQFT, defined in terms of the cyclic quantum dilogarithm, can be associated with quantum 2 + 1-dimensional gravity.


related items