"Yang-Baxter equation (YBE)"의 두 판 사이의 차이

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**  factorizable S-matrix<br>
 
**  factorizable S-matrix<br>
  
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* <math>R_{12}R_{13}R_{23}=R_{23}R_{13}R_{12}</math><br>
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17번째 줄: 15번째 줄:
 
**  this set of equations is called the Yang Baxter equation<br>
 
**  this set of equations is called the Yang Baxter equation<br>
 
*  solutions to Yang-Baxter equation can lead to a construction of integrable models<br>
 
*  solutions to Yang-Baxter equation can lead to a construction of integrable models<br>
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2009년 8월 11일 (화) 11:09 판

introduction
  • exact solvability of many models is explained by commuting transfer matrices
  • manifestations of Yang-Baxter equation
    • factorizable S-matrix
  • \(R_{12}R_{13}R_{23}=R_{23}R_{13}R_{12}\)

 

integrability of a model
  • in the space of couplings a submanifold exists, such as that the transfer matrices corresponding to any two points P and P' on it commute
  • characterized by a set of equations on the Boltzmann weights
    • this set of equations is called the Yang Baxter equation
  • solutions to Yang-Baxter equation can lead to a construction of integrable models

 

 

transfer matrix
  • transfer matrix is builtup from matrices of  Boltzmann weights
  • we need the trasfer matrices coming from different set of Boltzman weights commute 
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Bethe ansatz

 

 

YBE for vertex models
  • Yang-Baxter equation
  • conditions satisfied by the Boltzmann weights of vertex models

 

 

R-matrix
  • spectral parameters
  • anistropy parameters

 

related items

 

 

표준적인 도서 및 추천도서

 

 

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