"Bosonization"의 두 판 사이의 차이

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* Rao, Sumathi, and Diptiman Sen. ‘An Introduction to Bosonization and Aome of Its Applications’. arXiv:cond-mat/0005492, 29 May 2000. http://arxiv.org/abs/cond-mat/0005492.
 
* Rao, Sumathi, and Diptiman Sen. ‘An Introduction to Bosonization and Aome of Its Applications’. arXiv:cond-mat/0005492, 29 May 2000. http://arxiv.org/abs/cond-mat/0005492.
 
* Sénéchal, D. ‘An Introduction to Bosonization’. arXiv:cond-mat/9908262, 18 August 1999. http://arxiv.org/abs/cond-mat/9908262.
 
* Sénéchal, D. ‘An Introduction to Bosonization’. arXiv:cond-mat/9908262, 18 August 1999. http://arxiv.org/abs/cond-mat/9908262.
* Von Delft, Jan, and Herbert Schoeller. ‘Bosonization for Beginners --- Refermionization for Experts’. Annalen Der Physik 7, no. 4 (November 1998): 225–305. doi:10.1002/(SICI)1521-3889(199811)7:4<225::AID-ANDP225>3.0.CO;2-L.
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* Von Delft, Jan, and Herbert Schoeller. ‘Bosonization for Beginners --- Refermionization for Experts’. Annalen Der Physik 7, no. 4 (November 1998): 225–305. doi:[http://arxiv.org/abs/cond-mat/9805275 10.1002/(SICI)1521-3889(199811)7:4<225::AID-ANDP225>3.0.CO;2-L].
 
 
 
 
  

2015년 2월 26일 (목) 01:56 판

introduction

  • Bosonization is a nonperturbative method
  • Bosonization is a method for translating a fermionic theory into a bosonic theory, and eventually retranslating part of the latter into a new fermionic language (cf. the Luther-Emery model or the use of Majorana fermions).
  • This translation process is exact in the continuum limit, but does not warrant an exact solution of the model, except in a few exceptional cases (e.g. the TL model).
  • For the rest, one must rely on renormalization-group analyses, which generally complement bosonization.

 

Tomonaga-Luttinger model

  • The Tomonaga-Luttinger (TL) model, a continuum theory of interacting fermions, can be translated into a theory of noninteracting bosons and solved exactly

 

 

Thirring model

 

 

CFT and bosonization

  • The intimate relation between CFT and the conventional bosonization had became manifest when Dotsenko and Fateev represented the CFT correlation functions in terms of correlators of bosonic exponents (1984)

 

 

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