Bosonization

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.

• http://www.thphys.uni-heidelberg.de/~komnik/ws1011.html

 

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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

• 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)

 

 

history

• http://www.google.com/search?hl=en&tbs=tl:1&q=