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

 

[1]

 

 

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=

 

 

 

 

encyclopedia

• http://en.wikipedia.org/wiki/Bosonization
• http://www.scholarpedia.org/
• http://eom.springer.de
• http://www.proofwiki.org/wiki/
• Princeton companion to mathematics(Companion_to_Mathematics.pdf)

 

 

books

• Bosonization and Strongly Correlated Systems
• http://www.worldscibooks.com/physics/2436.html
• 2011년 books and articles
• http://library.nu/search?q=
• http://library.nu/search?q=

 

 

expositions

• http://www.google.com/url?sa=t&source=web&cd=12&ved=0CCIQFjABOAo&url=http%3A%2F%2Fpeople.web.psi.ch%2Fmudry%2FLECTURES_NOTES%2FSPRING10%2Flecture13nup.ps&rct=j&q=bosonization%20massive%20Thirring%20model&ei=lacDTr6WH4jCsAOL7ODoDQ&usg=AFQjCNH-Nz2ksruq-_2OrpT_LlA1do30EA&sig2=FrEt3dJxzpgnD0vj15t3fQ&cad=rja
• http://www.scielo.br/scielo.php?script=sci_arttext&pid=s0103-97332003000100002
• http://arxiv.org/abs/cond-mat/9805275
• [2]http://front.math.ucdavis.edu/9908.0262
• [3]http://front.math.ucdavis.edu/0005.0492

 

 

articles

 

• http://www.ams.org/mathscinet
• http://www.zentralblatt-math.org/zmath/en/
• http://arxiv.org/
• http://www.pdf-search.org/
• http://pythagoras0.springnote.com/
• http://math.berkeley.edu/~reb/papers/index.html
• http://dx.doi.org/

 

 

question and answers(Math Overflow)

• http://mathoverflow.net/search?q=
• http://math.stackexchange.com/search?q=
• http://physics.stackexchange.com/search?q=

 

 

 

blogs

• 구글 블로그 검색
  
  • http://blogsearch.google.com/blogsearch?q=
    
  • http://blogsearch.google.com/blogsearch?q=
• http://ncatlab.org/nlab/show/HomePage

 

 

experts on the field

• http://arxiv.org/

 

 

links

• Detexify2 - LaTeX symbol classifier
• 수식표현 안내