"Bosonization"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
| 1번째 줄: | 1번째 줄: | ||
<h5>introduction</h5> | <h5>introduction</h5> | ||
| − | * Bosonization is a nonperturbative method | + | * 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. | * 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/%7Ekomnik/ws1011.html http://www.thphys.uni-heidelberg.de/~komnik/ws1011.html] | |
| − | |||
| − | http://www. | ||
| − | + | [http://en.wikipedia.org/wiki/Bosonization ] | |
| − | |||
| − | [http:// | ||
| − | |||
| − | |||
| − | + | <h5>Tomonaga-Luttinger model</h5> | |
| − | + | * The Tomonaga-Luttinger (TL) model, a continuum theory of interacting fermions, can be translated into a theory of noninteracting bosons and solved exactly | |
| 28번째 줄: | 22번째 줄: | ||
| − | <h5> | + | <h5>Thirring model</h5> |
| − | + | * [[Thirring model]] | |
| 38번째 줄: | 32번째 줄: | ||
<h5>CFT and bosonization</h5> | <h5>CFT and bosonization</h5> | ||
| − | 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) | + | * 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) |
| 84번째 줄: | 78번째 줄: | ||
<h5>expositions</h5> | <h5>expositions</h5> | ||
| + | * 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://www.scielo.br/scielo.php?script=sci_arttext&pid=s0103-97332003000100002 | ||
* http://arxiv.org/abs/cond-mat/9805275 | * http://arxiv.org/abs/cond-mat/9805275 | ||
2012년 8월 26일 (일) 10:20 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)
history
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://ncatlab.org/nlab/show/HomePage
experts on the field