|
|
| Line 1: |
Line 1: |
| In [[theoretical physics|theoretical]] [[condensed matter physics]], '''Bosonization''' is a mathematical procedure by which a system of interacting [[fermions]] in [[dimension|(1+1) dimensions]] can be transformed to a system of massless, non-interacting [[bosons]].<ref name=gogolin>{{cite book|last=Gogolin|first=Alexander O.|title=Bosonization and Strongly Correlated Systems|year=2004|publisher=Cambridge University Press|isbn=0-521-61719-7|url=http://books.google.com/books?id=BZDfFIpCoaAC&dq=Bosonization+and+Strongly+Correlated+Systems&lr=&source=gbs_navlinks_s}}</ref> The method of bosonization was conceived independently by particle physicists [[Sidney Coleman]] and [[Stanley Mandelstam]]; and condensed matter physicists [[Daniel Mattis]] and [[Alan Luther]] in 1975.<ref name=gogolin />
| | Hello. Let me introduce the writer. Her name is Emilia Shroyer but it's not the most female title out there. To gather cash is a factor that I'm completely addicted to. I am a meter reader but I plan on altering it. California is exactly where I've always been residing and I adore each working day living here.<br><br>Here is my homepage: [http://www.adosphere.com/poyocum std home test] |
| | |
| The basic physical idea behind bosonization is that [[Dirac sea|particle-hole excitations]] are bosonic in character. However, it was shown by [[Sin-Itiro Tomonaga|Tomonaga]] in 1950 that this principle is only valid in one-dimensional systems.<ref name=senechal>{{cite journal|last=Sénéchal|first=David|title=An Introduction to Bosonization|journal=Theoretical Methods for Strongly Correlated Electrons|year=1999|series=CRM Series in Mathematical Physics|doi=10.1007/0-387-21717-7_4|url=http://www.springerlink.com/content/q8p7094320733111/}}</ref> Bosonization is an [[effective field theory]] that focuses on low-energy excitations.<ref name=glazman>{{cite book|last=Sohn|first=Lydia (ed.)|title=Mesoscopic electron transport|year=1997|publisher=Springer|isbn=0-7923-4737-4|url=http://arxiv.org/pdf/cond-mat/9610037v1.pdf}}</ref>
| |
| | |
| Two complex fermions <math>\psi,\bar\psi</math> are written as functions of a boson <math>\phi</math>
| |
| :<math>\bar\psi_-\psi_+ = :\exp(i\phi):,\qquad \bar\psi_-\psi_+ = :\exp(-i\phi):</math><ref>
| |
| In actuality, there is a [[cocycle]] prefactor to give correct (anti-)commutation relations with other fields under consideration.</ref>
| |
| while the inverse map is given by
| |
| :<math>\partial\phi=:\bar\psi\psi:</math>
| |
| All equations are [[normal-order]]ed. The changed statistics arises from [[anomalous dimension]]s of the fields.
| |
| | |
| ==References==
| |
| <references />
| |
| | |
| [[Category:Quantum field theory]]
| |
| [[Category:Condensed matter physics]]
| |
| | |
| {{quantum-stub}}
| |
Latest revision as of 23:57, 14 November 2014
Hello. Let me introduce the writer. Her name is Emilia Shroyer but it's not the most female title out there. To gather cash is a factor that I'm completely addicted to. I am a meter reader but I plan on altering it. California is exactly where I've always been residing and I adore each working day living here.
Here is my homepage: std home test