Non Relativistic Limit in QFT: a Wilson Renormalization Group Approach in the Minkowski Space
Autor(a) principal: | |
---|---|
Data de Publicação: | 2001 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Brazilian Journal of Physics |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332001000200006 |
Resumo: | We study the non relativistic limit of a model of fermions interacting through a Chern-Simons field, from a perspective that resembles the Wilson Renormalization Group (WRG) approach. The main difference of our approach to WRG is that instead of working in the Euclidean space, we directly work in Minkowski space. For the nonrelativistic limit this procedure admits a more direct interpretation of the results. As we will see, this modified WRG approach solves some difficulties, and gives a new understanding of non relativistic models that are not clear in the usual "classical" nonrelativistic (CNR) limit found in most text books. The method is general and our choice of the Chern-Simons as the gauge field is only for the sake of simplicity of illustration. |
id |
SBF-2_932887272c3e0f53330785584fe771d1 |
---|---|
oai_identifier_str |
oai:scielo:S0103-97332001000200006 |
network_acronym_str |
SBF-2 |
network_name_str |
Brazilian Journal of Physics |
repository_id_str |
|
spelling |
Non Relativistic Limit in QFT: a Wilson Renormalization Group Approach in the Minkowski SpaceWe study the non relativistic limit of a model of fermions interacting through a Chern-Simons field, from a perspective that resembles the Wilson Renormalization Group (WRG) approach. The main difference of our approach to WRG is that instead of working in the Euclidean space, we directly work in Minkowski space. For the nonrelativistic limit this procedure admits a more direct interpretation of the results. As we will see, this modified WRG approach solves some difficulties, and gives a new understanding of non relativistic models that are not clear in the usual "classical" nonrelativistic (CNR) limit found in most text books. The method is general and our choice of the Chern-Simons as the gauge field is only for the sake of simplicity of illustration.Sociedade Brasileira de Física2001-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332001000200006Brazilian Journal of Physics v.31 n.2 2001reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332001000200006info:eu-repo/semantics/openAccessSilva,A.J. daeng2002-03-05T00:00:00Zoai:scielo:S0103-97332001000200006Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2002-03-05T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false |
dc.title.none.fl_str_mv |
Non Relativistic Limit in QFT: a Wilson Renormalization Group Approach in the Minkowski Space |
title |
Non Relativistic Limit in QFT: a Wilson Renormalization Group Approach in the Minkowski Space |
spellingShingle |
Non Relativistic Limit in QFT: a Wilson Renormalization Group Approach in the Minkowski Space Silva,A.J. da |
title_short |
Non Relativistic Limit in QFT: a Wilson Renormalization Group Approach in the Minkowski Space |
title_full |
Non Relativistic Limit in QFT: a Wilson Renormalization Group Approach in the Minkowski Space |
title_fullStr |
Non Relativistic Limit in QFT: a Wilson Renormalization Group Approach in the Minkowski Space |
title_full_unstemmed |
Non Relativistic Limit in QFT: a Wilson Renormalization Group Approach in the Minkowski Space |
title_sort |
Non Relativistic Limit in QFT: a Wilson Renormalization Group Approach in the Minkowski Space |
author |
Silva,A.J. da |
author_facet |
Silva,A.J. da |
author_role |
author |
dc.contributor.author.fl_str_mv |
Silva,A.J. da |
description |
We study the non relativistic limit of a model of fermions interacting through a Chern-Simons field, from a perspective that resembles the Wilson Renormalization Group (WRG) approach. The main difference of our approach to WRG is that instead of working in the Euclidean space, we directly work in Minkowski space. For the nonrelativistic limit this procedure admits a more direct interpretation of the results. As we will see, this modified WRG approach solves some difficulties, and gives a new understanding of non relativistic models that are not clear in the usual "classical" nonrelativistic (CNR) limit found in most text books. The method is general and our choice of the Chern-Simons as the gauge field is only for the sake of simplicity of illustration. |
publishDate |
2001 |
dc.date.none.fl_str_mv |
2001-06-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332001000200006 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332001000200006 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0103-97332001000200006 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
dc.source.none.fl_str_mv |
Brazilian Journal of Physics v.31 n.2 2001 reponame:Brazilian Journal of Physics instname:Sociedade Brasileira de Física (SBF) instacron:SBF |
instname_str |
Sociedade Brasileira de Física (SBF) |
instacron_str |
SBF |
institution |
SBF |
reponame_str |
Brazilian Journal of Physics |
collection |
Brazilian Journal of Physics |
repository.name.fl_str_mv |
Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF) |
repository.mail.fl_str_mv |
sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br |
_version_ |
1754734859406802944 |