Noncommutative field theory approach to the fractional quantum Hall effect with the filling factor one-half
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Sociedad Mexicana de Física A.C.
2007
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| _version_ | 1876456712598192128 |
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| author | Sendic Estrada-Jiménez |
| author_facet | Sendic Estrada-Jiménez |
| contents | Noncommutative field theory approach to the fractional quantum Hall effect with the filling factor one-half Sendic Estrada-Jiménez Hugo García-Compeán Física, Astronomía y Matemáticas Chern Simons theory Noncommutative field theory fractional quantum Hall effect The fractional quantum Hall effect is studied in the context of the noncommutative quantum field theory in (2+1) dimensions. For the fillingfactor º = 1=2, the noncommutative effective field theory incorporates a Chern-Simons gauge field (in the temporal gauge) coupled to thematter in the presence of a suitable quenched external magnetic field. After providing the Feynman rules for this system, the noncommutativecorrections to the self-energy of quasiparticles are computed, showing that it is zero at Hartree-Fock approximation. Finally, in this approachit is proved that the density ½ satisfies a noncommutative deformation of the w1-algebra. 2007 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57066207 https://www.redalyc.org/journal/570/57066207/ https://www.redalyc.org/journal/570/57066207/html/ https://www.redalyc.org/journal/570/57066207/57066207.epub https://www.redalyc.org/journal/570/57066207/movil en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.53 |
| format | Artículo científico |
| id | redalyc_57066207 |
| institution | Redalyc |
| language | en |
| publishDate | 2007 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Noncommutative field theory approach to the fractional quantum Hall effect with the filling factor one-half Sendic Estrada-Jiménez Física, Astronomía y Matemáticas Chern Simons theory Noncommutative field theory fractional quantum Hall effect Noncommutative field theory approach to the fractional quantum Hall effect with the filling factor one-half Sendic Estrada-Jiménez Hugo García-Compeán Física, Astronomía y Matemáticas Chern Simons theory Noncommutative field theory fractional quantum Hall effect The fractional quantum Hall effect is studied in the context of the noncommutative quantum field theory in (2+1) dimensions. For the fillingfactor º = 1=2, the noncommutative effective field theory incorporates a Chern-Simons gauge field (in the temporal gauge) coupled to thematter in the presence of a suitable quenched external magnetic field. After providing the Feynman rules for this system, the noncommutativecorrections to the self-energy of quasiparticles are computed, showing that it is zero at Hartree-Fock approximation. Finally, in this approachit is proved that the density ½ satisfies a noncommutative deformation of the w1-algebra. 2007 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57066207 https://www.redalyc.org/journal/570/57066207/ https://www.redalyc.org/journal/570/57066207/html/ https://www.redalyc.org/journal/570/57066207/57066207.epub https://www.redalyc.org/journal/570/57066207/movil en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.53 |
| title | Noncommutative field theory approach to the fractional quantum Hall effect with the filling factor one-half |
| topic | Física, Astronomía y Matemáticas Chern Simons theory Noncommutative field theory fractional quantum Hall effect |
| url | https://www.redalyc.org/articulo.oa?id=57066207 https://www.redalyc.org/journal/570/57066207/ https://www.redalyc.org/journal/570/57066207/html/ https://www.redalyc.org/journal/570/57066207/57066207.epub https://www.redalyc.org/journal/570/57066207/movil |