Path-integral bosonization of a non-local interaction and its application to the study of 1d many-body systems
We extend the path-integral approach to bosonization to the case in which the fermionic interaction is non-local. In particular we obtain a completely bosonized version of a Thirring-like model with currents coupled by general (symmetric) bilocal potentials. The model contains the Tomonaga-Luttinger...
| Autores principales: | , , |
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| Formato: | Articulo Preprint |
| Lenguaje: | Inglés |
| Publicado: |
1995
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/123174 |
| Aporte de: |
| id |
I19-R120-10915-123174 |
|---|---|
| record_format |
dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Física Special case Physics Path integral formulation Spectrum (functional analysis) Generalization Bosonization Many-body problem Non local Theoretical physics Fermion Quantum mechanics Many body |
| spellingShingle |
Física Special case Physics Path integral formulation Spectrum (functional analysis) Generalization Bosonization Many-body problem Non local Theoretical physics Fermion Quantum mechanics Many body Naón, Carlos María von Reichenbach, M. C. Trobo, Marta Liliana Path-integral bosonization of a non-local interaction and its application to the study of 1d many-body systems |
| topic_facet |
Física Special case Physics Path integral formulation Spectrum (functional analysis) Generalization Bosonization Many-body problem Non local Theoretical physics Fermion Quantum mechanics Many body |
| description |
We extend the path-integral approach to bosonization to the case in which the fermionic interaction is non-local. In particular we obtain a completely bosonized version of a Thirring-like model with currents coupled by general (symmetric) bilocal potentials. The model contains the Tomonaga-Luttinger model as a special case; exploiting this fact we study the basic properties of the 1d spinless fermionic gas: fermionic correlators, the spectrum of collective modes, etc. Finally, we discuss the generalization of our procedure to the non-abelian case, thus providing a new tool to be used in the study of 1d many-body systems with spin-flipping interactions. |
| format |
Articulo Preprint |
| author |
Naón, Carlos María von Reichenbach, M. C. Trobo, Marta Liliana |
| author_facet |
Naón, Carlos María von Reichenbach, M. C. Trobo, Marta Liliana |
| author_sort |
Naón, Carlos María |
| title |
Path-integral bosonization of a non-local interaction and its application to the study of 1d many-body systems |
| title_short |
Path-integral bosonization of a non-local interaction and its application to the study of 1d many-body systems |
| title_full |
Path-integral bosonization of a non-local interaction and its application to the study of 1d many-body systems |
| title_fullStr |
Path-integral bosonization of a non-local interaction and its application to the study of 1d many-body systems |
| title_full_unstemmed |
Path-integral bosonization of a non-local interaction and its application to the study of 1d many-body systems |
| title_sort |
path-integral bosonization of a non-local interaction and its application to the study of 1d many-body systems |
| publishDate |
1995 |
| url |
http://sedici.unlp.edu.ar/handle/10915/123174 |
| work_keys_str_mv |
AT naoncarlosmaria pathintegralbosonizationofanonlocalinteractionanditsapplicationtothestudyof1dmanybodysystems AT vonreichenbachmc pathintegralbosonizationofanonlocalinteractionanditsapplicationtothestudyof1dmanybodysystems AT trobomartaliliana pathintegralbosonizationofanonlocalinteractionanditsapplicationtothestudyof1dmanybodysystems |
| bdutipo_str |
Repositorios |
| _version_ |
1764820449913470977 |