Path-integral formulation of backward and umklapp scattering for 1d spinless fermions

We present a (1+1)-dimensional fermionic quantum field theory with nonlocal couplings between currents. This model describes an ensemble of spinless fermions interacting through forward, backward, and UMKLAPP scattering processes. We express the vacuum-to-vacuum functional in terms of a nontrivial f...

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Detalles Bibliográficos
Autores principales: Fernández, Victoria Inés, Naón, Carlos María
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 1999
Materias:
Física
Effective action
Quantum field theory
Physics
Path integral formulation
Umklapp scattering
Bosonization
Scalar (physics)
Fermion
Partition function (statistical mechanics)
Quantum mechanics
Quasiparticle
Auxiliary field
Quantum electrodynamics
Representation (mathematics)
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123583
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-123583
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Effective action
Quantum field theory
Physics
Path integral formulation
Umklapp scattering
Bosonization
Scalar (physics)
Fermion
Partition function (statistical mechanics)
Quantum mechanics
Quasiparticle
Path integral formulation
Umklapp scattering
Auxiliary field
Quantum electrodynamics
Representation (mathematics)
spellingShingle Física
Effective action
Quantum field theory
Physics
Path integral formulation
Umklapp scattering
Bosonization
Scalar (physics)
Fermion
Partition function (statistical mechanics)
Quantum mechanics
Quasiparticle
Path integral formulation
Umklapp scattering
Auxiliary field
Quantum electrodynamics
Representation (mathematics)
Fernández, Victoria Inés
Naón, Carlos María
Path-integral formulation of backward and umklapp scattering for 1d spinless fermions
topic_facet Física
Effective action
Quantum field theory
Physics
Path integral formulation
Umklapp scattering
Bosonization
Scalar (physics)
Fermion
Partition function (statistical mechanics)
Quantum mechanics
Quasiparticle
Path integral formulation
Umklapp scattering
Auxiliary field
Quantum electrodynamics
Representation (mathematics)
description We present a (1+1)-dimensional fermionic quantum field theory with nonlocal couplings between currents. This model describes an ensemble of spinless fermions interacting through forward, backward, and UMKLAPP scattering processes. We express the vacuum-to-vacuum functional in terms of a nontrivial fermionic determinant. Using path-integral methods, we find a bosonic representation for this determinant and an effective action depending on three scalar fields, of which two correspond to the physical collective excitations and one is an auxiliary field, which can be integrated out using an approximation technique.
format Articulo
Preprint
author Fernández, Victoria Inés
Naón, Carlos María
author_facet Fernández, Victoria Inés
Naón, Carlos María
author_sort Fernández, Victoria Inés
title Path-integral formulation of backward and umklapp scattering for 1d spinless fermions
title_short Path-integral formulation of backward and umklapp scattering for 1d spinless fermions
title_full Path-integral formulation of backward and umklapp scattering for 1d spinless fermions
title_fullStr Path-integral formulation of backward and umklapp scattering for 1d spinless fermions
title_full_unstemmed Path-integral formulation of backward and umklapp scattering for 1d spinless fermions
title_sort path-integral formulation of backward and umklapp scattering for 1d spinless fermions
publishDate 1999
url http://sedici.unlp.edu.ar/handle/10915/123583
work_keys_str_mv AT fernandezvictoriaines pathintegralformulationofbackwardandumklappscatteringfor1dspinlessfermions
AT naoncarlosmaria pathintegralformulationofbackwardandumklappscatteringfor1dspinlessfermions
bdutipo_str Repositorios
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