A non covariant fermionic determinant and its connection to Luttinger systems

We consider a fermionic determinant associated to a non covariant Quantum Field Theory used to describe a non relativistic system in (1+1) dimensions. By exploiting the freedom that arises when Lorentz invariance is not mandatory, we determine the heat-kernel regulating operator so as to reproduce t...

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Detalles Bibliográficos
Autores principales: Iucci, Carlos Aníbal, Naón, Carlos María
Formato: Articulo
Lenguaje:Inglés
Publicado: 2005
Materias:
Ciencias Exactas
Física
Lagrangian and Hamiltonian approach
Fermions in reduced dimensions
Fermion systems and electron gas
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132121
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132121
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Lagrangian and Hamiltonian approach
Fermions in reduced dimensions
Fermion systems and electron gas
spellingShingle Ciencias Exactas
Física
Lagrangian and Hamiltonian approach
Fermions in reduced dimensions
Fermion systems and electron gas
Iucci, Carlos Aníbal
Naón, Carlos María
A non covariant fermionic determinant and its connection to Luttinger systems
topic_facet Ciencias Exactas
Física
Lagrangian and Hamiltonian approach
Fermions in reduced dimensions
Fermion systems and electron gas
description We consider a fermionic determinant associated to a non covariant Quantum Field Theory used to describe a non relativistic system in (1+1) dimensions. By exploiting the freedom that arises when Lorentz invariance is not mandatory, we determine the heat-kernel regulating operator so as to reproduce the correct dispersion relations of the bosonic excitations. We also derive the Hamiltonian of the functionally bosonized model and the corresponding currents. In this way we were able to establish the precise heat-kernel regularization that yields complete agreement between the path-integral and operational approaches to the bosonization of the Tomonaga-Luttinger model.
format Articulo
Articulo
author Iucci, Carlos Aníbal
Naón, Carlos María
author_facet Iucci, Carlos Aníbal
Naón, Carlos María
author_sort Iucci, Carlos Aníbal
title A non covariant fermionic determinant and its connection to Luttinger systems
title_short A non covariant fermionic determinant and its connection to Luttinger systems
title_full A non covariant fermionic determinant and its connection to Luttinger systems
title_fullStr A non covariant fermionic determinant and its connection to Luttinger systems
title_full_unstemmed A non covariant fermionic determinant and its connection to Luttinger systems
title_sort non covariant fermionic determinant and its connection to luttinger systems
publishDate 2005
url http://sedici.unlp.edu.ar/handle/10915/132121
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