Ground-state wave functionals for (1 + 1)-dimensional fermion field theories

We use path-integral methods to derive the ground-state wave functions of a number of two-dimensional fermion field theories and related systems in one-dimensional many-body physics. We derive the exact wave function for the Thirring-Luttinger and coset fermion models and apply our results to derive...

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Autores principales: Fradkin, Eduardo, Moreno, Enrique Francisco, Schaposnik, Fidel Arturo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 1993
Materias:
Física
Wave function
Physics
Path integral formulation
Hamiltonian (quantum mechanics)
Gauge theory
Mathematical physics
Fermion
Quantum mechanics
Renormalization group
Bethe ansatz
Fermionic field
One-dimensional space
Exponent
Ground state
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/122861
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-122861
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Wave function
Physics
Path integral formulation
Hamiltonian (quantum mechanics)
Gauge theory
Mathematical physics
Fermion
Quantum mechanics
Renormalization group
Bethe ansatz
Fermionic field
One-dimensional space
Exponent
Ground state
spellingShingle Física
Wave function
Physics
Path integral formulation
Hamiltonian (quantum mechanics)
Gauge theory
Mathematical physics
Fermion
Quantum mechanics
Renormalization group
Bethe ansatz
Fermionic field
One-dimensional space
Exponent
Ground state
Fradkin, Eduardo
Moreno, Enrique Francisco
Schaposnik, Fidel Arturo
Ground-state wave functionals for (1 + 1)-dimensional fermion field theories
topic_facet Física
Wave function
Physics
Path integral formulation
Hamiltonian (quantum mechanics)
Gauge theory
Mathematical physics
Fermion
Quantum mechanics
Renormalization group
Bethe ansatz
Fermionic field
One-dimensional space
Exponent
Ground state
description We use path-integral methods to derive the ground-state wave functions of a number of two-dimensional fermion field theories and related systems in one-dimensional many-body physics. We derive the exact wave function for the Thirring-Luttinger and coset fermion models and apply our results to derive the universal behavior of the wave functions of the Heisenberg antiferromagnets and of the Sutherland model. We find explicit forms for the wave functions in the density and in the Grassmann representations. We show that these wave functions always have the Jastrow factorized form and calculated the exponent. Our results agree with the exponents derived from the Bethe ansatz for the Sutherland model and the Haldane-Shastri spin chain but apply to all the systems in the same universality class.
format Articulo
Preprint
author Fradkin, Eduardo
Moreno, Enrique Francisco
Schaposnik, Fidel Arturo
author_facet Fradkin, Eduardo
Moreno, Enrique Francisco
Schaposnik, Fidel Arturo
author_sort Fradkin, Eduardo
title Ground-state wave functionals for (1 + 1)-dimensional fermion field theories
title_short Ground-state wave functionals for (1 + 1)-dimensional fermion field theories
title_full Ground-state wave functionals for (1 + 1)-dimensional fermion field theories
title_fullStr Ground-state wave functionals for (1 + 1)-dimensional fermion field theories
title_full_unstemmed Ground-state wave functionals for (1 + 1)-dimensional fermion field theories
title_sort ground-state wave functionals for (1 + 1)-dimensional fermion field theories
publishDate 1993
url http://sedici.unlp.edu.ar/handle/10915/122861
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AT morenoenriquefrancisco groundstatewavefunctionalsfor11dimensionalfermionfieldtheories
AT schaposnikfidelarturo groundstatewavefunctionalsfor11dimensionalfermionfieldtheories
bdutipo_str Repositorios
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