Algebraic bosonization: The study of the heisenberg and Calogero-Sutherland models

Marialuisa Frau; Stefano Sciuto; Alberto Lerda; Guillermo R. Zemba

doi:10.1142/S0217751X97002498

Algebraic bosonization: The study of the heisenberg and Calogero-Sutherland models

Marialuisa Frau
, Stefano Sciuto
, Alberto Lerda
, Guillermo R. Zemba

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

We propose an approach to treating (1 + 1)-dimensional fermionic systems based on the idea of algebraic bosonization. This amounts to decomposing the elementary low-lying excitations around the Fermi surface in terms of basic building blocks carrying a representation of the W_1+∞ x W_1+∞ algebra, which is the dynamical symmetry of the Fermi quantum incompressible fluid. This symmetry simply expresses the local particle number current conservation at the Fermi surface. The general approach is illustrated in detail through two examples: the Heisenberg and Calogero-Sutherland models, which allow comparison with the exact Bethe ansatz solution.

Lingua originale	Inglese
pagine (da-a)	4611-4661
Numero di pagine	51
Rivista	International Journal of Modern Physics A
Volume	12
Numero di pubblicazione	25
DOI	https://doi.org/10.1142/S0217751X97002498
Stato di pubblicazione	Pubblicato - 10 ott 1997

Accesso al documento

10.1142/S0217751X97002498

Altri file e collegamenti

Link to publication in Scopus

Cita questo

@article{efc91776496c417fafd39451456c0e52,

title = "Algebraic bosonization: The study of the heisenberg and Calogero-Sutherland models",

abstract = "We propose an approach to treating (1 + 1)-dimensional fermionic systems based on the idea of algebraic bosonization. This amounts to decomposing the elementary low-lying excitations around the Fermi surface in terms of basic building blocks carrying a representation of the W1+∞ x W1+∞ algebra, which is the dynamical symmetry of the Fermi quantum incompressible fluid. This symmetry simply expresses the local particle number current conservation at the Fermi surface. The general approach is illustrated in detail through two examples: the Heisenberg and Calogero-Sutherland models, which allow comparison with the exact Bethe ansatz solution.",

author = "Marialuisa Frau and Stefano Sciuto and Alberto Lerda and Zemba, \{Guillermo R.\}",

note = "Funding Information: We would like to thank the organizers of the Benasque Center for Physics for their hospitality during the early stages of this work. G. R. Z. thanks the Dipartimento di Fisica Teorica dell{\textquoteright} Universit a di Torino and INFN (Sezione di Torino) for support and hospitality; his work is supported in part by a grant of the Antorchas Foundation (Argentina). This research has been supported in part by MURST and the European Commission TMR program ERBFMRX-CT96-0045.",

year = "1997",

month = oct,

day = "10",

doi = "10.1142/S0217751X97002498",

language = "English",

volume = "12",

pages = "4611--4661",

journal = "International Journal of Modern Physics A",

issn = "0217-751X",

publisher = "World Scientific",

number = "25",

}

TY - JOUR

T1 - Algebraic bosonization

T2 - The study of the heisenberg and Calogero-Sutherland models

AU - Frau, Marialuisa

AU - Sciuto, Stefano

AU - Lerda, Alberto

AU - Zemba, Guillermo R.

N1 - Funding Information: We would like to thank the organizers of the Benasque Center for Physics for their hospitality during the early stages of this work. G. R. Z. thanks the Dipartimento di Fisica Teorica dell’ Universit a di Torino and INFN (Sezione di Torino) for support and hospitality; his work is supported in part by a grant of the Antorchas Foundation (Argentina). This research has been supported in part by MURST and the European Commission TMR program ERBFMRX-CT96-0045.

PY - 1997/10/10

Y1 - 1997/10/10

N2 - We propose an approach to treating (1 + 1)-dimensional fermionic systems based on the idea of algebraic bosonization. This amounts to decomposing the elementary low-lying excitations around the Fermi surface in terms of basic building blocks carrying a representation of the W1+∞ x W1+∞ algebra, which is the dynamical symmetry of the Fermi quantum incompressible fluid. This symmetry simply expresses the local particle number current conservation at the Fermi surface. The general approach is illustrated in detail through two examples: the Heisenberg and Calogero-Sutherland models, which allow comparison with the exact Bethe ansatz solution.

AB - We propose an approach to treating (1 + 1)-dimensional fermionic systems based on the idea of algebraic bosonization. This amounts to decomposing the elementary low-lying excitations around the Fermi surface in terms of basic building blocks carrying a representation of the W1+∞ x W1+∞ algebra, which is the dynamical symmetry of the Fermi quantum incompressible fluid. This symmetry simply expresses the local particle number current conservation at the Fermi surface. The general approach is illustrated in detail through two examples: the Heisenberg and Calogero-Sutherland models, which allow comparison with the exact Bethe ansatz solution.

UR - https://www.scopus.com/pages/publications/0001759239

U2 - 10.1142/S0217751X97002498

DO - 10.1142/S0217751X97002498

M3 - Article

SN - 0217-751X

VL - 12

SP - 4611

EP - 4661

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

IS - 25

ER -

Algebraic bosonization: The study of the heisenberg and Calogero-Sutherland models

Abstract

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo