An operator formalism for bosonization at finite temperature and density is developed. We treat the general case of anyon statistics. The exact n-point correlation functions, satisfying the Kubo-Martin-Schwinger condition, are explicitly constructed, The invariance under both vector and axial transformations allows to introduce two chemical potentials, which give rise to non-vanishing persistent currents. Investigating the exact momentum distribution, we discover anyon condensation in certain range of the statistical parameter, which shows that condensation is not an exclusive prerogative of bosonic systems. As an application of the general formalism, we solve the massless Thirring model at finite temperature, deriving the charge density and the persistent current.

BOSONIZATION AT FINITE TEMPERATURE AND ANYON CONDENSATION

PILO, LUIGI;
2000

Abstract

An operator formalism for bosonization at finite temperature and density is developed. We treat the general case of anyon statistics. The exact n-point correlation functions, satisfying the Kubo-Martin-Schwinger condition, are explicitly constructed, The invariance under both vector and axial transformations allows to introduce two chemical potentials, which give rise to non-vanishing persistent currents. Investigating the exact momentum distribution, we discover anyon condensation in certain range of the statistical parameter, which shows that condensation is not an exclusive prerogative of bosonic systems. As an application of the general formalism, we solve the massless Thirring model at finite temperature, deriving the charge density and the persistent current.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/20826
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 33
  • ???jsp.display-item.citation.isi??? 34
social impact