Bosonization at finite temeperature and anyon condensation
Abstract
An operator formalism for bosonization at finite temperature and density is developed. We treat the general case of anyon statistics. The exact npoint correlation functions, satisfying the KuboMartinSchwinger condition, are explicitly constructed. The invariance under both vector and axial transformations allows to introduce two chemical potentials, which give rise to nonvanishing 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.
 Publication:

Nuclear Physics B
 Pub Date:
 March 2000
 DOI:
 10.1016/S05503213(99)007749
 arXiv:
 arXiv:hepth/9906205
 Bibcode:
 2000NuPhB.569..577L
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter;
 Mathematical Physics
 EPrint:
 LaTex file, 3 figures, 33 pages