Bosonization at finite temperature and anyon condensation

An operator formalism for bosonization at finite temperature and density is developed. We treat the general case of anyon statistics. The exact n-poin t correlation functions, satisfying the Kubo-Martin-Schwinger condition, ar e explicitly constructed, The invariance under both vector and axial transf ormations allows to introduce two chemical potentials, which give rise to n on-vanishing persistent currents. Investigating the exact momentum distribu tion, we discover anyon condensation in certain range of the statistical pa rameter, which shows that condensation is not an exclusive prerogative of b osonic systems. As an application of the general formalism, we solve the ma ssless Thirring model at finite temperature, deriving the charge density an d the persistent current. (C) 2000 Elsevier Science B.V. All rights reserve d.