A form-factor approach to finite-temperature correlation functions in c=1 CFT

The excitation spectrum of specific conformal field theories (CFT) with central charge c = 1 can be described in terms of quasi-particles with charges Q = −p, +1 and fractional statistics properties. Using the language of Jack polynomials, we compute form factors of the charge density operator in these CFTs. We study a form-factor expansion for the finite-temperature density–density correlation function, and find that it shows a quick convergence to the exact result. The low-temperature behaviour is recovered from a form factor with p + 1 particles, while the high-temperature limit is recovered from states containing no more than three particles.

[1]  O. Castro-Alvaredo,et al.  Finite temperature correlation functions from form factors , 2002, hep-th/0203130.

[2]  R. Konik.  Haldane-gapped spin chains: Exact low-temperature expansions of correlation functions , 2001, cond-mat/0105284.

[3]  G. Mussardo.  On the finite temperature formalism in integrable quantum field theories , 2001, hep-th/0103214.

[4]  R. V. Elburg,et al.  Form factors for quasi-particles in $c=1$ conformal field theory , 2000, cond-mat/0007226.

[5]  H. Saleur.  A comment on finite temperature correlations in integrable QFT , 1999, hep-th/9909019.

[6]  G. Mussardo,et al.  Finite temperature correlation functions in integrable QFT , 1999, hep-th/9902075.

[7]  S. B. Isakov,et al.  Conductance and Shot Noise for Particles with Exclusion Statistics , 1998, cond-mat/9811391.

[8]  R. V. Elburg,et al.  Quasiparticles in fractional quantum Hall effect edge theories , 1998, cond-mat/9801272.

[9]  K. Schoutens.  Exclusion statistics in conformal field theory spectra , 1997, cond-mat/9706166.

[10]  S. Iso.  Anyon basis of c = 1 conformal field theory , 1994, hep-th/9411051.

[11]  Z. Ha.  Fractional statistics in one dimension: view from an exactly solvable model , 1994, cond-mat/9410101.

[12]  Wu,et al.  Statistical distribution for generalized ideal gas of fractional-statistics particles. , 1994, Physical review letters.

[13]  J. Balog.  Field theoretical derivation of the TBA integral equation , 1994 .

[14]  F. Lesage,et al.  Dynamical correlation functions in the Calogero-Sutherland model , 1994, hep-th/9405008.

[15]  S. B. Isakov.  GENERALIZATION OF STATISTICS FOR SEVERAL SPECIES OF IDENTICAL PARTICLES , 1994 .

[16]  Dasnières de Veigy A,et al.  Equation of state of an anyon gas in a strong magnetic field. , 1993, Physical review letters.

[17]  Haldane,et al.  "Fractional statistics" in arbitrary dimensions: A generalization of the Pauli principle. , 1991, Physical review letters.

[18]  I. G. MacDonald,et al.  Symmetric functions and Hall polynomials , 1979 .