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

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

2002-05-07

arxiv.org/abs/cond-mat/0205128v1

J.Phys.A35:6471-6488,2002

Physics

Condensed Matter

Strongly Correlated Electrons

15 pp, 6 fig

Scientific paper

10.1088/0305-4470/35/30/318

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 behavior is recovered from a form factor with $p+1$ particles, while the high-temperature limit is recovered from states containing no more than 3 particles.

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