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

S Peysson1 and K Schoutens1,2

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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.


PACS

11.25.Hf Conformal field theory, algebraic structures

MSC

81T40 Two-dimensional field theories, conformal field theories, etc.

Subjects

Particle physics and field theory

Dates

Issue 30 (2 August 2002)

Received 9 May 2002

Published 19 July 2002



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