Finite temperature correlation functions in integrable QFT

Finite Temperature Correlation Functions in Integrable QFT

Finite temperature correlation functions in integrable quantum field theories are formulated only in terms of the usual, temperature-independent form factors, and certain thermodynamic filling fractions which are determined from the thermodynamic Bethe ansatz. Explicit expressions are given for the one and two-point functions. Typeset using REVTEX 1

A comment on Finite Temperature Correlations in Integrable QFT

I discuss and extend the recent proposal of Leclair and Mussardo for finite temperature correlation functions in integrable QFTs. I give further justification for its validity in the case of one point functions of conserved quantities. I also argue that the proposal is not correct for two (and higher) point functions, and give some counterexamples to justify that claim.

Finite Temperature Correlation Functions and Modular Forms in a Globally Conformal Invariant QFT

Global conformal invariance (GCI) of quantum field theory (QFT) in two and higher space–time dimensions implies the Huygens’ principle, and hence, rationality of correlation functions of observable fields [16]. The conformal hamiltonian H has discrete spectrum and we assume that the partition function trD ( q ) , q = e2πi τ , Im τ > 0 (|q| < 1) as well as the finite temperature expectation valu...

Finite Temperature Correlation Functions From Form Factors

Ja n 20 01 Finite temperature correlation functions

Lattice measurements of the Pisa group (A.Di Giacomo et al., hep-lat/9603018) are analyzed numerically and parameters of correlation functions are extracted from the data – both below and above deconfinement temperature T c. Gluon condensate is found for six temperatures in the interval 0.956 T c – 1.131 T c and field distributions in deconfined phase are obtained.