Speaker: A. Tsvelik, Brookhaven
Date & Time: March 28, 2006 - 1:30pm
Location: Serin 385E
Finite Temperature Correlation Functions in Integrable Models
Physics and Astronomy
A. Tsvelik, Brookhaven
Serin 385E, 1:30 p.m.
We propose an approach to the problem of finite temperature dynamical correlation functions in integrable one-dimensional models with a special gap. The approach is based on the analysis of the leading singularities of the operator matrix elements and is not model specific. We discuss only models with well defined asymptotic states. For such models the long time, large distance asymptotics of the correlation functions fall into two universality classes. These classes differ by whether the behavior of the two-particle S matrix at low momenta is diagonal or corresponds to pure reflection. We discuss similarities and differences between our results and results obtained by the semi-classical method suggested by Sachdev and Young, Phys. Rev. Lett: 78, 2220 (1997).