Regensburg 2016 – wissenschaftliches Programm

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TUT: Tutorials

TUT 5: Tutorial: Correlations in Integrable Quantum Many-Body Systems (TT)

TUT 5.1: Tutorium

Sonntag, 6. März 2016, 16:00–16:45, H20

Correlation functions of integrable models — •Frank Göhmann — Bergische Universität Wuppertal

This introductory tutorial reviews some of the progress in the theory of integrable quantum systems that led to the exact calculation of correlation functions of Heisenberg spin chains and related integrable quantum field theories. I shall mostly focus on two subjects: the factorization property of correlation functions of integrable models, discovered about 15 years ago, and the exact calculation and summation of matrix elements appearing in Lehmann representations of their correlation functions. Special emphasis will be put on methods which allow us to take into account the temperature dependence and on methods for calculating the long-time large-distance asymptotic behaviour of correlation functions.