Lectures on Non Perturbative Field Theory and Quantum Impurity Problems: Part II

CA); Caltech-USC Center for Theoretical Physics; H. Saleur (USC Physics Dept.; Los Angeles

Lectures on Non Perturbative Field Theory and Quantum Impurity Problems: Part II

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arxiv cond-mat/0007309 v1 pith:625DMFZ6 submitted 2000-07-19 cond-mat hep-th

H. Saleur (USC Physics Dept. , Caltech-USC Center for Theoretical Physics , Los Angeles , CA) This is my paper

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These are notes of lectures given at The NATO Advanced Study Institute/EC Summer School on ``New Theoretical Approaches to Strongly Correlated Systems'' (Newton Institute, April 2000). They are a sequel to the notes I wrote two years ago for the Summer School ``Topological Aspects of Low Dimensional Systems'', (Les Houches, July 1998). In this second part, I review the form-factors technique and its extension to massless quantum field theories. I then discuss the calculation of correlators in integrable quantum impurity problems, with special emphasis on point contact tunneling in the fractional quantum Hall effect, and the two-state problem of dissipative quantum mechanics.

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A boundary-QFT analysis shows that curved bulk metrics create local edge velocities in topological models and that fracton and linearized-gravity theories carry Kac-Moody boundary algebras.

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