Form factors approach to current correlations in one dimensional systems with impurities

Abstract

We show how to compute analytically time and space dependent correlations in one dimensional quantum integrable systems with an impurity. Our approach is based on a description of these systems in terms of massless scattering of quasiparticles. Correlators follow then from matrix elements of local operators between multiparticle states, the ``massless form factors''. Although an infinite sum of these form factors has to be considered in principle, we find that for current, spin, and energy operators, only a few (typically two or three) are necessary to obtain an accuracy of more than $1\%$, for {\bf arbitrary coupling strength}, that is all the way from short to large distances. As examples we compute, at zero temperature, the frequency dependent conductance in a Luttinger liquid with impurity, the spectral function in the double well problem of dissipative quantum mechanics and part of the space dependent succeptibility in the Kondo model .

2 References corrected, three added. Discussion of the Screening cloud modified. 42 pages, harvmac, epsf and 6 figures

References in corpus (2)

• Friedel oscillations for interacting fermions in one dimension
• Equilibrium dynamics of the dissipative two-state system

Cited by in corpus (41)

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• Modular Invariant Partition Functions in the Quantum Hall Effect
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• Correlation functions of the open XXZ chain II
• The Screening Cloud in the k-Channel Kondo Model: Perturbative and Large-k Results
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• Correlations in one dimensional quantum impurity problems with an external field
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• Strong coupling resistivity in the Kondo model
• Boundary conditions changing operators in non conformal theories
• Tunneling in quantum wires II: A new line of IR fixed points
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