Abstract
The local single-particle correlation function for the symmetric Wolff model is evaluated at zero temperature in the weak-coupling-long-time limit by a stationary-phase argument. The leading behaviour is given by an asymptotic expansion in the coupling strength. The correlation function furthermore has a weak essential singularity at vanishing coupling strength, corresponding to the exponential decay of transient Fermi surface effects, and is scale invariant under a simultaneous change of time scale and coupling-strength scale. In the intermediate and strong coupling regime the calculation breaks down due to many-body effects. Comments are made on some frequently used operator representations and some work by Mattis.
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