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Abstract
We present asymptotically exact results for
the real time order parameter
correlations of a general class of $d=1$ Ising models in a transverse
field at low temperatures ($T$) on both sides of the
quantum critical point. The correlations are a
product of a $T$-independent factor
determined by quantum effects, and a $T$-dependent relaxation function
which comes from a {\em classical} theory.
We confirm our predictions by a no-free-parameter comparison with
numerical studies on the
nearest neighbor spin-1/2 model.
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