  In a recent comment by A.A. Zvyagin to our Letter [Phys. Rev. Lett. 89, 47202
(2002)] it was pointed out that the bosonization treatment of the
antiferromagnetic Heisenberg chain is only valid in the low temperature and
long length limit. We support this statement and quantify the limits of
validity by explicitly showing the crossover to the high temperature and/or
short length limit using a combination of bosonization formulas and numerical
results.
