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Low temperature dynamics of the S=1/2 Heisenberg chain is studied via asimple ansatz generalizing the conformal mapping and analytic continuationprocedures to correlation functions with multiplicative logarithmic factors.Closed form expressions for the dynamic susceptibility and the NMR relaxationrates 1/T_1 and 1/T_{2G} are obtained, and are argued to improve the agreementwith recent experiments. Scaling in q/T and \omega/T are violated due to theselogarithmic terms. Numerical results show that the logarithmic corrections arevery robust. While not yet in the asymptotic low temperature regime, theyprovide striking qualitative confirmation of the theoretical results.Comment: 4 pages, RevTex, 4 postscript figures in one fil

Quantum Critical Scaling and Temperature-Dependent Logarithmic Corrections in the Spin-Half Heisenberg Chain