Temperature-dependent logarithmic corrections in the spin-1/2 Heisenberg chain

We obtain the logarithmic corrections to the dynamic response function and NMR T_1 and T_{2G} rates in the spin-1/2 antiferromagnetic Heisenberg chain using perturbative renormalization group in the leading irrelevant operator. The result is compared with NMR experiments in Sr_2CuO_3.