Calculation of Neel temperature for S=1/2 quasi-one-dimensional Heisenberg antiferromagnets

Isotropic S=1/2 quasi-one-dimensional antiferromagnets are considered within the bosonization method. The 1/zp-corrections to the interchain mean-field theory (zp is the number of nearest neighbors in transverse to chain directions) are obtained for the ground-state sublattice magnetization and Neel temperature T_N. The corrections to T_N make up about 25% of mean-feld value, while those to ground-state sublattice magnetization are small enough (especially in the three-dimensional case). The fluctuation corrections obtained improve considerably the agreement with the experimental data for magnetic-chain compounds KCuF3, Sr2CuO3 and Ca2CuO3.