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

Isotropic S=1/2 quasi-one-dimensional antiferromagnets are considered within the bosonization method. The 1/z(perpendicular to) corrections to the interchain mean-field theory (where z(perpendicular to) is the number of nearest neighbors in transverse to chain directions) are obtained for the ground-state sublattice magnetization (S) over bar(0) and Neel temperature T-N. The corrections to T-N make up about 25% of mean-field value, while those to (S) over bar(0) 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.