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

Isotropic S=1/2 quasi-one-dimensional antiferromagnets are considered withi n the bosonization method. The 1/z(perpendicular to) corrections to the int erchain mean-field theory (where z(perpendicular to) is the number of neare st neighbors in transverse to chain directions) are obtained for the ground -state sublattice magnetization (S) over bar(0) and Neel temperature T-N. T he 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.