The effects of quantum fluctuations on the magnetic field dependence of the spin-wave gaps in the lamellar antiferromagnet La2CuO4 are considered. Nonlinear corrections to the spin-wave spectrum are calculated to leading order in 1/S, where S is the localized spin. The nearest-neighbor exchange interactions between the Cu spins as well as the Dzyaloshinskii-Moriya interactions are taken into account. Using the experimental values of the components of the g-factor tensor, we get satisfactory agreement with the experimental results for the field dependence of the gaps by Gozar [Phys. Rev. Lett. 93, 027001 (2004)] and obtain consistent values of the in-plane and interplane coupling constants. The field dependence of the dispersion of spin waves propagating perpendicular to the CuO2 planes is also discussed.
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