Abstract
A systematic method to obtain a series of new correlation inequalities for a class of two-component vector spin systems is presented. These correlation inequalities are applied to lattice scalar field models with two-body, anisotropic or isotropic ferromagnetic interactions and interaction potential of even polynomials, especially the λ(‖Φ‖2)2 model, which includes the plane rotator model as a special case. Here an external field h=(h,H), h≥0, H≥0, is present. The possible way to extend our method to the N-component (N≥3) case is also discussed.
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