Using local Ward identities we prove a number of correlation inequalities for JV-component, isotropically coupled, pair interacting ferromagnets some for all JV ̂ 2 and some for JV = 2,3,4. These are used to prove a mass gap above the mean field temperature, for all JV^2. For JV = 2,3,4 we prove an upper bound on a critical exponent, and a lower bound on the susceptability which diverges as m->0.

feminist critical discourse analysis is an approach distinguished by its focus on revealing unequal power relations between women and men in their social life. in the present paper, it is suggested that simone de beauvoir’s theory of the formation of gender identity and female subject in the second sex provides a meaningful theoretical ground to the feminist critical discourse analysis. althoug...

Techniques are presented for calculating directly the scalar functional determinant on the Euclidean d-ball. General formulae are given for Dirichlet and Robin boundary conditions. The method involves a large mass asymptotic limit which is carried out in detail for d = 2 and d = 4 incidentally producing some specific summations and identities.