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Thus In the disordered phase, no progress seems possible without restricting the arbitrary kernels. Following [4],we adopt the forms eq. ( 5 ) . For small H , we consider only the first non-trivial order in H , that is a term of o(H1nH) in the entropy. The remaining contribution to the free energy, the average of the Hamiltonian, is evaluated 50 in the mean field approximation 121. 33GeV N ~ M , ~ Fdis = --. 30n2 The simplest option to evaluate the free energy in the disordered phase is to use perturbation theory.

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