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Goldstone mode singularities and equation of state of an isotropic magnet
Authors:Lothar Schäfer  Heinz Horner
Institution:(1) Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, D-6900 Heidelberg 1, Germany
Abstract:Static properties of an isotropic magnet are calculated in the whole critical region including the magnetization curve. The method proposed is a resummation of renormalized perturbation theory without use of recursion relations. This is possible because only special diagrams or subdiagrams show infrared divergencies at the magnetization curve due to Goldstone modes. The arguments given are heavily based on Ward identities. The resulting perturbation theory is well behaved in the total critical region and exhibits explicitely the form of the Goldstone mode singularities at the magnetization curve. The equation of state is calculated including two-loop contribution. Resulting effective exponents are then correct in orderepsi in the whole critical region. In various limits agreement with known results is found. A one-loop calculation of the correlation functions is also given.
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