The Average Free Energy and the Effective Mean Field Hypothesis |
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Authors: | Yong-Xin SONG Shao-Kang ZHOU |
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Affiliation: | 1. Department of Phyeica, Sichuan University, Chengdu 610064, China;2. Institute of High Energy Physics, Academia Sinica, Beijing 100039, China |
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Abstract: | In this paper, an improvement in the variational-cumulant expansion method is made. For any model in lattice field theories, the average free energy can be calculated rigorously according to the generalized cumulant expansion, and the intensity of the effective external field can be determined by the effective mean field hypothesis. As a test, the king model is studied, and the results take a visible turn for the better. |
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