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Differential real-space renormalization of thed-Dimensional Gaussian model |
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| Authors: | Yoshitake Yamazaki Henk J Hilhorst Günther Meissner |
| Institution: | (1) Theoretische Physik, Universität des Saarlandes, Saarbrücken, West Germany;(2) Guest scientist at the Institut für Festkörperforschung, Jülich, West Germany;(3) Present address: Department of Applied Physics, Tohoku University, Sendai, Japan;(4) Laboratorium voor Technische Natuurkunde, T.H. Delft, Delft, The Netherlands |
| Abstract: | With the aid of the differential real-space method we derive exact renormalization group (RG) equations for the Gaussian model ind dimensions. The equations involved + 1 spatially dependent nearest-neighbor interactions. We locate a critical fixed point and obtain the exact thermal critical indexy T = 2. A special trajectory of the full nonlinear RG transformation is found and the free energy of the corresponding initial state calculated.Supported by Deutsche Forschungsgemeinschaft through Sonderforschungsbereich 130 Ferroelektrika. |
| Keywords: | Real-space renormalization differential renormalization Gaussian model free energy |
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