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.
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Supported by Deutsche Forschungsgemeinschaft through Sonderforschungsbereich 130 Ferroelektrika.
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Yamazaki, Y., Hilhorst, H.J. & Meissner, G. Differential real-space renormalization of thed-Dimensional Gaussian model. J Stat Phys 23, 609–625 (1980). https://doi.org/10.1007/BF01011732
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DOI: https://doi.org/10.1007/BF01011732