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We present a novel real-space renormalization group(RG) for theone-dimensional XXZ model in the critical regime, reconsidering the role of thecut-off parameter in Wilson's RG for the Kondo impurity problem. We thendemonstrate the RG calculation for the XXZ chain with the free boundary.Comparing the hierarchical structure of the obtained low-energy spectrum withthe Bethe ansatz result, we find that the proper scaling dimension isreproduced as a fixed point of the RG transformation.Comment: 4 pages, 6 figures, typos corrected, final versio

Wilson-Like Real-Space Renormalization Group and Low-Energy Effective Spectrum of the XXZ Chain in the Critical Regime