We have summarized the results of an investigation into the symmetry properties of renormalization-group (RG) transformations. We also formulated problems for further research: (i) classification of equivalent Hamiltonians and corresponding RG transformations for 1-component fields; (ii) generalizations to lattice systems; (iii) Further study of the appearence of continious symmetry groups of transformations commuting with RG.
Symmetry Property Lattice System Critical Phenomenon Orthogonal Transformation Flow Vector
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