Abstract
In the present series of two papers we solve exactly Wilson's equations for a long-range effective hamiltonian. These equations arise when one seeks a fixed point of the Wilson's renormalization group transformations in the formulation of perturbation theory. The first paper has a general character. Wilson's renormalization transformation and its modifications are defined and the group property for them is established. Some topological aspects of the renormalization transformations are discussed. A space of “projection hamiltonians” is introduced and a theorem on the invariance of this space with respect to the renormalization transformations is proved.
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Communicated by Ya. G. Sinai, Moscow
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Bleher, P.M., Missarov, M.D. The equations of Wilson's renormalization group and analytic renormalization. Commun.Math. Phys. 74, 235–254 (1980). https://doi.org/10.1007/BF01952888
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DOI: https://doi.org/10.1007/BF01952888