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Equivalence of Wilson Actions
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Equivalence of Wilson Actions
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We introduce the concept of equivalence among Wilson actions. Applying the concept to a real scalar theory on a euclidean space, we derive the exact renormalization group transformation of K. G. Wilson, and give a simple proof of universality of the critical exponents at any fixed point of the exact renormalization group transformation. We also show how to reduce the original formalism of Wilson to the simplified formalism by J. Polchinski.
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Cited by 1 Pith paper
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ERG Kernels on Multiply Connected Configuration Spaces
ERG kernels on multiply connected configuration spaces equal weighted sums of covering-space kernels whose weights (1D representations of π1) are non-renormalized and equal Aharonov-Bohm phases of a background flux.
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