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We establish that Polchinski's equation for exact renormalization group flow is equivalent to the optimal transport gradient flow of a field-theoretic relative entropy.
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G. Peyré, Entropic Approximation of Wasserstein Gradient Flows
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2006
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T. R. Morris and O. J. Rosten, Manifestly gauge invariant QCD
2006
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J. M. Pawlowski, Aspects of the functional renormalisation group
2007
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S. Arnone, T. R. Morris, and O. J. Rosten, A Generalised manifestly gauge invariant exact renormalisation group for SU(N) Yang-Mills
2007
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2010
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