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On Exact Proper Time Wilsonian RG Flows

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arxiv 1912.08135 v2 pith:A6JRDLTS submitted 2019-12-17 hep-th cond-mat.stat-mech

On Exact Proper Time Wilsonian RG Flows

classification hep-th cond-mat.stat-mech
keywords wilsonianactionexactpropertimeanalyzeassociatedbriefly
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss the possibility to define exact RG equations for a UV regulated Wilsonian action based on a proper time (PT) regulator function. We start from a functional mapping which shows how each particular flow equation (and RG scheme) is associated to infinitely many scale dependent field redefinitions, which are related to specific coarse-graining procedures. On specializing to a sub-family of one parameter PT regulators we briefly analyze few results for the Ising Universality class in three dimensions, obtained within a second order truncation in the derivative expansion of the Wilsonian action.

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Cited by 13 Pith papers

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