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- W3100266983 abstract "Equations related to the Polchinski version of the exact renormalization group (RG) equations for scalar fields which extend the local potential approximation to first order in a derivative expansion, and which maintain reparameterization invariance, are postulated. Reparameterization invariance ensures that the equations determine the anomalous dimension η unambiguously and the equations are such that the result is exact to O(e2) in an e-expansion for any multi-critical fixed point. It is also straightforward to determine η numerically. When the dimension d = 3 numerical results for a wide range of critical exponents are obtained in theories with O(N) symmetry, for various N and for ranges of η, are obtained within the local potential approximation. The associated η, which follows from the derivative approximation described here, is found for various N. The large N limit of the equations is also analysed. A corresponding discussion is also given in a perturbative RG framework and scaling dimensions for derivative operators are calculated to first order in e." @default.
- W3100266983 created "2020-11-23" @default.
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- W3100266983 date "2009-04-21" @default.
- W3100266983 modified "2023-10-14" @default.
- W3100266983 title "Reparameterization invariance and RG equations: extension of the local potential approximation" @default.
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- W3100266983 doi "https://doi.org/10.1088/1751-8113/42/19/195401" @default.
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