The second-order renormalization group flow for nonlinear sigma models in two dimensions

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We show that for two-dimensional manifolds M with negative Euler characteristics, there exist subsets of the space of smooth Riemannian metrics which are invariant and either parabolic or backwards-parabolic for the second-order RG flow. We also show that solutions exist globally on these sets. Finally, we establish the existence of an eternal solution that has both a UV and IR limit, and passes through regions where the flow is parabolic and backwards-parabolic.
Original languageEnglish
Pages (from-to)105020 - 105027
Number of pages8
JournalLetters in Mathematical Physics
Issue number10
Publication statusPublished - 2009

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