Given a compact three-manifold together with a Riemannian metric, we prove the short-time existence of a solution to the renormalization group flow, truncated at the second order term, under a suitable hypothesis on the sectional curvature of the initial metric.
Short-Time Existence of the Second Order Renormalization Group Flow in Dimension Three
CREMASCHI, LAURA;MANTEGAZZA, Carlo Maria
2015
Abstract
Given a compact three-manifold together with a Riemannian metric, we prove the short-time existence of a solution to the renormalization group flow, truncated at the second order term, under a suitable hypothesis on the sectional curvature of the initial metric.File in questo prodotto:
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10.3934_dcds.2015.35.5787.pdf
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