Short-time existence of the second order renormalization group flow in dimension three

Laura  Cremaschi; Carlo  Mantegazza

doi:10.3934/dcds.2015.35.5787

Article Contents

2015, Volume 35, Issue 12: 5787-5798. Doi: 10.3934/dcds.2015.35.5787

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Short-time existence of the second order renormalization group flow in dimension three

Laura Cremaschi^1, and
Carlo Mantegazza^1,

1.
Scuola Normale Superiore, Piazza dei Cavalieri 7, Pisa, 56126

Received: December 31, 2013

Published: November 2015

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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.

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Mathematics Subject Classification: Primary: 53C44; Secondary: 35K45.

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