paper

Two-Loop Beta Functions Without Feynman Diagrams

arXiv:hep-th/9705105 · doi:10.1103/PhysRevLett.79.3573

Abstract

Starting from a consistency requirement between T-duality symmetry and renormalization group flows, the two-loop metric beta function is found for a d=2 bosonic sigma model on a generic, torsionless background. The result is obtained without Feynman diagram calculations, and represents further evidence that duality symmetry severely constrains renormalization flows.

4 pp., REVTeX. Added discussion on scheme (in)dependence; final version to appear in Phys. Rev. Lett

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