Two-Loop Beta Functions Without Feynman Diagrams

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1103/PhysRevLett.79.3573

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.

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