Two-Loop Beta Functions Without Feynman Diagrams
High Energy Physics - Theory
2009-10-30 v2
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.
Cite
@article{arxiv.hep-th/9705105,
title = {Two-Loop Beta Functions Without Feynman Diagrams},
author = {Peter E. Haagensen and Kasper Olsen and Ricardo Schiappa},
journal= {arXiv preprint arXiv:hep-th/9705105},
year = {2009}
}
Comments
4 pp., REVTeX. Added discussion on scheme (in)dependence; final version to appear in Phys. Rev. Lett