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APS » Journals » Phys. Rev. Lett. » Volume 79 » Issue 19
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Phys. Rev. Lett. 79, 3573–3576 (1997)

Two-Loop Beta Functions without Feynman Diagrams

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Peter E. Haagensen1, Kasper Olsen1,2, and Ricardo Schiappa1
1Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139
2The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen, Denmark

Received 21 May 1997; published in the issue dated 10 November 1997

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.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.79.3573
DOI:
10.1103/PhysRevLett.79.3573
PACS:
11.10.Hi, 11.10.Kk, 11.25.Db, 11.30.Ly
 
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