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A Four Loop Calculation of the Metric Beta Function for the Bosonic $\sigma$ Model and the String Effective Action

Authors
  • Jack, I.
  • Jones, D.R.T.
  • Mohammedi, N.
Publication Date
Jan 01, 1989
Identifiers
DOI: 10.1016/0550-3213(89)90422-7
OAI: oai:inspirehep.net:25100
Source
INSPIRE-HEP
Keywords
License
Unknown
External links

Abstract

We compute the four-loop ( O ( α ′ 4 )) metric β-function for the two-dimensional bosonic non-linear σ-model. We employ an indirect method which avoids a large part of the explicit calculation and as a by-product yields the corresponding four-loop low-energy sring effective action. Using our result we are able to check previous four-loop computations for the supersymmetric σ-model.

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