Nonlinear Models in 2+ε Dimensions

D. Friedan
Phys. Rev. Lett. 45, 1057 – Published 29 September 1980
PDFExport Citation

Abstract

A generalization of the nonlinear σ model is considered. The field takes values in a compact manifold M and the coupling is determined by a Riemannian metric on M. The model is renormalizable in 2+ε dimensions, the renormalization group acting on the infinite-dimensional space of Riemannian metrics. Topological properties of the β function and solutions of the fixed-point equation Rijαgij=ivj+jvi, α=±1 or 0, are discussed.

  • Received 28 May 1980

DOI:https://doi.org/10.1103/PhysRevLett.45.1057

©1980 American Physical Society

Authors & Affiliations

D. Friedan*

  • Lawrence Berkeley Laboratory and Department of Physics, University of California, Berkeley, California 94720, and Service de Physique Théorique, Centre d'Etudes Nucléaires de Saclay, F-91190 Gif-sur-Yvette, France

  • *Present address.

References (Subscription Required)

Click to Expand
Issue

Vol. 45, Iss. 13 — 29 September 1980

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×