Nonlinear Models in 2+ɛ Dimensions
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+ɛ 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 Rij-α gij=∇ivj+∇jvi, α=+/-1 or 0, are discussed.
- Publication:
-
Physical Review Letters
- Pub Date:
- September 1980
- DOI:
- 10.1103/PhysRevLett.45.1057
- Bibcode:
- 1980PhRvL..45.1057F
- Keywords:
-
- 11.10.Ln;
- 11.10.Gh;
- Renormalization