Nonlinear Models in Two + Epsilon Dimensions

Aug, 1980
212 pages
Published in:
  • Annals Phys. 163 (1985) 318
Report number:
  • LBL-11517,
  • UMI-81-13038

Citations per year

1985199520052015202501020304050
Abstract: (Elsevier)
The general nonlinear scalar model is studied at asymptotically low temperature near two dimensions. The low temperature expansion is renormalized and effective algorithms are derived for calculation to all orders in the renormalized expansion. The renormalization group coefficients are calculated in the two loop approximation and topological properties of the renormalization group equations are investigated. Special attention is paid to the infrared instabilities of the fixed points, since they provide the continuum limits of the model.
Note:
  • Ph.D. Thesis
  • THESIS
  • FIELD THEORY: TWO-DIMENSIONAL
  • FIELD THEORY: NONLINEAR
  • APPROXIMATION: EPSILON EXPANSION
  • FIELD THEORY: SPACE-TIME
  • PERTURBATION THEORY: HIGHER-ORDER
  • RENORMALIZATION: REGULARIZATION
  • RENORMALIZATION GROUP
  • FIELD THEORY: SCALAR
  • TEMPERATURE: LOW