Nonlinear models in 2 + epsilon dimensions

Technical Report · Fri Aug 01 00:00:00 EDT 1980

DOI:https://doi.org/10.2172/5001689· OSTI ID:5001689

Friedan, D H

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. The model consists of a scalar field phi on Euclidean 2 + epsilon space whose values phi(x) lie in a finite-dimensional differentiable manifold. 4 figures.

• Research Organization: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 5001689
• Report Number(s): LBL-11517; TRN: 80-018210
• Resource Relation: Other Information: Thesis
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
RENORMALIZATION
ALGORITHMS
ASYMPTOTIC SOLUTIONS
EUCLIDEAN SPACE
INFRARED DIVERGENCES
LOW TEMPERATURE
NONLINEAR PROBLEMS
SCALAR FIELDS
SERIES EXPANSION
FIELD THEORIES
MATHEMATICAL LOGIC
MATHEMATICAL SPACE
RIEMANN SPACE
SPACE
645400* - High Energy Physics- Field Theory