Three-loop calculations in the two-dimensional non-linear σ model
- 1 June 1978
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 11 (6) , 1141-1150
- https://doi.org/10.1088/0305-4470/11/6/015
Abstract
The three-loop calculation of the non-linear sigma model is performed by the minimal subtraction method near two dimensions. As an application, the third-order expressions for the critical exponents in the (d-2) expansion are obtained.Keywords
This publication has 11 references indexed in Scilit:
- Momentum-shell recursion relations, anisotropic spins, and liquid crystals indimensionsPhysical Review B, 1977
- Critical dynamics near dimension two for time-dependent Ginzburg-Landau modelsPhysical Review B, 1977
- Anomalous dimensions of composite operators near two dimensions for ferromagnets withsymmetryPhysical Review B, 1976
- Renormalization of the nonlinearmodel indimensionsPhysical Review D, 1976
- Spontaneous breakdown of continuous symmetries near two dimensionsPhysical Review B, 1976
- Renormalization of the NonlinearModel inDimensions—Application to the Heisenberg FerromagnetsPhysical Review Letters, 1976
- Dimensional regularization and the renormalization groupNuclear Physics B, 1973
- Critical Exponents abovetoPhysical Review A, 1973
- Critical Behavior of a Classical Heisenberg Ferromagnet with Many Degrees of FreedomPhysical Review B, 1973
- Critical Exponents and Scaling Relations in 1/nExpansionProgress of Theoretical Physics, 1973