Renormalization of the nonlinearmodel indimensions
- 15 November 1976
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 14 (10), 2615-2621
- https://doi.org/10.1103/physrevd.14.2615
Abstract
The nonlinear model is renormalizable in two dimensions. It is shown here that there exists a parametrization of this model in which only two renormalization constants are needed. The renormalization of all soft operators is discussed, as well as that of symmetrical operators of dimension 4. The renormalization properties of this model, although simpler, have many features in common with gauge theories.
Keywords
This publication has 14 references indexed in Scilit:
- Spontaneous breakdown of continuous symmetries near two dimensionsPhysical Review B, 1976
- Phase transition in the nonlinearmodel in a ()-dimensional continuumPhysical Review D, 1976
- Renormalization of the NonlinearModel inDimensions—Application to the Heisenberg FerromagnetsPhysical Review Letters, 1976
- Renormalization of non-Abelian gauge theories in a background-field gauge. II. Gauge-invariant operatorsPhysical Review D, 1975
- Interaction of goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fieldsPhysics Letters B, 1975
- Ward identities and some clues to the renormalization of gauge-invariant operatorsPhysical Review D, 1975
- Lowest order “divergent” graphs in v-dimensional spacePhysics Letters B, 1972
- One-Loop Renormalization of the NonlinearModelPhysical Review D, 1972
- Chiral LoopsPhysical Review D, 1971
- The axial vector current in beta decayIl Nuovo Cimento (1869-1876), 1960