Calculation of Anomalous Dimensions for the Nonlinear $\sigma$ Model

Hof, D.; Wegner, F.

doi:10.1016/0550-3213(86)90575-4

Calculation of Anomalous Dimensions for the Nonlinear $\sigma$ Model

D. Hof
(
- Heidelberg U.
)
,
F. Wegner
(
- Heidelberg U.
)

1986

19 pages

Published in:

Nucl.Phys.B 275 (1986) 561-579

Published: 1986

DOI:

10.1016/0550-3213(86)90575-4

View in:

AMS MathSciNet

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Abstract: (Elsevier)

The relevant scaling operators without derivatives for the orthogonal, unitary and symplectic nonlinear σ-model are classified and their anomalous dimensions are calculated up to three-loop order. The exponents for the participation ratio and for higher averaged moments of the wave functions for Anderson localization are obtained. For nonmagnetic scattering the two-loop and three-loop term vanishes.

FIELD THEORETICAL MODEL: SIGMA
NONLINEAR
SCALING: VIOLATION
PERTURBATION THEORY: HIGHER-ORDER
FIELD THEORY: CRITICAL PHENOMENA
RENORMALIZATION: REGULARIZATION

References(17)

Figures(0)

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Calculation of Anomalous Dimensions for the Nonlinear σ\sigmaσ Model

Citations per year

Spontaneous Breakdown of Continuous Symmetries Near Two-Dimensions

Generalized Nonlinear Σ\SigmaΣ Models With Gauge Invariance

PARTICIPATION RATIO IN THE NONLINEAR SIGMA MODEL REPRESENTATION OF LOCALIZATION

NONLINEAR sigma MODELS: A PERTURBATIVE APPROACH TO SYMMETRY RESTORATION

Three Loop Calculations in the Two-Dimensional Nonlinear Sigma Model

Renormalization of the Nonlinear Sigma Model in (Two + Epsilon) Dimension

Groups and geometric analysis

Theory of group representations and applications

Anomalous Dimensions of Composite Operators Near Two-Dimensions for Ferromagnets with O(n) Symmetry

Calculation of Anomalous Dimensions for the Nonlinear $\sigma$ Model

Generalized Nonlinear $\Sigma$ Models With Gauge Invariance