1/N-expansions of σ-models in 2 and 4 dimensions: Taking them to their technical limits
Description
The mass gap and the magnetic susceptibility of the non-linear σ-model in 2d are given as functions of β to three leading orders in 1/N up to correlation lengths 300-400. Our results agree with Monte Carlo results for N≥3, and, for large β, with recent Bethe ansatz results for the correlation length. With applications to the Higgs sector of the Standard Model in mind, we have tested the precision of the 1/N-expansion of the N-component φ4 theory in 4d for N=4. In the theory's symmetric phase very satisfactory precision is obtained already to two leading orders in 1/N, except at very strong coupling. In the physically interesting broken phase prospects are less encouraging. (orig.)
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Additional details
Publishing Information
- Imprint Pagination
- 4 p.
- Report number
- NBI-HE--90-69
INIS
- Country of Publication
- Denmark
- Country of Input or Organization
- Denmark
- INIS RN
- 22029775
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ACCURACY; ASYMPTOTIC SOLUTIONS; CORRELATION FUNCTIONS; ENERGY GAP; FEYNMAN DIAGRAM; FOUR-DIMENSIONAL CALCULATIONS; HIGGS MODEL; LATTICE FIELD THEORY; LIMITING VALUES; MAGNETIC SUSCEPTIBILITY; NONLINEAR PROBLEMS; O GROUPS; PHI4-FIELD THEORY; POWER SERIES; REST MASS; SCALE INVARIANCE; SIGMA MODEL; STANDARD MODEL; SYMMETRY BREAKING; TWO-DIMENSIONAL CALCULATIONS; WEINBERG LEPTON MODEL
- Descriptors DEC
- BOSON-EXCHANGE MODELS; CONSTRUCTIVE FIELD THEORY; DIAGRAMS; DYNAMICAL GROUPS; FIELD THEORIES; FUNCTIONS; GRAND UNIFIED THEORY; INFORMATION; INVARIANCE PRINCIPLES; LIE GROUPS; MAGNETIC PROPERTIES; MASS; MATHEMATICAL MODELS; PARTICLE MODELS; PERIPHERAL MODELS; PHYSICAL PROPERTIES; QUANTUM FIELD THEORY; SERIES EXPANSION; SYMMETRY GROUPS; UNIFIED GAUGE MODELS