Filters
Results 1 - 1 of 1
Results 1 - 1 of 1.
Search took: 0.017 seconds
AbstractAbstract
[en] This review is devoted to the discussions of the parallels existing between four-dimensional gauge theories and two-dimensional sigma-models. Sigma-models are used as a laboratory allowing one to investigate such issues as the operator product expansion beyond perturbation theory, vacuum condensates, low energy theorems i.e. non-perturbative effects. The second part of the review represents a discussion of the supersymmetric 0(3) σ-model. The instanton-based method for calculating the exact Gell-Mann - Low function and fermionic condensate is considered in detail. Previously an analogue of this method has been used in four-dimensional Yang-Mills theories. The considered problems are: the instanton measure from purely classical analysis; a non-renormalisation theorem in self-dual external field; existence of vacuum condensates and their compatibility with supersymmetry
Original Title
Dvumernye sigma-modeli. Modelirovanie neperturbativnykh ehffektov kvantovoj khromodinamiki
Primary Subject
Source
For English translation see the journal Soviet Journal of Particles and Nuclei (USA).
Record Type
Journal Article
Journal
Fizika Ehlementarnykh Chastits i Atomnogo Yadra; ISSN 0367-2026;
; CODEN FECAA; v. 17(3); p. 472-545

Country of publication
ENERGY-MOMENTUM TENSOR, EXPECTATION VALUE, FEYNMAN DIAGRAM, FOUR-DIMENSIONAL CALCULATIONS, GAUGE INVARIANCE, INSTANTONS, LAGRANGIAN FUNCTION, LOW-ENERGY THEOREM, MATRIX ELEMENTS, O GROUPS, QUANTUM CHROMODYNAMICS, QUANTUM OPERATORS, REVIEWS, SERIES EXPANSION, SIGMA MODEL, SUPERSYMMETRY, TWO-DIMENSIONAL CALCULATIONS, VACUUM STATES, WARD IDENTITY
Reference NumberReference Number
INIS VolumeINIS Volume
INIS IssueINIS Issue