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Novikov V.A., Shifman M.A., Vainstein A.I. — Two dimensional sigma-models: modelling non-perturbative effects in quantum chromodynamics
Novikov V.A., Shifman M.A., Vainstein A.I. — Two dimensional sigma-models: modelling non-perturbative effects in quantum chromodynamics

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Название: Two dimensional sigma-models: modelling non-perturbative effects in quantum chromodynamics

Авторы: Novikov V.A., Shifman M.A., Vainstein A.I.

Аннотация:

This review is devoted to the discussion of the parallel existing between four-dimensional gauge theories and two-dimensional sigma models. We use sigma models as a laboratory allowing us to investigate such issues as the operator product expansion beyond perturbation theory, vacuum
condensates, low-energy theorems and other non-perturbative aspects. All these questions are intensively discussed in the current literature, and we give a critical analysis of the situation. In particular, it is explained that, contrary to recent claims, one can define the operator product expansion
beyond perturbation theory in a perfectly consistent way, with no ambiguities. The second part of the review represents a detailed discussion of the supersymmetric 0C) sigma model. After a simple description of the model we concentrate on instantons. The instanton-based method for calculating the exact Gell-Mann-Low function and bifermionic condensates is
described. An analogue of this method has been previously used by us in four-dimensional Yang-Mills theories. Here we try to elucidate all aspects
of the method in simplified conditions. The basic points are: (i) the instanton measure from purely classical analysis; (ii) a non-renormalization
theorem in self-dual external fields; (iii) existence of vacuum condensates and their compatibility with supersymmetry. Pursuing pedagogical purposes we use much space for technical details and computations.


Язык: en

Рубрика: Физика/Квантовая теория поля/Квантовая хромодинамика/

Статус предметного указателя: Нет и не будет

ed2k: ed2k stats

Год издания: 1984

Количество страниц: 69

Добавлена в каталог: 24.09.2005

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