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High orders perturbation theory and dual models for Yang-Mills theories · Around

2010

High orders perturbation theory and dual models for Yang-Mills theories

Zakharov, Valentin I.

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We start with the QCD sum rules which are originally based on the idea that it is the power-like corrections to the parton model which are related to the confinement.

The naive use of the Operator Product Expansion ensures that there is a 'gap' in the powers of $\Lambda_{QCD}$ which miss the quadratic terms and start with the quartic term, proportional to the gluon condensate, $<(G_{\mu\nu}^a)^2>$.
We review how this hypothesis stood against various checks through the last three decades and how it was modified through inclusion of the missing link, that is quadratic corrections.
In field theoretic language the quadratic corrections are dual to long perturbative series.

Built on

M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Nucl. Phys. B147
1979
Earlier work this paper cites.
D.V. Shirkov, I.L. Solovtsov, [arXiv:hep-ph/9604363]; Yu. L. Dokshitzer, G. Marchesini, B.R. Webber, Nucl. Phys. B469
1996
Earlier work this paper cites.
E. Witten, Adv. Theor. math. Phys. 2
1998
Earlier work this paper cites.
K.G. Chetyrkin, S. Narison and V.I. Zakharov, Nucl. Phys. B550
2001
Earlier work this paper cites.
S. Necco, R. Sommer, Phys. Lett. B523
2001
Earlier work this paper cites.
J. Maldacena, Phys. Rev. Lett. 80
2001
Earlier work this paper cites.
For a thorough review see S. Narison, QCD as a theory of hadrons, Cambridge Monogr. Part. Phys. Nucl. Phys. Cosmol
2002
Earlier work this paper cites.

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