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V.I. Zakharov

Bio: V.I. Zakharov is an academic researcher from Max Planck Society. The author has contributed to research in topics: Quantum chromodynamics & Instanton. The author has an hindex of 27, co-authored 85 publications receiving 3534 citations. Previous affiliations of V.I. Zakharov include Istituto Nazionale di Fisica Nucleare.


Papers
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Journal ArticleDOI
TL;DR: In this paper, the mass scale intrinsic to the resonance structures in different channels is not universal; a large mass scale is discovered, for instance, in the 0 −, 0 + gluonic channels.

512 citations

Journal ArticleDOI
TL;DR: In this paper, the authors give an example of modeling phenomenological heavy-quark potentials in a five-dimensional framework known as AdS/QCD and emphasize the absence of infrared renormalons.
Abstract: We give an example of modeling phenomenological heavy-quark potentials in a five-dimensional framework nowadays known as AdS/QCD. In particular we emphasize the absence of infrared renormalons.

301 citations

Journal ArticleDOI
TL;DR: In this article, a simple explanation is given why the instanton amplitude is exhausted by one loop whilst in the standard supergraph technique the effective action contains terms of all orders in the coupling constant and an exact relation between the Gell-Mann-Low function and the anomalous dimensions of matter superfields stemming from instanton calculus is presented.

276 citations

Journal ArticleDOI
TL;DR: In this paper, the authors pointed out that the multi-gluon operators, relevant to the sum rules, do not factorize at large N c. This implies that the masterfield, even if it is found, will be of no immediate help in evaluating the quarkonium spectrum.

221 citations

Journal ArticleDOI
TL;DR: In this paper, the simplest n-point functions in supersymmetric Yang-Mills theories contributed by instantons are calculated and the result is not vanishing and discussed some implications of this.

199 citations


Cited by
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Journal ArticleDOI
TL;DR: In this article, the low energy representation of several Green's functions and form factors and of the na scattering amplitude are calculated in terms of a few constants, which may be identified with the coupling constants of a unique effective low energy Lagrangian.

3,277 citations

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TL;DR: In this paper, the authors construct the generating functional of U(3)×U(3), which allows them to calculate the Green functions up to and including terms of order p4 (at fixed radio m quark p 2 ) in terms of a few coupling constants which chiral symmetry leaves undetermined.

2,883 citations

Journal ArticleDOI
TL;DR: A twisted version of four dimensional supersymmetric gauge theory is formulated in this paper, which refines a nonrelativistic treatment by Atiyah and appears to underlie many recent developments in topology of low dimensional manifolds; the Donaldson polynomial invariants of four manifolds and the Floer groups of three manifolds appear naturally.
Abstract: A twisted version of four dimensional supersymmetric gauge theory is formulated. The model, which refines a nonrelativistic treatment by Atiyah, appears to underlie many recent developments in topology of low dimensional manifolds; the Donaldson polynomial invariants of four manifolds and the Floer groups of three manifolds appear naturally. The model may also be interesting from a physical viewpoint; it is in a sense a generally covariant quantum field theory, albeit one in which general covariance is unbroken, there are no gravitons, and the only excitations are topological.

2,568 citations

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TL;DR: In this paper, the authors review the present status of QCD corrections to weak decays beyond the leading-logarithmic approximation, including particle-antiparticle mixing and rare and $\mathrm{CP}$-violating decays.
Abstract: We review the present status of QCD corrections to weak decays beyond the leading-logarithmic approximation, including particle-antiparticle mixing and rare and $\mathrm{CP}$-violating decays. After presenting the basic formalism for these calculations we discuss in detail the effective Hamiltonians of all decays for which the next-to-leading-order corrections are known. Subsequently, we present the phenomenological implications of these calculations. The values of various parameters are updated, in particular the mass of the newly discovered top quark. One of the central issues in this review are the theoretical uncertainties related to renormalization-scale ambiguities, which are substantially reduced by including next-to-leading-order corrections. The impact of this theoretical improvement on the determination of the Cabibbo-Kobayashi-Maskawa matrix is then illustrated. [S0034-6861(96)00304-2]

2,277 citations

Journal ArticleDOI
TL;DR: In this article, the dispersion charmonium theory was extended to include power terms due to the nonperturbative effects of QCD, and an estimate for the gluonic vacuum expectation value was derived.

1,902 citations