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Journal ArticleDOI

Baryons in the 1/n Expansion

Edward Witten1
26 Nov 1979-Nuclear Physics (North-Holland)-Vol. 160, Iss: 1, pp 57-115
TL;DR: In this article, the existing results concerning mesons and glue states in the large-N limit of QCD are reviewed, and it is shown how to fit baryons into this picture.
About: This article is published in Nuclear Physics.The article was published on 1979-11-26. It has received 1934 citations till now. The article focuses on the topics: Quantum chromodynamics & 1/N expansion.
Citations
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Journal ArticleDOI
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: In this article, the authors demonstrate electric-magnetic duality in N = 1 supersymmetric non-Abelian gauge theories in four dimensions by presenting two different gauge theories (different gauge groups and quark representations) leading to the same non-trivial long distance physics.

1,775 citations

Journal ArticleDOI
TL;DR: In this paper, the static properties of baryons in an SU(2) × SU (2) chiral theory (the Skyrme model) whose solitons can be interpreted as the Baryons of QCD were derived.

1,383 citations

Journal ArticleDOI
TL;DR: In this article, the strong interactions of low-lying meson resonances (spin ⩽ 1) with the octet of pseudoscalar mesons ( π, K, η ) are considered to lowest order in the derivative expansion of chiral SU(3).

1,239 citations

References
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Journal ArticleDOI
Gerard 't Hooft1
TL;DR: In this article, it was shown that in all those gauge theories in which the electromagnetic group U(1) is taken to be a subgroup of a larger group with a compact covering group, like SU(2) or SU(3), genuine magnetic monopoles can be created as regular solutions of the field equations.

2,689 citations

Journal ArticleDOI
Gerard 't Hooft1
TL;DR: In this paper, a recently proposed gauge theory for strong interactions, in which the set of planar diagrams play a dominant role, is considered in one space and one time dimension, and it can be reduced to self-energy and ladder diagrams, and they can be summed.

1,465 citations

Journal ArticleDOI
TL;DR: The massive Schwinger model is a quantum electrodynamics of a Dirac particle of mass m and charge e in 1 + 1 dimensions as mentioned in this paper, and it is known that the physics of the model depends on an arbitrary parameter independent of e and m, an angle, θ,|θ| ⩽ π.

676 citations

Journal ArticleDOI
TL;DR: In this paper, the quantum theory of solitons is described, and the scattering matrix for the processes with soliton is defined within the functional integral formalism, where the Lorentz-invariant perturbation theory is consistently set up.

258 citations

Journal ArticleDOI
TL;DR: A canonical Hamiltonian formulation for the general time-dependent variational principle associated with the Schroedinger equation is discussed in this article, which is used for a wide range of systems including the many body problem and field theory.

246 citations