Comments on operators with large spin
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In this paper, the authors consider high spin operators and give a general argument for the logarithmic scaling of their anomalous dimensions which is based on the symmetries of the problem.Abstract:
We consider high spin operators. We give a general argument for the logarithmic scaling of their anomalous dimensions which is based on the symmetries of the problem. By an analytic continuation we can also see the origin of the double logarithmic divergence in the Sudakov factor. We show that the cusp anomalous dimension is the energy density for a flux configuration of the gauge theory on $AdS_3 \times S^1$. We then focus on operators in ${\cal N}=4$ super Yang Mills which carry large spin and SO(6) charge and show that in a particular limit their properties are described in terms of a bosonic O(6) sigma model. This can be used to make certain all loop computations in the string theory.read more
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N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
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References
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Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models
TL;DR: The general properties of the factorized S-matrix in two-dimensional space-time are considered in this article, where the relation between the factorization property of the scattering theory and the infinite number of conservation laws of the underlying field theory is discussed.
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Operator expansion for high-energy scattering
Ian Balitsky,Ian Balitsky +1 more
TL;DR: In this article, the leading logarithms for high-energy scattering can be obtained as a result of evolution of the non-local operators (straight-line ordered gauge factors) with respect to the slope of the straight line.
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An Effective field theory for collinear and soft gluons: Heavy to light decays
TL;DR: In this paper, the Lagrangian was constructed for an effective theory of highly energetic quarks with energy Q, interacting with collinear and soft gluons, and the heavy to light currents were matched onto operators in the effective theory at one loop.
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A semi-classical limit of the gauge/string correspondence
TL;DR: In this article, a world-sheet sigma model is applied to string theories dual to four-dimensional gauge theories, and semi-classical soliton solutions representing highly excited string states are identified which correspond to gauge theory operators with relatively small anomalous dimensions.
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Soft collinear factorization in effective field theory
TL;DR: In this article, the leading-order Lagrangian is derived using power counting and gauge invariance in the effective theory, and the factorization of soft and ultrasoft gluons from collinear particles is shown at the level of operators in effective field theory.