Comments on operators with large spin
TLDR
In this article, 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 AdS3 × S1. We then focus on operators in = 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
Citations
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N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
TL;DR: In this paper, the authors constructed three dimensional Chern-Simons-matter theories with gauge groups U(N) × U(n) and SU(N), SU(2) × SU (2) which have explicit = 6 superconformal symmetry.
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The analytic bootstrap and AdS superhorizon locality
TL;DR: In this article, it was shown that every CFT with a scalar operator ϕ must contain infinite sequences of operators with twist approaching τ → 2Δ + 2n for each integer n as l → ∞.
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Convexity and Liberation at Large Spin
TL;DR: In this article, the authors investigated the dimensions of unitary higher-dimensional conformal field theories (CFTs) via the crossing equations in the light-cone limit and found that CFTs become free at large spin and 1/s is a weak coupling parameter.
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Causality Constraints on Corrections to the Graviton Three-Point Coupling
TL;DR: In this article, higher derivative corrections to the graviton three-point coupling within a weakly coupled theory of gravity were considered, and it was shown that the gravity wave non-gaussianity deviates significantly from the one computed in the Einstein theory.
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Universality of Long-Distance AdS Physics from the CFT Bootstrap
TL;DR: In this article, a recent proof of the cluster decomposition principle in AdS�4 from the CFT�3 bootstrap is presented, which requires knowledge of the Virasoro conformal blocks in a lightcone OPE limit.
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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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.
Journal ArticleDOI
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.
Journal ArticleDOI
Asymptotically Free Gauge Theories. I
David J. Gross,Frank Wilczek +1 more
TL;DR: In this paper, the renormalization-group equations are derived for Yang-Mills theories and the parameters that enter into the equations are calculated to lowest order and it is shown that these theories are asymptotically free.
Book ChapterDOI
Factorization of Hard Processes in QCD
TL;DR: In this article, the standard factorization theorems for hard processes in QCD are summarized and their proofs are presented, together with a discussion of the standard QCD QCD factorization theorem.