Comments on operators with large spin

By L. Alday, J. Maldacena. 2007

401 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0b18f5c2bb66a4e56f4486da88c3bec492d8b2e4

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In Nuclear and High Energy Physics

Citations in the corpus

Large spin systematics in CFT (2015, neutral): “In [9] a geometrical argument based on conformal symmetry, was given for both, the logarithmic behavior of single-trace operators (1.”
Spinning strings at one-loop in AdS(4) x P**3 (2008, methodology): “As discussed in [29] we can consider the fluctuations as the Goldstone bosons (or fermions for the fermionic fluctuations to be discussed in the next section).”
Erratum: On the structure of infrared singularities of gauge-theory amplitudes (2009, methodology): “More recently, investigations of high-spin operators in string theory using the AdS/CFT correspondence [14–16] have found a strong-coupling behavior that is inconsistent with Casimir scaling [17–19].”
From correlation functions to Wilson loops (2010, background): “The final result of the analysis in [31] is that for large t and σ one should think of the dynamics as happening in the two dimensions spanned by t, σ and the flux has constant energy density.”
The lightcone bootstrap and the spectrum of the 3d Ising CFT (2016, background): “It also follows from the physical arguments of [75].”
Space-time S-matrix and flux-tube S-matrix III. The two-particle contributions (2014, methodology): “The main point is that zeromomentum fermions act as supersymmetry generators [12].”
Introduction to Soft-Collinear Effective Theory (2014, background): “The Casimir scaling holds up to three loops [114], but it contradicts expectations from the AdS/CFT correspondence [115–117].”
Calculation of the quark and gluon form factors to three loops in QCD (2010, background): “Casimir scaling has been verified to three loops [29, 30], but it is an open question whether it holds at four loops and beyond [41].”
Four loop twist two, BFKL, wrapping and strings (2008, background): “Remarkably, in the limit when both M, J → ∞ such that j = J log M is kept fixed the leading logarithmic behaviour is governed by the cusp anomalous dimension and the ground-state energy density of the O(6) σ model [37, 38, 39, 40, 41, 42, 43].”
Loops in AdS from conformal field theory (2016, background): “which lead [35, 36, 55] to the following large spin behaviour for the anomalous dimensions of double-trace operators:”
Scattering amplitudes, Wilson loops and the string/gauge theory correspondence (2008, background): “t be renormalized away, but rather should cancel once gluon scattering amplitudes are combined to compute infraredsafe quantities. Their structure has been thoroughly studied and understood (see e.g. [27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39]). Here we brieﬂy review some of the results spe”
Universality of long-distance AdS physics from the CFT bootstrap (2014, methodology): “In fact, when the lowest-twist (τ = ∆ − `) operator appearing in both the O∗ AOA and O∗ BOB OPE is a conserved current, such as Tμν , the leading anomalous dimension at large angular momentum is [5–7] γAB(`) ∝ 1 `d−2 .”
Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection (2008, neutral): “he part in the forward lightcone) and at z= ǫ. We assume boost invariance so that the solution depends only on one variable. Let us deﬁne variables so that x± = eτ±σ and z= eτw(τ). Then the action is [58] S= Z dτ p (w′ + w)2 − 1 w2 (B.1) The ﬁrst integral is given by c= w(w+ w′)− 1 w2 p (w′ + w)2 − ”