Strong coupling expansion for the conformal Pomeron/Odderon trajectories

Brower, Richard C.; Costa, Miguel S.; Djurić, Marko; Raben, Timothy G.; Tan, Chung-I

doi:10.1007/jhep02(2015)104

Cited by 26 publications

(46 citation statements)

References 61 publications

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“…This result is in agreement with the strong coupling AdS/CFT results of refs. [76,77]. The present argument however says nothing beyond the planar limit.…”

Section: Jhep05(2015)093mentioning

confidence: 61%

When does the gluon reggeize?

Caron-Huot

2015

J. High Energ. Phys.

137

346

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Abstract:We propose the eikonal approximation as a simple and reliable tool to analyze relativistic high-energy processes, provided that the necessary subtleties are accounted for. An important subtlety is the need to include eikonal phases for a rapidity-dependent collection of particles, as embodied by the Balitsky-JIMWLK rapidity evolution equation. In the first part of this paper, we review how the phenomenon of gluon reggeization and the BFKL equations can be understood simply (but not too simply) in the eikonal approach. We also work out some previously overlooked implications of BFKL dynamics, including the observation that starting from four loops it is incompatible with a recent conjecture regarding the structure of infrared divergences. In the second part of this paper, we propose that in the strict planar limit the theory can be developed to all orders in the coupling with no reference at all to the concept of "reggeized gluon." Rather, one can work directly with a finite, process-dependent, number of Wilson lines. We demonstrate consistency of this proposal by an exact computation in N=4 super Yang-Mills, which shows that in processes mediated with two Wilson lines the reggeized gluon appears in the weak coupling limit as a resonance whose width is proportional to the coupling. We also provide a precise operator definition of Lipatov's integrable spin chain, which is manifestly integrable at any value of the coupling as a result of the duality between scattering amplitudes and Wilson loops in this theory.

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“…This result is in agreement with the strong coupling AdS/CFT results of refs. [76,77]. The present argument however says nothing beyond the planar limit.…”

Section: Jhep05(2015)093mentioning

confidence: 61%

When does the gluon reggeize?

Caron-Huot

2015

J. High Energ. Phys.

137

346

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“…It follows that the conventional discrete sum over spin would no longer converge. As explained in [51], a Sommerfeld-Watson resummation leads to a double-Mellin representation…”

Section: C1 Ope In Minkowski Settingmentioning

confidence: 98%

“…We examine the use of the t-channel OPE [15,51] for high energy scattering, elucidate subtleties involved in using generalized optical theorems, and pay special attention to non-perturbative issues. In 2 The Landau-Cutkosky singularities for Lorentzian correlation functions in CFTs with a gravity dual has recently been addressed in [50].…”

Section: Jhep11(2017)075mentioning

confidence: 99%

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Inclusive production through AdS/CFT

Nally

Raben

Tan

2017

J. High Energ. Phys.

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It has been shown that AdS/CFT calculations can reproduce certain exclusive 2→2 cross sections in QCD at high energy, both for near-forward and for fixed-angle scattering. In this paper, we extend prior treatments by using AdS/CFT to calculate the inclusive single-particle production cross section in QCD at high center-of-mass energy. We find that conformal invariance in the UV restricts the cross section to have a characteristic power-law falloff in the transverse momentum of the produced particle, with the exponent given by twice the conformal dimension of the produced particle, independent of incoming particle types. We conclude by comparing our findings to recent LHC experimental data from ATLAS and ALICE, and find good agreement.

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“…Here we review previous efforts, and describe our program in progress, for observing BFKL effects at the current LHC collider kinematics 6 . We are focused on exclusive and inclusive dijet production as in Figure 2.…”

Section: Dijet Processesmentioning

confidence: 99%