Search results for " ’t Hooft and Polyakov loops"

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Subleading Regge limit from a soft anomalous dimension

2018

Wilson lines capture important features of scattering amplitudes, for example soft effects relevant for infrared divergences, and the Regge limit. Beyond the leading power approximation, corrections to the eikonal picture have to be taken into account. In this paper, we study such corrections in a model of massive scattering amplitudes in N = 4 super Yang-Mills, in the planar limit, where the mass is generated through a Higgs mechanism. Using known three-loop analytic expressions for the scattering amplitude, we find that the first power suppressed term has a very simple form, equal to a single power law. We propose that its exponent is governed by the anomalous dimension of a Wilson loop w…

High Energy Physics - TheoryNuclear and High Energy PhysicsWilson loopScalar (mathematics)FOS: Physical sciencesComputer Science::Digital Libraries01 natural sciencesPower lawSupersymmetric Gauge Theorysymbols.namesakeHigh Energy Physics - Phenomenology (hep-ph)0103 physical scienceslcsh:Nuclear and particle physics. Atomic energy. RadioactivityScattering Amplitudes010306 general physicsMathematical physicsPhysics010308 nuclear & particles physicsEikonal equation16. Peace & justiceWilson ’t Hooft and Polyakov loopsScattering amplitudeHigh Energy Physics - PhenomenologyAmplitudeHigh Energy Physics - Theory (hep-th)Computer Science::Mathematical SoftwareExponentsymbolslcsh:QC770-798Higgs mechanismJournal of High Energy Physics
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Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles

2019

We compute the fermionic contributions to the cusp anomalous dimension in QCD at four loops as an expansion for small cusp angle. As a byproduct we also obtain the respective terms of the four-loop HQET wave function anomalous dimension. Our new results at small angles provide stringent tests of a recent conjecture for the exact angle dependence of the matter terms in the four-loop cusp anomalous dimension. We find that the conjecture does not hold for two of the seven fermionic color structures, but passes all tests for the remaining terms. This provides strong support for the validity of the corresponding conjectured expressions with full angle dependence. Taking the limit of large Minkow…

High Energy Physics - TheoryNuclear and High Energy PhysicsConformal anomalyFOS: Physical sciencesConformal map01 natural sciencesTheoretical physicsHigh Energy Physics - Phenomenology (hep-ph)Dimension (vector space)Perturbative QCD0103 physical scienceslcsh:Nuclear and particle physics. Atomic energy. RadioactivityScattering Amplitudes010306 general physicsWave functionQuantum chromodynamicsCusp (singularity)Physics010308 nuclear & particles physicsPerturbative QCDEffective Field TheoriesWilson ’t Hooft and Polyakov loopsScattering amplitudeHigh Energy Physics - PhenomenologyHigh Energy Physics - Theory (hep-th)lcsh:QC770-798Journal of High Energy Physics
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