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The 't Hooft Model As A Hologram

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arxiv 0710.3402 v2 pith:2YFPI65I submitted 2007-10-18 hep-th hep-ph

classification hep-thhep-ph
keywords equationhooftmodelconformalduallimitallowsbreaking
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider the 3d dual of 1+1 dimensional large-N_c QCD with quarks in the fundamental representation, also known as the 't Hooft model. 't Hooft solved this model by deriving a Schroedinger equation for the wavefunction of a parton inside the meson. In the scale-invariant limit, we show how this equation is related by a transform to the equation of motion for a scalar field in AdS_3. We thus find an explicit map between the `parton-x' variable and the radial coordinate of AdS_3. This direct map allows us to check the AdS/CFT prescription from the 2d side. We describe various features of the dual in the conformal limit and to the leading order in conformal symmetry breaking, and make some comments on the 3d theory in the fully non-conformal regime.

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  1. $\phi$-meson spectroscopy and diffractive production using two Schr\"odinger like equations on the light-front

    hep-ph 2025-01 conditional novelty 4.0 of 10

    A two-equation light-front model reproduces the phi meson mass spectrum and HERA diffractive production cross sections, but underpredicts its decay constant.

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