The ’t Hooft Model As A Hologram
نویسنده
چکیده
We consider the 3d dual of 1 + 1 dimensional large-Nc QCD with quarks in the fundamental representation, also known as the ’t Hooft model. ’t Hooft solved this model by deriving a Schrödinger 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 AdS3. We thus find an explicit map between the ‘parton-x’ variable and the radial coordinate of AdS3. 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. ar X iv :0 71 0. 34 02 v1 [ he pth ] 1 8 O ct 2 00 7
منابع مشابه
Fragment-Based Hologram QSAR Studies on a Series of 2,4-Dioxopyrimidine-1-Carboxamides As Highly Potent Inhibitors of Acid Ceramidase
A series of structurally related 2,4-dioxopyrimidine-1-carboxamide derivatives as highly potent inhibitors against acid ceramidase were subjected to hologram quantitative structure-activity relationship (HQSAR) analysis. A training set containing 24 compounds served to establish the HQSAR model. The best HQSAR model was generated using atoms, bond, connectivity, donor and acceptor as fragment d...
متن کاملComparative Study between Hologram Technology and Augmented Reality
The great development witnessed by our current age has led to the emergence of many diverse modern technologies, one of these advanced technologies is Hologram technology and Augmented reality technology, These two technologies are somewhat similar to somewhat, as it can be said that they perform almost the same purpose, and at the same time, Hologram technology differs from augmented reality i...
متن کاملFragment-Based Hologram QSAR Studies on a Series of 2,4-Dioxopyrimidine-1-Carboxamides As Highly Potent Inhibitors of Acid Ceramidase
A series of structurally related 2,4-dioxopyrimidine-1-carboxamide derivatives as highly potent inhibitors against acid ceramidase were subjected to hologram quantitative structure-activity relationship (HQSAR) analysis. A training set containing 24 compounds served to establish the HQSAR model. The best HQSAR model was generated using atoms, bond, connectivity, donor and acceptor as fragment d...
متن کاملLifetime Differences of Charmed Mesons in the ’t Hooft Model
In this report I will be showing how to use meson wave functions and masses to find the decay width difference between the two mass eigenstates of the D0 meson. Due to a large coupling at small energies in QCD, perturbation theory unfortunately does us no good. However, there does exist a model that attempts to keep as much of the QCD Lagrangian as possible. The model was developed by Gerard t’...
متن کاملStrongly Coupled 't Hooft Model on the Lattice *
A lattice strong coupling calculation of the spectrum and chiral condensate of the 't Hooft model is presented. The agreement with the results of the continuum theory is strikingly good even at the fourth order in the strong coupling expansions.
متن کامل