Chiral symmetry breaking from five-dimensional spaces

By L. Rold, A. Pomarol. 2005

670 citations recorded by the source corpus.

Abstract Based on the AdS/CFT correspondence we study the breaking of the chiral symmetry in QCD using a simple five-dimensional model. The model gives definite predictions for the spectrum of vector mesons, their decay constants and interactions as a function of one parameter related to the quark condensate. We calculate the coefficients L i of the low-energy QCD chiral Lagrangian, as well as other physical quantities for the pions. All the predictions are shown to be in good agreement with the experimental data. We also show that they are robust under modifications of the 5D metric in the IR, and that some of them arise as a consequence of the higher-dimensional gauge symmetry. For example, at the tree-level, we find M ρ ≃ 3 g ρ π π F π , F ρ ≃ 3 F π and BR ( a 1 → π γ ) = 0 .

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/bee9d495988943618754524940300ff874d6c691

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Citations in the corpus

Light-front holographic QCD and emerging confinement (2014, methodology): “In AdS/QCD models it is reasonable to leave the effective scaling dimension ∆ of most operators as adjustable parameters, because renormalization modifies the scaling dimension of operators at low energies.”
From Gauge-string duality to strong interactions: A Pedestrian's guide (2009, background): “If we express the metric of the unit S5 as dΩ(2)5 = dθ 2 + cos(2) θ dψ(2) + sin(2) θ dΩ(2)3 , (9)”
Improved Holographic QCD (2010, background): “In the simplest bottom-up holographic model known as AdS/QCD [7], the bulk viscos- ity is zero as conformal invariance is essentially not broken (the stress tensor is traceless), and the drag force and jet quenching essentially retain their conformal values.”
Dynamics of baryons from string theory and vector dominance (2007, methodology): “The recent development in applying the concept and the methodology of AdS/CFT duality [1] to low-energy hadron dynamics, referred to as the holographic QCD or AdS/QCD, brings out two related issues from opposite directions, one top-down from string theory [2, 3] and the other bottom-up from low-ener”
Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, methodology): “(ii) Bottom up approach: In this approach, one looks at the hadron phenomenology of QCD first and then attempts to build its 5D-gravity equivalent model in AdS5 space-time by introducing appropriate fields and modifying the geometry of the extra dimension to reproduce the phenomenology [111, 112, 11”
Interpolating between low and high energy QCD via a 5D Yang-Mills model (2005, methodology): “In [42, 43 ], deformations were introduced by a 5D scalar field obtaining a vacuum expectation value.”
Chiral symmetry breaking as open string tachyon condensation (2007, methodology): “The UV behavior (2.9) is the same as the one for the scalar breaking the chiral symmetry in the AdS/QCD models [13, 14].”
Improved holographic Yang–Mills at finite temperature: Comparison with data (2009, background): “In the bottom-up holographic model of AdS/QCD [7], the bulk viscosity is zero as conformal invariance is essentially not broken (the stress tensor is traceless).”
Mesons in gauge/gravity duals (2007, methodology): “13) We reproduce the results from [222] in following table: Experiment AdS5 L1 0.”
Holographic meson melting (2006, methodology): “It is of high interest to apply our approach to meson melting also to other models, such as models with non-Abelian chiral symmetries [18] or the phenomenological holographic models of QCD developed in [38].”
Holographic models for QCD in the Veneziano limit (2011, methodology): “This dynamics was analyzed in a toy example, [55], improving several aspects of the hard [25], and soft wall models, [47].”