Linear confinement and AdS/QCD

By A. Karch, E. Katz, D. Son, M. Stephanov. 2006

1,003 citations recorded by the source corpus.

In a theory with linear confinement, such as QCD, the masses squared m^2 of mesons with high spin S or high radial excitation number n are expected, from semiclassical arguments, to grow linearly with S and n. We show that this behavior can be reproduced within a putative 5-dimensional theory holographically dual to QCD (AdS/QCD). With the assumption that such a dual theory exists and describes highly excited mesons as well, we show that asymptotically linear m^2 spectrum translates into a strong constraint on the INFRARED behavior of that theory. In the simplest model which obeys such a constraint we find m^2 ~ (n+S).

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/59d981b6479aea6e1dd0db4df2d8d82c870c12e9

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In Nuclear and High Energy Physics

Citations in the corpus

SIMP spectroscopy (2015, methodology): “We take the decay constants from the soft wall model [45], F 2 ρn = m(2)ρnm 2 ρ1Nc 24π2 , (6.”
Improved holographic Yang–Mills at finite temperature: Comparison with data (2009, background): “In this respect it is in the same class as the models based on pure AdS backgrounds (with hard or soft walls) [7, 8, 32, 33], or on IR deformations of the AdS metric [34, 35].”
The QCD running coupling (2016, methodology): “Light-front holography also implies that the potential V (ζ(2)) = κ(4)ζ(2) appearing in the meson LFSE can be obtained by modifying AdS5 space using a specific “dilaton profile” e±κ 2z2 [130, 206] (The plus sign dilaton profile is required in light-front holographic QCD [130]).”
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].”
Multiquark Resonances (2016, methodology): “AB→CD = S Iflavor Icolor Ispin Ispace (3.49) Here S = ±1 is ‘signature’ factor that takes into account the permutation of fermion operators in the scattering matrix elements, Iflavor is the overlap coefficient between the flavor states of the incoming and outgoing mesons, Icolor is the color factor ”
Entanglement as a probe of confinement (2007, background): “Another popular phenomenological model is the “soft wall” model where space-time has the geometry of AdS5, while φ(U) blows up in the IR [ 26 ]: ds25 = U 2 U −4dU2 + dxµdxµ � , φ(U) = U −2 . (70)”
Holography and thermodynamics of 5D dilaton-gravity (2008, neutral): “A phenomenological fix of the last problem was suggested by introducing a soft IR wall, [16].”
Nonperturbative QCD coupling and its β function from light-front holography (2010, methodology): “[17] also uses the AdS/QCD framework [21, 22], where bulk fields are introduced to match the SU(2)L × SU(2)R chiral symmetries of QCD and its spontaneous breaking, but without an explicit connection to the internal constituent structure of hadrons.”
Chiral symmetry breaking as open string tachyon condensation (2007, background): “The IR condition for physical excitations is simply the normalizability of the action [16].”
Light-front holographic QCD and emerging confinement (2014, methodology): “34) and the following form of the action [61]”
Improved Holographic QCD (2010, background): “The emergence of an IR mass scale and the finite temperature phase structure are built-in: they need not be imposed by hand and do not suffer from ambiguities related to IR boundary conditions (as in hard wall models) or from inconsistencies in the laws of thermodynamics (as in non-dynamical soft wa”
Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts (2007, methodology): “This semiclassical picture can be reproduced within a ‘5-dimensional theory holographically dual to strongly coupled QCD (AdS/QCD)’.”
STUDIES OF NUCLEON RESONANCE STRUCTURE IN EXCLUSIVE MESON ELECTROPRODUCTION (2012, background): “[269], since it leads to linear Regge trajectories consistent with the light-quark hadron spectroscopy and avoids the ambiguities in the choice of boundary conditions at the infrared wall.”
Heavy-quark potentials and AdS/QCD (2006, background): “It was recently pointed out [ 6 , 7] that asymptotic linearity of Regge trajectories arises for some backgrounds.”
Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions (2007, background): “Alternatively, one can introduce a dilaton field [10] which provides a confinement potential −κ(2)ζ(2) to the effective potential V (ζ).”