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Title: Light-front holographic QCD and emerging confinement

Abstract

In this study we explore the remarkable connections between light-front dynamics, its holographic mapping to gravity in a higher-dimensional anti-de Sitter (AdS) space, and conformal quantum mechanics. This approach provides new insights into the origin of a fundamental mass scale and the physics underlying confinement dynamics in QCD in the limit of massless quarks. The result is a relativistic light-front wave equation for arbitrary spin with an effective confinement potential derived from a conformal action and its embedding in AdS space. This equation allows for the computation of essential features of hadron spectra in terms of a single scale. The light-front holographic methods described here give a precise interpretation of holographic variables and quantities in AdS space in terms of light-front variables and quantum numbers. This leads to a relation between the AdS wave functions and the boost-invariant light-front wave functions describing the internal structure of hadronic bound-states in physical spacetime. The pion is massless in the chiral limit and the excitation spectra of relativistic light-quark meson and baryon bound states lie on linear Regge trajectories with identical slopes in the radial and orbital quantum numbers. In the light-front holographic approach described here currents are expressed as an infinite summore » of poles, and form factors as a product of poles. At large q2 the form factor incorporates the correct power-law fall-off for hard scattering independent of the specific dynamics and is dictated by the twist. At low q2 the form factor leads to vector dominance. The approach is also extended to include small quark masses. We briefly review in this report other holographic approaches to QCD, in particular top-down and bottom-up models based on chiral symmetry breaking. We also include a discussion of open problems and future applications.« less

Authors:
 [1];  [2];  [3];  [4]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. Univ. of Costa Rica, San Pedro (Costa Rica)
  3. Institut fur Theoretische Physik, Heidelberg (Germany)
  4. College of William and Mary, Williamsburg, VA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1149335
Alternate Identifier(s):
OSTI ID: 1359752
Report Number(s):
SLAC-PUB-15972
Journal ID: ISSN 0370-1573; PII: S0370157315002306
Grant/Contract Number:  
AC02-76SF00515; PHY1068008; PHY-1068008
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physics Reports
Additional Journal Information:
Journal Volume: 584; Journal Issue: C; Journal ID: ISSN 0370-1573
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; phenomenology-HEP; theory-HEP; HEPPH; HEPTH

Citation Formats

Brodsky, Stanley J., de Téramond, Guy F., Dosch, Hans Günter, and Erlich, Joshua. Light-front holographic QCD and emerging confinement. United States: N. p., 2015. Web. doi:10.1016/j.physrep.2015.05.001.
Brodsky, Stanley J., de Téramond, Guy F., Dosch, Hans Günter, & Erlich, Joshua. Light-front holographic QCD and emerging confinement. United States. https://doi.org/10.1016/j.physrep.2015.05.001
Brodsky, Stanley J., de Téramond, Guy F., Dosch, Hans Günter, and Erlich, Joshua. 2015. "Light-front holographic QCD and emerging confinement". United States. https://doi.org/10.1016/j.physrep.2015.05.001. https://www.osti.gov/servlets/purl/1149335.
@article{osti_1149335,
title = {Light-front holographic QCD and emerging confinement},
author = {Brodsky, Stanley J. and de Téramond, Guy F. and Dosch, Hans Günter and Erlich, Joshua},
abstractNote = {In this study we explore the remarkable connections between light-front dynamics, its holographic mapping to gravity in a higher-dimensional anti-de Sitter (AdS) space, and conformal quantum mechanics. This approach provides new insights into the origin of a fundamental mass scale and the physics underlying confinement dynamics in QCD in the limit of massless quarks. The result is a relativistic light-front wave equation for arbitrary spin with an effective confinement potential derived from a conformal action and its embedding in AdS space. This equation allows for the computation of essential features of hadron spectra in terms of a single scale. The light-front holographic methods described here give a precise interpretation of holographic variables and quantities in AdS space in terms of light-front variables and quantum numbers. This leads to a relation between the AdS wave functions and the boost-invariant light-front wave functions describing the internal structure of hadronic bound-states in physical spacetime. The pion is massless in the chiral limit and the excitation spectra of relativistic light-quark meson and baryon bound states lie on linear Regge trajectories with identical slopes in the radial and orbital quantum numbers. In the light-front holographic approach described here currents are expressed as an infinite sum of poles, and form factors as a product of poles. At large q2 the form factor incorporates the correct power-law fall-off for hard scattering independent of the specific dynamics and is dictated by the twist. At low q2 the form factor leads to vector dominance. The approach is also extended to include small quark masses. We briefly review in this report other holographic approaches to QCD, in particular top-down and bottom-up models based on chiral symmetry breaking. We also include a discussion of open problems and future applications.},
doi = {10.1016/j.physrep.2015.05.001},
url = {https://www.osti.gov/biblio/1149335}, journal = {Physics Reports},
issn = {0370-1573},
number = C,
volume = 584,
place = {United States},
year = {Thu May 21 00:00:00 EDT 2015},
month = {Thu May 21 00:00:00 EDT 2015}
}

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Measurement of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>σ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mi>γ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>γ</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:math> and the dipion contribution to the muon anomaly with the KLOE detector
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Measurement of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>σ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math> from threshold to 0.85 GeV2 using initial state radiation with the KLOE detector
journal, June 2011


Precision measurement of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>σ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mi>γ</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">/</mml:mo><mml:mi>σ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mi>γ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and determination of the <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math> contribution to the muon anomaly with the KLOE detector
journal, March 2013


High-statistics study of the τ π π 0 ν τ decay
journal, October 2008


Parton distributions in impact parameter space
journal, August 2007


Hadronic momentum densities in the transverse plane
journal, October 2008


Generalized parton distributions in AdS/QCD
journal, February 2011


Generalized parton distributions in an AdS/QCD hard-wall model
journal, May 2012


Investigating generalized parton distribution in gravity dual
journal, February 2012


Flavor Decomposition of the Elastic Nucleon Electromagnetic Form Factors
journal, June 2011


Light-front quark model consistent with Drell-Yan-West duality and quark counting rules
journal, March 2014


Generalized parton distributions for the proton in AdS/QCD
journal, October 2013


Nucleon and flavor form factors in a light front quark model in AdS/QCD
journal, December 2013


Charge and magnetization densities in transverse coordinate and impact parameter space
journal, November 2014


Generalized parton distributions in the soft-wall model of AdS/QCD
journal, November 2014


Excited baryons in holographic QCD
conference, January 2012

  • Téramond, Guy F. de; Brodsky, Stanley J.
  • THE 8TH INTERNATIONAL WORKSHOP ON THE PHYSICS OF EXCITED NUCLEONS: NSTAR 2011, AIP Conference Proceedings
  • https://doi.org/10.1063/1.3701207

Electromagnetic nucleon-to-delta transition in holographic QCD
journal, September 2009


Electromagnetic baryon form factors from holographic QCD
journal, September 2008


Generalized baryon form factors and proton structure functions in the Sakai–Sugimoto model
journal, January 2013


The size of the proton
journal, July 2010


Pion Radius and Isovector Nucleon Radii in the Limit of Small Pion Mass
journal, November 1972


Dirac and Pauli form factors from lattice QCD
journal, October 2011


Adding flavor to AdS/CFT
journal, June 2002


Gauge theories on an interval:  Unitarity without a Higgs boson
journal, March 2004


The minimal composite Higgs model
journal, July 2005


Holographic estimate of oblique corrections for technicolor
journal, July 2006


Negative S Parameter from Holographic Technicolor
journal, September 2006


Geometric approach to condensates in holographic QCD
journal, April 2006


Holography and phenomenology
journal, August 2001


Behavior of Current Divergences under SU 3 × SU 3
journal, November 1968


Nonlinear boundary dynamics and chiral symmetry in holographic QCD
journal, June 2012


Holographic probes of anti–de Sitter spacetimes
journal, April 1999


Ads/CFT correspondence and symmetry breaking
journal, September 1999


Chiral condensate in holographic models of QCD
journal, April 2009


Strange mesons and kaon-to-pion transition form factors from holography
journal, December 2009


Quantum Phase Transitions and New Scales in QCD-like Theories
journal, May 2009


Baryon physics in holographic QCD
journal, March 2009


QCD and dimensional deconstruction
journal, March 2004


Chiral symmetry breaking and pions in nonsupersymmetric gauge/gravity duals
journal, March 2004


On The Characteristic Matrices of Covariant Systems
journal, December 1938


The particle aspect of meson theory
journal, November 1939


Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
journal, June 2013


Measurement of the photon light-cone wave function by diffractive dissociation
journal, November 2006


Light-Front Holography and Hadronization at the Amplitude Level
conference, January 2008

  • Brodsky, Stanley J.; de Téramond, Guy F.; Shrock, Robert
  • SIXTH INTERNATIONAL CONFERENCE ON PERSPECTIVES IN HADRONIC PHYSICS, AIP Conference Proceedings
  • https://doi.org/10.1063/1.3013071

Hamiltonian light-front field theory in a basis function approach
journal, March 2010


Emergent quantum criticality, Fermi surfaces, and AdS 2
journal, June 2011


Holographic Wilsonian flows and emergent fermions in extremal charged black holes
journal, November 2011


Baryon spectrum from superconformal quantum mechanics and its light-front holographic embedding
journal, February 2015


Superconformal baryon-meson symmetry and light-front holographic QCD
journal, April 2015


Quantum superconformal model in (1, 2) space
journal, September 1983


Anti-de Sitter boundary in Poincaré coordinates
journal, May 2007


Gravitational form factors in the axial sector from an AdS/QCD model
journal, June 2008


Bulk versus boundary dynamics in anti–de Sitter spacetime
journal, January 1999


Structure of hadron in Migdal's regularization scheme for QCD
journal, October 1977


Hadronic structure functions and form factors in low-order QCD with Migdal regularization
journal, January 1979


Hints on the power corrections from current correlators in x-space
journal, December 2001


The use of the finite energetic sum rules for the calculation of the light quark masses
journal, March 1983


Next-next-to-leading perturbative QCD corrections and light quark masses
journal, February 1984


Quark scalar current correlator in AdS/QCD approach
journal, October 2010


On a New Treatment of Some Eigenvalue Problems
journal, May 1941


The Factorization Method
journal, January 1951


Renormalization group flows from holography: Supersymmetry and a $c$-theorem
journal, January 1999


Spinors and the AdS/CFT correspondence
journal, July 1998


Note on the massive Rarita-Schwinger field in the AdS/CFT correspondence
journal, March 1999


Mesons and Baryons in a Soft-wall Holographic Approach
journal, August 2011


Relativistic dynamics on a null plane
journal, May 1978


The static potential in quantum chromodynamics
journal, August 1977


QCD and the string model
journal, January 1979


A new parameterization for the pion vector form factor
journal, August 2012


Glueball mass spectrum from supergravity
journal, January 1999


Extra gauge invariance from an extra dimension
journal, July 2008


Soft wall model in the hadronic medium
journal, August 2011


High-energy photon-hadron scattering in holographic QCD
journal, October 2011


Production of negative parity baryons in the holographic Sakai-Sugimoto model
journal, December 2012


SU(6) and Electromagnetic Interactions
journal, October 1964


The string/gauge theory correspondence in QCD
text, January 2007


AdS/CFT and Light-Front QCD
preprint, January 2008


Baryons with holography
text, January 2008


Light scalar mesons in the soft-wall model of AdS/QCD
text, January 2008


Chiral Symmetry Breaking in Soft-Wall AdS/QCD
text, January 2009


The Pomeron contribution to p p and p bar p scattering in AdS/QCD
text, January 2009


An AdS/QCD model from Sen's tachyon action
text, January 2010


An AdS/QCD holographic wavefunction for the rho meson
preprint, January 2012


SVZ + 1/q2 expansion versus some QCD holographic Models
text, January 2013


Light-front quark model consistent with Drell-Yan-West duality and quark counting rules
text, January 2013


Model of the AdS/QFT duality
text, January 2013


Hadronic Spectrum of a Holographic Dual of QCD
text, January 2005


Works referencing / citing this record:

Trends and Progress in Nuclear and Hadron Physics: A Straight or Winding Road
journal, January 2017


Fermions in worldline holography
journal, September 2017


Family of dilatons and metrics for AdS/QCD models
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QCD-Constrained Dynamical Spin Effects in the Pion Holographic Light-Front Wavefunction
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Predicting the light-front holographic TMDs of the pion
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Schwinger’s proper time and worldline holographic renormalization
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Thermal spectrum of pseudo-scalar glueballs and Debye screening mass from holography
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Hadron Spectra, Decays and Scattering Properties Within Basis Light Front Quantization
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The spin structure of the nucleon
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Octet meson spectra and chiral phase diagram in the improved soft-wall AdS/QCD model
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Cubic interaction vertices for N=1 arbitrary spin massless supermultiplets in flat space
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Baryons in a soft-wall AdS-Schwarzschild approach at low temperature
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Nonperturbative strange-quark sea from lattice QCD, light-front holography, and meson-baryon fluctuation models
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Conditions for Vacuum Instability in Holographic Theories with Dilaton Field
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Nonlinear Supersymmetry as a Hidden Symmetry
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Extended soft wall model with background related to features of QCD thermodynamics
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Elastic proton-proton scattering at LHC energies in holographic QCD
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Nonlinear symmetries of perfectly invisible PT-regularized conformal and superconformal mechanics systems
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Perspective on the Origin of Hadron Masses
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Determination of ${{\rm{\Lambda }}}_{\overline{{\rm{MS}}}}$ at five loops from holographic QCD
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Covariant extension of the GPD overlap representation at low Fock states
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Thrust distribution in electron-positron annihilation using the principle of maximum conformality
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Hidden symmetries of rationally deformed superconformal mechanics
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Frame dependence of transition form factors in light-front dynamics
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Computation of effective front form Hamiltonians for massive Abelian gauge theory
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A precise determination of the top-quark pole mass
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The spin structure of the nucleon
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Pre-Town Meeting on spin physics at an Electron-Ion Collider
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Meson/Baryon/Tetraquark Supersymmetry from Superconformal Algebra and Light-Front Holography
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The spin structure of the nucleon
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The Spin Structure of the Nucleon: Proceeding of International School of Nucleon Structure: 1st Course
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Family of dilatons and metrics for AdS/QCD models
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Bi-Local Holography in the SYK Model
text, January 2016


Fermions in worldline holography
text, January 2017


Frame dependence of form factors in light-front dynamics
text, January 2017


Electromagnetic structure of nucleon and Roper in soft-wall AdS/QCD
text, January 2017


Universality of Generalized Parton Distributions in Light-Front Holographic QCD
text, January 2018


Diffractive Vector Photoproduction using Holographic QCD
text, January 2018


$B_c$ mesons and their properties on the light front
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Klein four-group and Darboux duality in conformal mechanics
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Predicting the light-front holographic TMDs of the pion
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Radiative Corrections to Neutron and Nuclear Beta Decays Revisited
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Light-Front Holography in B Physics
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