Supersymmetric Properties of Hadron Physics from Light-Front Holography and Superconformal Algebra and other Advances in Light-Front QCD

Brodsky, Stanley J.

doi:10.1007/s00601-018-1342-6

Title: Supersymmetric Properties of Hadron Physics from Light-Front Holography and Superconformal Algebra and other Advances in Light-Front QCD

Abstract

Here, light-front holography, together with superconformal algebra, have provided new insights into the physics of color confinement and the spectroscopy and dynamics of hadrons. As shown by de Alfaro, Fubini and Furlan, a mass scale can appear in the equations of motion without affecting the conformal invariance of the action if one adds a term to the Hamiltonian proportional to the dilatation operator or the special conformal operator. If one applies the procedure of de Alfaro et al. to the frame-independent light-front Hamiltonian, it leads uniquely to a confining qq¯ potential κ⁴ζ², where ζ² is the light-front radial variable related in momentum space to the qq¯ invariant mass. The same result, including spin terms, is obtained using light-front holography—the duality between the front form and AdS₅, the space of isometries of the conformal group—if one modifies the action of AdS₅ by the dilaton e^κ²^z² in the fifth dimension z. When one generalizes this procedure using superconformal algebra, the resulting light-front eigensolutions lead to a a unified Regge spectroscopy of meson, baryon, and tetraquarks, including supersymmetric relations between their masses and their wavefunctions. One also predicts hadronic light-front wavefunctions and observables such as structure functions, transverse momentum distributions, and the distributionmore »« less

Authors:

^[1]

Stanford Univ., Stanford, CA (United States). SLAC National Accelerator Lab.

Publication Date:: Tue Mar 06 00:00:00 EST 2018

Research Org.:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1434677

Report Number(s):: SLAC-PUB-17202
Journal ID: ISSN 0177-7963; PII: 1342; TRN: US1802561

Grant/Contract Number:: AC02-76SF00515

Resource Type:: Accepted Manuscript

Journal Name:: Few-Body Systems

Additional Journal Information:: Journal Volume: 59; Journal Issue: 3; Journal ID: ISSN 0177-7963

Publisher:: Springer

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Light-Front Holography; QCD; Superconformal Algebra

Citation Formats


                    Brodsky, Stanley J. Supersymmetric Properties of Hadron Physics from Light-Front Holography and Superconformal Algebra and other Advances in Light-Front QCD.  United States: N. p., 2018. 
Web.  doi:10.1007/s00601-018-1342-6.

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                    Brodsky, Stanley J. Supersymmetric Properties of Hadron Physics from Light-Front Holography and Superconformal Algebra and other Advances in Light-Front QCD.  United States.  https://doi.org/10.1007/s00601-018-1342-6

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                    Brodsky, Stanley J. Tue .  
"Supersymmetric Properties of Hadron Physics from Light-Front Holography and Superconformal Algebra and other Advances in Light-Front QCD".  United States.  https://doi.org/10.1007/s00601-018-1342-6.  https://www.osti.gov/servlets/purl/1434677.

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@article{osti_1434677,

  title        = {Supersymmetric Properties of Hadron Physics from Light-Front Holography and Superconformal Algebra and other Advances in Light-Front QCD},

  author       = {Brodsky, Stanley J.},

  abstractNote = {Here, light-front holography, together with superconformal algebra, have provided new insights into the physics of color confinement and the spectroscopy and dynamics of hadrons. As shown by de Alfaro, Fubini and Furlan, a mass scale can appear in the equations of motion without affecting the conformal invariance of the action if one adds a term to the Hamiltonian proportional to the dilatation operator or the special conformal operator. If one applies the procedure of de Alfaro et al. to the frame-independent light-front Hamiltonian, it leads uniquely to a confining qq¯ potential κ4ζ2, where ζ2 is the light-front radial variable related in momentum space to the qq¯ invariant mass. The same result, including spin terms, is obtained using light-front holography—the duality between the front form and AdS5, the space of isometries of the conformal group—if one modifies the action of AdS5 by the dilaton eκ2z2 in the fifth dimension z. When one generalizes this procedure using superconformal algebra, the resulting light-front eigensolutions lead to a a unified Regge spectroscopy of meson, baryon, and tetraquarks, including supersymmetric relations between their masses and their wavefunctions. One also predicts hadronic light-front wavefunctions and observables such as structure functions, transverse momentum distributions, and the distribution amplitudes. The mass scale κ underlying confinement and hadron masses can be connected to the parameter ΛMS¯ in the QCD running coupling by matching the nonperturbative dynamics to the perturbative QCD regime. The result is an effective coupling αs(Q2) defined at all momenta. The matching of the high and low momentum transfer regimes determines a scale Q0 which sets the interface between perturbative and nonperturbative hadron dynamics. I also discuss a number of applications of light-front phenomenology.},

  doi          = {10.1007/s00601-018-1342-6},

  journal      = {Few-Body Systems},

  number       = 3,

  volume       = 59,

  place        = {United States},

  year         = {Tue Mar 06 00:00:00 EST 2018},

  month        = {Tue Mar 06 00:00:00 EST 2018}

}

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Cited by 1
https://doi.org/10.1007/s00601-017-1292-4

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Color Confinement, Hadron Dynamics, and Hadron Spectroscopy from Light-Front Holography and Superconformal Algebra

Journal Article Brodsky, Stanley J. - Advances in High Energy Physics

Tmore »« less
Cited by 4
https://doi.org/10.1155/2018/7236382
Light-front holography and superconformal quantum mechanics: A new approach to hadron structure and color confinement

Conference Brodsky, Stanley J. ; Deur, Alexandre ; de Téramond, Guy F. ; ...

A primary question in hadron physics is how the mass scale for hadrons consisting of light quarks, such as the proton, emerges from the QCD Lagrangian even in the limit of zero quark mass. If one requires the effective action which underlies the QCD Lagrangian to remain conformally invariant and extends the formalism of de Alfaro, Fubini and Furlan to light-front Hamiltonian theory, then a unique, color-confining potential with a mass parametermore »« less
https://doi.org/10.1142/s2010194515600812

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Supersymmetric and Conformal Features of Hadron Physics

Journal Article Brodsky, Stanley - Universe

The QCD Lagrangian is based on quark and gluonic fields—not squarks nor gluinos. However, one can show that its hadronic eigensolutions conform to a representation of superconformal algebra, reflecting the underlying conformal symmetry of chiral QCD. The eigensolutions of superconformal algebra provide a unified Regge spectroscopy of meson, baryon, and tetraquarks of the same parity and twist as equal-mass members of the same 4-plet representation with a universal Regge slope. The predictions from light-front holography and superconformal algebra can also be extended to mesons, baryons, and tetraquarks with strange, charm and bottom quarks. The pionmore »« less
https://doi.org/10.3390/universe4110120

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Title: Supersymmetric Properties of Hadron Physics from Light-Front Holography and Superconformal Algebra and other Advances in Light-Front QCD

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Citation Formats

Threefold complementary approach to holographic QCD journal, February 2014

Process-independent strong running coupling journal, September 2017

Commensurate scale relations in quantum chromodynamics journal, April 1995

Renormalization group improved perturbative QCD journal, September 1980

Connecting the hadron mass scale to the fundamental mass scale of quantum chromodynamics journal, November 2015

Generalized parton distributions and transverse densities in a light-front quark–diquark model for the nucleons journal, June 2015

Production and discovery of true muonium in fixed-target experiments journal, November 2012

Conformal invariance in quantum mechanics journal, August 1976

Three-Loop Static Potential journal, March 2010

Review of Particle Physics journal, August 2014

Single-spin asymmetries in semi-inclusive deep inelastic scattering and Drell-Yan processes journal, July 2013

Structure functions are not parton probabilities journal, June 2002

Meson transition form factors in light-front holographic QCD journal, October 2011

Hadron spectroscopy and dynamics from light-front holography and conformal symmetry journal, January 2014

Chiral magnetism (or magnetohadrochironics) journal, January 1974

Possible multiparticle ridge-like correlations in very high multiplicity proton–proton collisions journal, October 2013

Phases of augmented hadronic light-front wave functions journal, April 2010

Angular momentum conservation law in light-front quantum field theory journal, March 2017

Partonic Picture of Gtmds journal, January 2014

Superconformal quantum mechanics journal, January 1984

The Light-Front Schrödinger Equation and the Determination of the Perturbative QCD Scale from Color Confinement: A First Approximation to QCD journal, March 2015

Light-front holographic QCD and emerging confinement journal, July 2015

Large transverse momentum processes journal, January 1976

Baryon properties from light-front holographic QCD journal, November 2015

Invisibility of the Lorentz Contraction journal, November 1959

Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering journal, March 2002

Dynamic versus Static Hadronic Structure Functions journal, August 2009

Production of the Smallest QED Atom: True Muonium ( μ + μ − ) journal, May 2009

Light-cone wavefunction representation of deeply virtual Compton scattering journal, February 2001

Large-Angle Scattering and the Interchange Force journal, July 1973

Anomalous magnetic moment and limits on fermion substructure journal, November 1980

AdS/QCD Holographic Wave Function for the ρ Meson and Diffractive ρ Meson Electroproduction journal, August 2012

Quantum chromodynamics and other field theories on the light cone journal, August 1998

Measurement of light-cone wave functions by diffractive dissociation journal, December 2000

Supersymmetry across the light and heavy-light hadronic spectrum journal, October 2015

Light-front holography and superconformal quantum mechanics: A new approach to hadron structure and color confinement journal, January 2015

Production of hadrons at large transverse momentum at 200, 300, and 400 GeV journal, June 1975

Nuclear antishadowing in neutrino deep inelastic scattering journal, December 2004

Dark Energy and the Cosmological Constant Paradox journal, June 2008

Nonperturbative QCD coupling and its β function from light-front holography journal, May 2010

AdS/QCD and light front holography: A new approximation to QCD journal, September 2010

Experimental determination of the effective strong coupling constant journal, July 2007

The baryon anomaly: Evidence for color transparency and direct hadron production at RHIC journal, October 2008

Forms of Relativistic Dynamics journal, July 1949

Condensates in quantum chromodynamics and the cosmological constant journal, December 2010

Shadowing and antishadowing of nuclear structure functions journal, March 1990

Higher-Twist Dynamics in Large Transverse Momentum Hadron Production journal, August 2010

Measurement of light-cone wave functions by diffractive dissociation journal, April 2002

The apparent shape of a relativistically moving sphere journal, January 1959

Quantum Electrodynamics and Renormalization Theory in the Infinite-Momentum Frame journal, December 1973

Light-front formulation of the standard model journal, August 2002

Novel QCD Phenomena at the LHC: The Ridge, Digluon-Initiated Subprocesses, Direct Reactions, Non-Universal Antishadowing, and Forward Higgs Production journal, January 2015

All possible generators of supersymmetries of the S-matrix journal, March 1975

Emergent Gravity and the Dark Universe journal, January 2017

QCD dynamics of tetraquark production journal, June 2015

Analysis of nucleon electromagnetic form factors from light-front holographic QCD: The spacelike region journal, January 2017

Scattering amplitudes in the light-front formalism journal, November 2015

Dynamic versus Static Structure Functions and Novel Diffractive Effects in QCD conference, January 2009

New perspectives on the quark condensate journal, August 2010

Basis light-front quantization approach to positronium journal, May 2015

Light-Front Holography and Gauge/Gravity Duality: The Light Meson and Baryon Spectra journal, February 2010

Applications of Basis Light-Front Quantization to QED journal, June 2014

Unified framework for generalized and transverse-momentum dependent parton distributions within a 3Q light-cone picture of the nucleon journal, May 2011

Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive deep Inelastic Scattering journal, March 2003

Review of Particle Physics text, January 2008

Review of Particle Physics text, January 2018

Review of Particle Physics text, January 2012

Light-Front Holography: A First Approximation to QCD text, January 2008

Dynamic versus Static Structure Functions and Novel Diffractive Effects in QCD text, January 2008

Dynamic versus Static Hadronic Structure Functions text, January 2009

Condensates in Quantum Chromodynamics and the Cosmological Constant text, January 2009

Light-Front Holography and Gauge/Gravity Duality: The Light Meson and Baryon Spectra text, January 2009

Higher-Twist Dynamics in Large Transverse Momentum Hadron Production text, January 2009

Three-loop static potential text, January 2009

Phases of Augmented Hadronic Light-Front Wave Functions text, January 2010

AdS/QCD and Light Front Holography: A New Approximation to QCD text, January 2010

Nonperturbative QCD Coupling and its $β$ function from Light-Front Holography text, January 2010

Threefold complementary approach to holographic QCD
journal, February 2014

Process-independent strong running coupling
journal, September 2017

Commensurate scale relations in quantum chromodynamics
journal, April 1995

Renormalization group improved perturbative QCD
journal, September 1980

Connecting the hadron mass scale to the fundamental mass scale of quantum chromodynamics
journal, November 2015

Generalized parton distributions and transverse densities in a light-front quark–diquark model for the nucleons
journal, June 2015

Production and discovery of true muonium in fixed-target experiments
journal, November 2012

Conformal invariance in quantum mechanics
journal, August 1976

Three-Loop Static Potential
journal, March 2010

Review of Particle Physics
journal, August 2014

Single-spin asymmetries in semi-inclusive deep inelastic scattering and Drell-Yan processes
journal, July 2013

Structure functions are not parton probabilities
journal, June 2002

Meson transition form factors in light-front holographic QCD
journal, October 2011

Hadron spectroscopy and dynamics from light-front holography and conformal symmetry
journal, January 2014

Chiral magnetism (or magnetohadrochironics)
journal, January 1974

Possible multiparticle ridge-like correlations in very high multiplicity proton–proton collisions
journal, October 2013

Phases of augmented hadronic light-front wave functions
journal, April 2010

Angular momentum conservation law in light-front quantum field theory
journal, March 2017

Partonic Picture of Gtmds
journal, January 2014

Superconformal quantum mechanics
journal, January 1984

The Light-Front Schrödinger Equation and the Determination of the Perturbative QCD Scale from Color Confinement: A First Approximation to QCD
journal, March 2015

Light-front holographic QCD and emerging confinement
journal, July 2015

Large transverse momentum processes
journal, January 1976

Baryon properties from light-front holographic QCD
journal, November 2015

Invisibility of the Lorentz Contraction
journal, November 1959

Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering
journal, March 2002

Dynamic versus Static Hadronic Structure Functions
journal, August 2009

Production of the Smallest QED Atom: True Muonium ( $μ^{+} μ^{-}$ )
journal, May 2009

Light-cone wavefunction representation of deeply virtual Compton scattering
journal, February 2001

Large-Angle Scattering and the Interchange Force
journal, July 1973

Anomalous magnetic moment and limits on fermion substructure
journal, November 1980

AdS/QCD Holographic Wave Function for the $ρ$ Meson and Diffractive $ρ$ Meson Electroproduction
journal, August 2012

Quantum chromodynamics and other field theories on the light cone
journal, August 1998

Measurement of light-cone wave functions by diffractive dissociation
journal, December 2000

Supersymmetry across the light and heavy-light hadronic spectrum
journal, October 2015

Light-front holography and superconformal quantum mechanics: A new approach to hadron structure and color confinement
journal, January 2015

Production of hadrons at large transverse momentum at 200, 300, and 400 GeV
journal, June 1975

Nuclear antishadowing in neutrino deep inelastic scattering
journal, December 2004

Dark Energy and the Cosmological Constant Paradox
journal, June 2008

Nonperturbative QCD coupling and its $β$ function from light-front holography
journal, May 2010

AdS/QCD and light front holography: A new approximation to QCD
journal, September 2010

Experimental determination of the effective strong coupling constant
journal, July 2007

The baryon anomaly: Evidence for color transparency and direct hadron production at RHIC
journal, October 2008

Forms of Relativistic Dynamics
journal, July 1949

Condensates in quantum chromodynamics and the cosmological constant
journal, December 2010

Shadowing and antishadowing of nuclear structure functions
journal, March 1990

Higher-Twist Dynamics in Large Transverse Momentum Hadron Production
journal, August 2010

Measurement of light-cone wave functions by diffractive dissociation
journal, April 2002

The apparent shape of a relativistically moving sphere
journal, January 1959

Quantum Electrodynamics and Renormalization Theory in the Infinite-Momentum Frame
journal, December 1973

Light-front formulation of the standard model
journal, August 2002

Novel QCD Phenomena at the LHC: The Ridge, Digluon-Initiated Subprocesses, Direct Reactions, Non-Universal Antishadowing, and Forward Higgs Production
journal, January 2015

All possible generators of supersymmetries of the S-matrix
journal, March 1975

Emergent Gravity and the Dark Universe
journal, January 2017

QCD dynamics of tetraquark production
journal, June 2015

Analysis of nucleon electromagnetic form factors from light-front holographic QCD: The spacelike region
journal, January 2017

Scattering amplitudes in the light-front formalism
journal, November 2015

Dynamic versus Static Structure Functions and Novel Diffractive Effects in QCD
conference, January 2009

New perspectives on the quark condensate
journal, August 2010

Basis light-front quantization approach to positronium
journal, May 2015

Light-Front Holography and Gauge/Gravity Duality: The Light Meson and Baryon Spectra
journal, February 2010

Applications of Basis Light-Front Quantization to QED
journal, June 2014

Unified framework for generalized and transverse-momentum dependent parton distributions within a 3Q light-cone picture of the nucleon
journal, May 2011

Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive deep Inelastic Scattering
journal, March 2003

Review of Particle Physics
text, January 2008

Review of Particle Physics
text, January 2018

Review of Particle Physics
text, January 2012

Light-Front Holography: A First Approximation to QCD
text, January 2008

Dynamic versus Static Structure Functions and Novel Diffractive Effects in QCD
text, January 2008

Dynamic versus Static Hadronic Structure Functions
text, January 2009

Condensates in Quantum Chromodynamics and the Cosmological Constant
text, January 2009

Light-Front Holography and Gauge/Gravity Duality: The Light Meson and Baryon Spectra
text, January 2009

Higher-Twist Dynamics in Large Transverse Momentum Hadron Production
text, January 2009

Three-loop static potential
text, January 2009

Phases of Augmented Hadronic Light-Front Wave Functions
text, January 2010

AdS/QCD and Light Front Holography: A New Approximation to QCD
text, January 2010

Nonperturbative QCD Coupling and its $β$ function from Light-Front Holography
text, January 2010

Meson Transition Form Factors in Light-Front Holographic QCD
text, January 2011

The Production and Discovery of True Muonium in Fixed-Target Experiments
text, January 2012

Single-Spin Asymmetries in Semi-inclusive Deep Inelastic Scattering and Drell-Yan Processes
text, January 2013