New Insights into Color Confinement, Hadron Dynamics, Spectroscopy, and Jet Hadronization from LightFront Holography and Superconformal Algebra
Abstract
A fundamental problem in hadron physics is to obtain a relativistic colorconfining, first approximation to QCD which can predict both hadron spectroscopy and the frameindependent lightfront (LF) wavefunctions underlying hadron dynamics. The QCD Lagrangian with zero quark mass has no explicit mass scale; the classical theory is conformally invariant. Thus, a fundamental problem is to understand how the mass gap and ratios of masses – such as mρ/mp – can arise in chiral QCD. De Alfaro, Fubini, and Furlan have made an important observation that 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 and rescales the time variable. If one applies the same procedure to the lightfront Hamiltonian, it leads uniquely to a confinement potential κ ^{4}ζ ^{2} for mesons, where ζ ^{2} is the LF radial variable conjugate to the $$q\bar{q}$$ invariant mass squared. The same result, including spin terms, is obtained using lightfront holography – the duality between lightfront dynamics and AdS _{5}, the space of isometries of the conformal group if one modifies the action of AdS _{5} by the dilaton e ^{$κ^2$} ^{z$^2$} in the fifth dimension z . When one generalizes this procedure using superconformal algebra, the resulting lightfront eigensolutions predict unified Regge spectroscopy of meson, baryon, and tetraquarks, including remarkable supersymmetric relations between the masses of mesons and baryons of the same parity. One also predicts observables such as hadron structure functions, transverse momentum distributions, and the distribution amplitudes defined from the hadronic lightfront wavefunctions. The mass scale κ underlying confinement and hadron masses can be connected to the parameter Λ _{$$\overline{MS}$$} in the QCD running coupling by matching the nonperturbative dynamics to the perturbative QCD regime. The result is an effective coupling α _{s}(Q ^{2}) defined at all momenta. Lastly, the matching of the high and low momentum transfer regimes also determines a scale Q _{0} which sets the interface between perturbative and nonperturbative hadron dynamics.
 Authors:

 SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)
 Publication Date:
 Research Org.:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1389548
 Grant/Contract Number:
 AC0276SF00515
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Russian Physics Journal
 Additional Journal Information:
 Journal Volume: 60; Journal Issue: 3; Journal ID: ISSN 10648887
 Publisher:
 Springer
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; hadron structure and dynamics; color confinement; wave functions; spectroscopy; formfactors; structure functions
Citation Formats
Brodsky, S. J. New Insights into Color Confinement, Hadron Dynamics, Spectroscopy, and Jet Hadronization from LightFront Holography and Superconformal Algebra. United States: N. p., 2017.
Web. doi:10.1007/s1118201710894.
Brodsky, S. J. New Insights into Color Confinement, Hadron Dynamics, Spectroscopy, and Jet Hadronization from LightFront Holography and Superconformal Algebra. United States. doi:10.1007/s1118201710894.
Brodsky, S. J. Tue .
"New Insights into Color Confinement, Hadron Dynamics, Spectroscopy, and Jet Hadronization from LightFront Holography and Superconformal Algebra". United States. doi:10.1007/s1118201710894. https://www.osti.gov/servlets/purl/1389548.
@article{osti_1389548,
title = {New Insights into Color Confinement, Hadron Dynamics, Spectroscopy, and Jet Hadronization from LightFront Holography and Superconformal Algebra},
author = {Brodsky, S. J.},
abstractNote = {A fundamental problem in hadron physics is to obtain a relativistic colorconfining, first approximation to QCD which can predict both hadron spectroscopy and the frameindependent lightfront (LF) wavefunctions underlying hadron dynamics. The QCD Lagrangian with zero quark mass has no explicit mass scale; the classical theory is conformally invariant. Thus, a fundamental problem is to understand how the mass gap and ratios of masses – such as mρ/mp – can arise in chiral QCD. De Alfaro, Fubini, and Furlan have made an important observation that 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 and rescales the time variable. If one applies the same procedure to the lightfront Hamiltonian, it leads uniquely to a confinement potential κ4ζ2 for mesons, where ζ2 is the LF radial variable conjugate to the $q\bar{q}$ invariant mass squared. The same result, including spin terms, is obtained using lightfront holography – the duality between lightfront dynamics and AdS5, the space of isometries of the conformal group if one modifies the action of AdS5 by the dilaton e$κ^2$z$^2$ in the fifth dimension z . When one generalizes this procedure using superconformal algebra, the resulting lightfront eigensolutions predict unified Regge spectroscopy of meson, baryon, and tetraquarks, including remarkable supersymmetric relations between the masses of mesons and baryons of the same parity. One also predicts observables such as hadron structure functions, transverse momentum distributions, and the distribution amplitudes defined from the hadronic lightfront wavefunctions. The mass scale κ underlying confinement and hadron masses can be connected to the parameter Λ$\overline{MS}$ 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. Lastly, the matching of the high and low momentum transfer regimes also determines a scale Q0 which sets the interface between perturbative and nonperturbative hadron dynamics.},
doi = {10.1007/s1118201710894},
journal = {Russian Physics Journal},
issn = {10648887},
number = 3,
volume = 60,
place = {United States},
year = {2017},
month = {7}
}
Web of Science
Works referenced in this record:
Threefold complementary approach to holographic QCD
journal, February 2014
 Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter
 Physics Letters B, Vol. 729
Commensurate scale relations in quantum chromodynamics
journal, April 1995
 Brodsky, Stanley J.; Lu, Hung Jung
 Physical Review D, Vol. 51, Issue 7
Supersymmetry across the light and heavylight hadronic spectrum. II.
journal, February 2017
 Dosch, Hans Günter; de Téramond, Guy F.; Brodsky, Stanley J.
 Physical Review D, Vol. 95, Issue 3
Connecting the hadron mass scale to the fundamental mass scale of quantum chromodynamics
journal, November 2015
 Deur, A.; Brodsky, S. J.; de Teramond, G. F.
 Physics Letters B, Vol. 750
Generalized parton distributions and transverse densities in a lightfront quark–diquark model for the nucleons
journal, June 2015
 Mondal, Chandan; Chakrabarti, Dipankar
 The European Physical Journal C, Vol. 75, Issue 6
Production and discovery of true muonium in fixedtarget experiments
journal, November 2012
 Banburski, Andrzej; Schuster, Philip
 Physical Review D, Vol. 86, Issue 9
Conformal invariance in quantum mechanics
journal, August 1976
 de Alfaro, V.; Fubini, S.; Furlan, G.
 Il Nuovo Cimento A, Vol. 34, Issue 4
ThreeLoop Static Potential
journal, March 2010
 Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias
 Physical Review Letters, Vol. 104, Issue 11
Singlespin asymmetries in semiinclusive deep inelastic scattering and DrellYan processes
journal, July 2013
 Brodsky, Stanley J.; Hwang, Dae Sung; Kovchegov, Yuri V.
 Physical Review D, Vol. 88, Issue 1
Asymptotic behavior of the pion form factor in quantum chromodynamics
journal, February 1980
 Efremov, A. V.; Radyushkin, A. V.
 Theoretical and Mathematical Physics, Vol. 42, Issue 2
Structure functions are not parton probabilities
journal, June 2002
 Brodsky, Stanley J.; Hoyer, Paul; Marchal, Nils
 Physical Review D, Vol. 65, Issue 11
Meson transition form factors in lightfront holographic QCD
journal, October 2011
 Brodsky, Stanley J.; Cao, FuGuang; de Téramond, Guy F.
 Physical Review D, Vol. 84, Issue 7
Chiral magnetism (or magnetohadrochironics)
journal, January 1974
 Casher, Aharon; Susskind, Leonard
 Physical Review D, Vol. 9, Issue 2
Phases of augmented hadronic lightfront wave functions
journal, April 2010
 Brodsky, Stanley J.; Pasquini, Barbara; Xiao, BoWen
 Physics Letters B, Vol. 687, Issue 45
Superconformal quantum mechanics
journal, January 1984
 Fubini, S.; Rabinovici, E.
 Nuclear Physics B, Vol. 245
The LightFront Schrödinger Equation and the Determination of the Perturbative QCD Scale from Color Confinement: A First Approximation to QCD
journal, March 2015
 Brodsky, Stanley J.; de Téramond, Guy F.; Deur, Alexandre
 FewBody Systems, Vol. 56, Issue 69
Nuclear parton distribution functions from neutrino deep inelastic scattering
journal, March 2008
 Schienbein, I.; Yu, J. Y.; Keppel, C.
 Physical Review D, Vol. 77, Issue 5
Nuclear physics in softwall AdS/QCD: Deuteron electromagnetic form factors
journal, June 2015
 Gutsche, Thomas; Lyubovitskij, Valery E.; Schmidt, Ivan
 Physical Review D, Vol. 91, Issue 11
Lightfront holographic QCD and emerging confinement
journal, July 2015
 Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter
 Physics Reports, Vol. 584
Deuteron electromagnetic structure functions and polarization properties in softwall AdS/QCD
journal, December 2016
 Gutsche, Thomas; Lyubovitskij, Valery E.; Schmidt, Ivan
 Physical Review D, Vol. 94, Issue 11
Baryon properties from lightfront holographic QCD
journal, November 2015
 Liu, Tianbo; Ma, BoQiang
 Physical Review D, Vol. 92, Issue 9
Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons
journal, November 1979
 Peter Lepage, G.; Brodsky, Stanley J.
 Physics Letters B, Vol. 87, Issue 4
Invisibility of the Lorentz Contraction
journal, November 1959
 Terrell, James
 Physical Review, Vol. 116, Issue 4
Lightcone representation of the spin and orbital angular momentum of relativistic composite systems
journal, January 2001
 Brodsky, Stanley J.; Hwang, Dae Sung; Ma, BoQiang
 Nuclear Physics B, Vol. 593, Issue 12
Comment on “New Limits on Intrinsic Charm in the Nucleon from Global Analysis of Parton Distributions”
journal, January 2016
 Brodsky, Stanley J.; Gardner, Susan
 Physical Review Letters, Vol. 116, Issue 1
Superconformal baryonmeson symmetry and lightfront holographic QCD
journal, April 2015
 Dosch, Hans Günter; de Téramond, Guy F.; Brodsky, Stanley J.
 Physical Review D, Vol. 91, Issue 8
Finalstate interactions and singlespin asymmetries in semiinclusive deep inelastic scattering
journal, March 2002
 Brodsky, Stanley J.; Hwang, Dae Sung; Schmidt, Ivan
 Physics Letters B, Vol. 530, Issue 14
Dynamic versus Static Hadronic Structure Functions
journal, August 2009
 Brodsky, Stanley J.
 Nuclear Physics A, Vol. 827, Issue 14
Production of the Smallest QED Atom: True Muonium ( ${\mu}^{+}{\mu}^{}$ )
journal, May 2009
 Brodsky, Stanley J.; Lebed, Richard F.
 Physical Review Letters, Vol. 102, Issue 21
Lightcone wavefunction representation of deeply virtual Compton scattering
journal, February 2001
 Brodsky, Stanley J.; Diehl, Markus; Hwang, Dae Sung
 Nuclear Physics B, Vol. 596, Issue 12
Anomalous magnetic moment and limits on fermion substructure
journal, November 1980
 Brodsky, Stanley J.; Drell, Sidney D.
 Physical Review D, Vol. 22, Issue 9
AdS/QCD Holographic Wave Function for the $\rho $ Meson and Diffractive $\rho $ Meson Electroproduction
journal, August 2012
 Forshaw, J. R.; Sandapen, R.
 Physical Review Letters, Vol. 109, Issue 8
Exclusive processes in perturbative quantum chromodynamics
journal, November 1980
 Lepage, G. Peter; Brodsky, Stanley J.
 Physical Review D, Vol. 22, Issue 9
Kinematical and dynamical aspects of higherspin boundstate equations in holographic QCD
journal, April 2013
 de Téramond, Guy F.; Dosch, Hans Günter; Brodsky, Stanley J.
 Physical Review D, Vol. 87, Issue 7
Quantum chromodynamics and other field theories on the light cone
journal, August 1998
 Brodsky, S.
 Physics Reports, Vol. 301, Issue 46
Supersymmetry across the light and heavylight hadronic spectrum
journal, October 2015
 Dosch, Hans Günter; de Téramond, Guy F.; Brodsky, Stanley J.
 Physical Review D, Vol. 92, Issue 7
Solving field theory in one space and one time dimension
journal, October 1985
 Pauli, HansChristian; Brodsky, Stanley J.
 Physical Review D, Vol. 32, Issue 8
Baryon spectrum from superconformal quantum mechanics and its lightfront holographic embedding
journal, February 2015
 de Téramond, Guy F.; Dosch, Hans Günter; Brodsky, Stanley J.
 Physical Review D, Vol. 91, Issue 4
Nuclear antishadowing in neutrino deep inelastic scattering
journal, December 2004
 Brodsky, Stanley J.; Schmidt, Ivan; Yang, JianJun
 Physical Review D, Vol. 70, Issue 11
Dark Energy and the Cosmological Constant Paradox
journal, June 2008
 Zee, A.
 Modern Physics Letters A, Vol. 23, Issue 17n20
Nonperturbative QCD coupling and its $\beta $ function from lightfront holography
journal, May 2010
 Brodsky, Stanley J.; de Téramond, Guy F.; Deur, Alexandre
 Physical Review D, Vol. 81, Issue 9
Systematic AllOrders Method to Eliminate RenormalizationScale and Scheme Ambiguities in Perturbative QCD
journal, May 2013
 Mojaza, Matin; Brodsky, Stanley J.; Wu, XingGang
 Physical Review Letters, Vol. 110, Issue 19
LightFront Holography: A First Approximation to QCD
journal, February 2009
 de Téramond, Guy F.; Brodsky, Stanley J.
 Physical Review Letters, Vol. 102, Issue 8
Lightconequantized QCD in 1+1 dimensions
journal, June 1990
 Hornbostel, Kent; Brodsky, Stanley J.; Pauli, HansChristian
 Physical Review D, Vol. 41, Issue 12
Experimental determination of the effective strong coupling constant
journal, July 2007
 Deur, A.; Burkert, V.; Chen, J. P.
 Physics Letters B, Vol. 650, Issue 4
Forms of Relativistic Dynamics
journal, July 1949
 Dirac, P. A. M.
 Reviews of Modern Physics, Vol. 21, Issue 3
Condensates in quantum chromodynamics and the cosmological constant
journal, December 2010
 Brodsky, Stanley J.; Shrock, Robert
 Proceedings of the National Academy of Sciences, Vol. 108, Issue 1
Shadowing and antishadowing of nuclear structure functions
journal, March 1990
 Brodsky, Stanley J.; Lu, Hung Jung
 Physical Review Letters, Vol. 64, Issue 12
Asymptotic freedom in parton language
journal, August 1977
 Altarelli, G.; Parisi, G.
 Nuclear Physics B, Vol. 126, Issue 2
The apparent shape of a relativistically moving sphere
journal, January 1959
 Penrose, R.
 Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 55, Issue 1
Quantum Electrodynamics and Renormalization Theory in the InfiniteMomentum Frame
journal, December 1973
 Brodsky, Stanley J.; Roskies, Ralph; Suaya, Roberto
 Physical Review D, Vol. 8, Issue 12
Lightfront formulation of the standard model
journal, August 2002
 Srivastava, Prem P.; Brodsky, Stanley J.
 Physical Review D, Vol. 66, Issue 4
All possible generators of supersymmetries of the Smatrix
journal, March 1975
 Haag, Rudolf; Łopuszański, Jan T.; Sohnius, Martin
 Nuclear Physics B, Vol. 88, Issue 2
Factorization and asymptotic behaviour of pion form factor in QCD
journal, July 1980
 Efremov, A. V.; Radyushkin, A. V.
 Physics Letters B, Vol. 94, Issue 2
Scattering amplitudes in the lightfront formalism
journal, November 2015
 CruzSantiago, C.; Kotko, P.; Staśto, A. M.
 Progress in Particle and Nuclear Physics, Vol. 85
New perspectives on the quark condensate
journal, August 2010
 Brodsky, Stanley J.; Roberts, Craig D.; Shrock, Robert
 Physical Review C, Vol. 82, Issue 2
Dynamic versus Static Structure Functions and Novel Diffractive Effects in QCD
conference, January 2009
 Brodsky, Stanley J.; Fiore, Roberto; Ivanov, Igor
 DIFFRACTION 2008: International Workshop on Diffraction in High Energy Physics, AIP Conference Proceedings
Applications of Basis LightFront Quantization to QED
journal, June 2014
 Vary, James P.; Zhao, Xingbo; Ilderton, Anton
 Nuclear Physics B  Proceedings Supplements, Vol. 251252
Unified framework for generalized and transversemomentum dependent parton distributions within a 3Q lightcone picture of the nucleon
journal, May 2011
 Lorcé, C.; Pasquini, B.; Vanderhaeghen, M.
 Journal of High Energy Physics, Vol. 2011, Issue 5