New Insights into Color Confinement, Hadron Dynamics, Spectroscopy, and Jet Hadronization from Light-Front Holography and Superconformal Algebra
Abstract
A fundamental problem in hadron physics is to obtain a relativistic color-confining, first approximation to QCD which can predict both hadron spectroscopy and the frame-independent light-front (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 light-front 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 light-front holography – the duality between light-front 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 light-front 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 light-front 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.
- 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:
- AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Russian Physics Journal
- Additional Journal Information:
- Journal Volume: 60; Journal Issue: 3; Journal ID: ISSN 1064-8887
- 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 Light-Front Holography and Superconformal Algebra. United States: N. p., 2017.
Web. doi:10.1007/s11182-017-1089-4.
Brodsky, S. J. New Insights into Color Confinement, Hadron Dynamics, Spectroscopy, and Jet Hadronization from Light-Front Holography and Superconformal Algebra. United States. https://doi.org/10.1007/s11182-017-1089-4
Brodsky, S. J. Tue .
"New Insights into Color Confinement, Hadron Dynamics, Spectroscopy, and Jet Hadronization from Light-Front Holography and Superconformal Algebra". United States. https://doi.org/10.1007/s11182-017-1089-4. https://www.osti.gov/servlets/purl/1389548.
@article{osti_1389548,
title = {New Insights into Color Confinement, Hadron Dynamics, Spectroscopy, and Jet Hadronization from Light-Front Holography and Superconformal Algebra},
author = {Brodsky, S. J.},
abstractNote = {A fundamental problem in hadron physics is to obtain a relativistic color-confining, first approximation to QCD which can predict both hadron spectroscopy and the frame-independent light-front (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 light-front 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 light-front holography – the duality between light-front 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 light-front 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 light-front 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/s11182-017-1089-4},
journal = {Russian Physics Journal},
number = 3,
volume = 60,
place = {United States},
year = {Tue Jul 11 00:00:00 EDT 2017},
month = {Tue Jul 11 00:00:00 EDT 2017}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 2 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
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 heavy-light 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 light-front 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 fixed-target 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
Three-Loop Static Potential
journal, March 2010
- Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias
- Physical Review Letters, Vol. 104, Issue 11
Single-spin asymmetries in semi-inclusive deep inelastic scattering and Drell-Yan 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 light-front holographic QCD
journal, October 2011
- Brodsky, Stanley J.; Cao, Fu-Guang; 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 light-front wave functions
journal, April 2010
- Brodsky, Stanley J.; Pasquini, Barbara; Xiao, Bo-Wen
- Physics Letters B, Vol. 687, Issue 4-5
Superconformal quantum mechanics
journal, January 1984
- Fubini, S.; Rabinovici, E.
- Nuclear Physics B, Vol. 245
The Light-Front 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
- Few-Body Systems, Vol. 56, Issue 6-9
Nuclear physics in soft-wall AdS/QCD: Deuteron electromagnetic form factors
journal, June 2015
- Gutsche, Thomas; Lyubovitskij, Valery E.; Schmidt, Ivan
- Physical Review D, Vol. 91, Issue 11
Light-front holographic QCD and emerging confinement
journal, July 2015
- Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter
- Physics Reports, Vol. 584
Baryon properties from light-front holographic QCD
journal, November 2015
- Liu, Tianbo; Ma, Bo-Qiang
- 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
Light-cone representation of the spin and orbital angular momentum of relativistic composite systems
journal, January 2001
- Brodsky, Stanley J.; Hwang, Dae Sung; Ma, Bo-Qiang
- Nuclear Physics B, Vol. 593, Issue 1-2
Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering
journal, March 2002
- Brodsky, Stanley J.; Hwang, Dae Sung; Schmidt, Ivan
- Physics Letters B, Vol. 530, Issue 1-4
Dynamic versus Static Hadronic Structure Functions
journal, August 2009
- Brodsky, Stanley J.
- Nuclear Physics A, Vol. 827, Issue 1-4
Production of the Smallest QED Atom: True Muonium ( )
journal, May 2009
- Brodsky, Stanley J.; Lebed, Richard F.
- Physical Review Letters, Vol. 102, Issue 21
Light-cone wavefunction representation of deeply virtual Compton scattering
journal, February 2001
- Brodsky, Stanley J.; Diehl, Markus; Hwang, Dae Sung
- Nuclear Physics B, Vol. 596, Issue 1-2
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 Meson and Diffractive 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
Quantum chromodynamics and other field theories on the light cone
journal, August 1998
- Brodsky, S.
- Physics Reports, Vol. 301, Issue 4-6
Supersymmetry across the light and heavy-light 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, Hans-Christian; Brodsky, Stanley J.
- Physical Review D, Vol. 32, Issue 8
Nuclear antishadowing in neutrino deep inelastic scattering
journal, December 2004
- Brodsky, Stanley J.; Schmidt, Ivan; Yang, Jian-Jun
- 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 function from light-front holography
journal, May 2010
- Brodsky, Stanley J.; de Téramond, Guy F.; Deur, Alexandre
- Physical Review D, Vol. 81, Issue 9
Light-cone-quantized QCD in 1+1 dimensions
journal, June 1990
- Hornbostel, Kent; Brodsky, Stanley J.; Pauli, Hans-Christian
- 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 Infinite-Momentum Frame
journal, December 1973
- Brodsky, Stanley J.; Roskies, Ralph; Suaya, Roberto
- Physical Review D, Vol. 8, Issue 12
Light-front 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 S-matrix
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 light-front formalism
journal, November 2015
- Cruz-Santiago, 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 Light-Front Quantization to QED
journal, June 2014
- Vary, James P.; Zhao, Xingbo; Ilderton, Anton
- Nuclear Physics B - Proceedings Supplements, Vol. 251-252
Unified framework for generalized and transverse-momentum dependent parton distributions within a 3Q light-cone picture of the nucleon
journal, May 2011
- Lorcé, C.; Pasquini, B.; Vanderhaeghen, M.
- Journal of High Energy Physics, Vol. 2011, Issue 5
Measurement of light-cone wave functions by diffractive dissociation
journal, December 2000
- Ashery, Daniel
- Nuclear Physics B - Proceedings Supplements, Vol. 90
Renormalization group improved perturbative QCD
journal, September 1980
- Grunberg, G.
- Physics Letters B, Vol. 95, Issue 1
Works referencing / citing this record:
Color Confinement, Hadron Dynamics, and Hadron Spectroscopy from Light-Front Holography and Superconformal Algebra
journal, January 2018
- Brodsky, Stanley J.
- Advances in High Energy Physics, Vol. 2018
Color Confinement, Hadron Dynamics, and Hadron Spectroscopy from Light-Front Holography and Superconformal Algebra
preprint, January 2017
- Brodsky, Stanley J.
- arXiv