Hadron Spectroscopy and Dynamics from Light-Front Holography and Superconformal Algebra
QCD is not supersymmetrical in the traditional sense – the QCD Lagrangian is based on quark and gluonic fields, not squarks nor gluinos. However, its hadronic eigensolutions conform to a representation of superconformal algebra, reflecting the underlying conformal symmetry of chiral QCD and its Pauli matrix representation. 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 pion $$q\bar{q}$$ eigenstate has zero mass for m _{q} = 0. The superconformal relations also can be extended to heavy-light quark mesons and baryons. The combined approach of light-front holography and superconformal algebra also provides insight into the origin of the QCD mass scale and color confinement. A key observation is the remarkable dAFF principle which shows how a mass scale can appear in the Hamiltonian and the equations of motion while retaining the conformal symmetry of the action. When one applies the dAFF procedure to chiral QCD, a mass scale κ appears which determines universal Regge slopes, hadron masses in the absence of the Higgs coupling, and the mass parameter underlying the Gaussian functional form of the nonperturbative QCD running coupling: α _{s}(Q ^{2}) ∝ exp-Q ^{2}/4κ ^{2}, in agreement with the effective charge determined from measurements of the Bjorken sum rule. The mass scale κ underlying hadron masses can be connected to the parameter Λ _{$$\overline{MS}$$} in the QCD running coupling by matching its predicted nonperturbative form to the perturbative QCD regime. The result is an effective coupling α _{s}(Q ^{2}) defined at all momenta. In conclusion, one also obtains empirically viable predictions for spacelike and timelike hadronic form factors, structure functions, distribution amplitudes, and transverse momentum distributions.
- Publication Date:
- Report Number(s):
- SLAC-PUB-17201
Journal ID: ISSN 0177-7963
- Grant/Contract Number:
- AC02-76SF00515
- Type:
- Accepted Manuscript
- Journal Name:
- Few-Body Systems
- Additional Journal Information:
- Journal Volume: 59; Journal Issue: 5; Conference: NSTAR 2017, The 11th International Workshop on the Physics of Excited Nucleons, Univ. of South Carolina, Columbia, SC (United States), 20-23 Aug 2017; Journal ID: ISSN 0177-7963
- Publisher:
- Springer
- Research Org:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org:
- USDOE Office of Science (SC)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
- OSTI Identifier:
- 1443973
Brodsky, Stanley J. Hadron Spectroscopy and Dynamics from Light-Front Holography and Superconformal Algebra. United States: N. p.,
Web. doi:10.1007/s00601-018-1409-4.
Brodsky, Stanley J. Hadron Spectroscopy and Dynamics from Light-Front Holography and Superconformal Algebra. United States. doi:10.1007/s00601-018-1409-4.
Brodsky, Stanley J. 2018.
"Hadron Spectroscopy and Dynamics from Light-Front Holography and Superconformal Algebra". United States.
doi:10.1007/s00601-018-1409-4.
@article{osti_1443973,
title = {Hadron Spectroscopy and Dynamics from Light-Front Holography and Superconformal Algebra},
author = {Brodsky, Stanley J.},
abstractNote = {QCD is not supersymmetrical in the traditional sense – the QCD Lagrangian is based on quark and gluonic fields, not squarks nor gluinos. However, its hadronic eigensolutions conform to a representation of superconformal algebra, reflecting the underlying conformal symmetry of chiral QCD and its Pauli matrix representation. 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 pion $q\bar{q}$ eigenstate has zero mass for mq = 0. The superconformal relations also can be extended to heavy-light quark mesons and baryons. The combined approach of light-front holography and superconformal algebra also provides insight into the origin of the QCD mass scale and color confinement. A key observation is the remarkable dAFF principle which shows how a mass scale can appear in the Hamiltonian and the equations of motion while retaining the conformal symmetry of the action. When one applies the dAFF procedure to chiral QCD, a mass scale κ appears which determines universal Regge slopes, hadron masses in the absence of the Higgs coupling, and the mass parameter underlying the Gaussian functional form of the nonperturbative QCD running coupling: αs(Q2) ∝ exp-Q2/4κ2, in agreement with the effective charge determined from measurements of the Bjorken sum rule. The mass scale κ underlying hadron masses can be connected to the parameter Λ$\overline{MS}$ in the QCD running coupling by matching its predicted nonperturbative form to the perturbative QCD regime. The result is an effective coupling αs(Q2) defined at all momenta. In conclusion, one also obtains empirically viable predictions for spacelike and timelike hadronic form factors, structure functions, distribution amplitudes, and transverse momentum distributions.},
doi = {10.1007/s00601-018-1409-4},
journal = {Few-Body Systems},
number = 5,
volume = 59,
place = {United States},
year = {2018},
month = {5}
}