Supersymmetric Properties of Hadron Physics from LightFront Holography and Superconformal Algebra and other Advances in LightFront QCD
Abstract
Here, lightfront 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 frameindependent lightfront Hamiltonian, it leads uniquely to a confining qq¯ potential κ ^{4}ζ ^{2}, where ζ ^{2} is the lightfront radial variable related in momentum space to the qq¯ invariant mass. The same result, including spin terms, is obtained using lightfront holography—the duality between the front form and AdS _{5}, the space of isometries of the conformal group—if one modifies the action of AdS _{5} by the dilaton e ^{κ2} ^{z2} in the fifth dimension z. When one generalizes this procedure using superconformal algebra, the resulting lightfront 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 lightfront wavefunctions and observables such as structuremore »
 Authors:

 Stanford Univ., Stanford, CA (United States). SLAC National Accelerator Lab.
 Publication Date:
 Research Org.:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1434677
 Report Number(s):
 SLACPUB17202
Journal ID: ISSN 01777963; PII: 1342; TRN: US1802561
 Grant/Contract Number:
 AC0276SF00515
 Resource Type:
 Accepted Manuscript
 Journal Name:
 FewBody Systems
 Additional Journal Information:
 Journal Volume: 59; Journal Issue: 3; Journal ID: ISSN 01777963
 Publisher:
 Springer
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LightFront Holography; QCD; Superconformal Algebra
Citation Formats
Brodsky, Stanley J. Supersymmetric Properties of Hadron Physics from LightFront Holography and Superconformal Algebra and other Advances in LightFront QCD. United States: N. p., 2018.
Web. doi:10.1007/s0060101813426.
Brodsky, Stanley J. Supersymmetric Properties of Hadron Physics from LightFront Holography and Superconformal Algebra and other Advances in LightFront QCD. United States. doi:10.1007/s0060101813426.
Brodsky, Stanley J. Tue .
"Supersymmetric Properties of Hadron Physics from LightFront Holography and Superconformal Algebra and other Advances in LightFront QCD". United States. doi:10.1007/s0060101813426. https://www.osti.gov/servlets/purl/1434677.
@article{osti_1434677,
title = {Supersymmetric Properties of Hadron Physics from LightFront Holography and Superconformal Algebra and other Advances in LightFront QCD},
author = {Brodsky, Stanley J.},
abstractNote = {Here, lightfront 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 frameindependent lightfront Hamiltonian, it leads uniquely to a confining qq¯ potential κ4ζ2, where ζ2 is the lightfront radial variable related in momentum space to the qq¯ invariant mass. The same result, including spin terms, is obtained using lightfront 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 lightfront 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 lightfront 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 lightfront phenomenology.},
doi = {10.1007/s0060101813426},
journal = {FewBody Systems},
number = 3,
volume = 59,
place = {United States},
year = {2018},
month = {3}
}
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