scholarly journals Nonperturbative QCD: A weak-coupling treatment on the light front

1994 ◽  
Vol 49 (12) ◽  
pp. 6720-6766 ◽  
Author(s):  
Kenneth G. Wilson ◽  
Timothy S. Walhout ◽  
Avaroth Harindranath ◽  
Wei-Min Zhang ◽  
Robert J. Perry ◽  
...  
Keyword(s):  
Weak Coupling ◽  
Light Front ◽  
Nonperturbative Qcd ◽  
Coupling Treatment

scholarly journals Nonperturbative QCD coupling and itsβfunction from light-front holography

2010 ◽  
Vol 81 (9) ◽  
Author(s):  
Stanley J. Brodsky ◽  
Guy F. de Téramond ◽  
Alexandre Deur
Keyword(s):  
Light Front ◽  
Nonperturbative Qcd

scholarly journals Supersymmetric and Conformal Features of Hadron Physics

Universe ◽  
2018 ◽  
Vol 4 (11) ◽  
pp. 120
Author(s):  
Stanley Brodsky
Keyword(s):  
Equations Of Motion ◽  
Conformal Symmetry ◽  
Form Factors ◽  
Mass Scale ◽  
Equal Mass ◽  
Superconformal Algebra ◽  
Light Front ◽  
Bjorken Sum Rule ◽  
Nonperturbative Qcd ◽  
Hadron Masses

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 pion q q ¯ eigenstate has zero mass for m q = 0 . A key tool is the remarkable observation of de Alfaro, Fubini, and Furlan (dAFF) 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. One also predicts the form of the nonperturbative QCD running coupling: α s ( Q 2 ) ∝ e - Q 2 / 4 κ 2 , in agreement with the effective charge determined from measurements of the Bjorken sum rule. One also obtains viable predictions for spacelike and timelike hadronic form factors, structure functions, distribution amplitudes, and transverse momentum distributions. The combination of conformal symmetry, light-front dynamics, its holographic mapping to AdS 5 space, and the dAFF procedure thus provide new insights, not only into the physics underlying color confinement, but also the nonperturbative QCD coupling and the QCD mass scale.

scholarly journals Supersymmetric and Conformal Features of Hadron Physics

2018 ◽  
Author(s):  
Stanley Brodsky
Keyword(s):  
Equations Of Motion ◽  
Conformal Symmetry ◽  
Form Factors ◽  
Mass Scale ◽  
Equal Mass ◽  
Superconformal Algebra ◽  
Light Front ◽  
Bjorken Sum Rule ◽  
Nonperturbative Qcd ◽  
Hadron Masses

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 pion $q \bar q$ eigenstate has zero mass for $m_q=0.$ % % A key tool is the remarkable observation of de Alfaro, Fubini, and Furlan (dAFF) 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 $\kappa$ appears which determines universal Regge slopes, hadron masses in the absence of the Higgs coupling. One also predicts the form of the nonperturbative QCD running coupling: $\alpha_s(Q^2) \propto e^{-{Q^2/4 \kappa^2}}$, in agreement with the effective charge determined from measurements of the Bjorken sum rule. One also obtains viable predictions for spacelike and timelike hadronic form factors, structure functions, distribution amplitudes, and transverse momentum distributions. % The combination of conformal symmetry, light-front dynamics, its holographic mapping to AdS$_5$ space, and the dAFF procedure thus provide new insights, not only into the physics underlying color confinement, but also the nonperturbative QCD coupling and the QCD mass scale.

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