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 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 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.

Nonperturbative QCD and supersymmetric QCD

2004 ◽  
Vol 174 (2) ◽  
pp. 113 ◽  
Author(s):  
Viktor A. Novikov
Keyword(s):  
Nonperturbative Qcd

Light front field theory: An advanced Primer

2007 ◽  
Vol 57 (3) ◽  
Author(s):  
L'ubomír Martinovič
Keyword(s):  
Field Theory ◽  
Detailed Comparison ◽  
Light Front ◽  
Two Dimensional ◽  
Schwinger Model ◽  
Initial Space ◽  
Model Hamiltonian ◽  
Spatial Volume ◽  
Hamiltonian Perturbation Theory ◽  
Light Front Quantization

Light front field theory: An advanced PrimerWe present an elementary introduction to quantum field theory formulated in terms of Dirac's light front variables. In addition to general principles and methods, a few more specific topics and approaches based on the author's work will be discussed. Most of the discussion deals with massive two-dimensional models formulated in a finite spatial volume starting with a detailed comparison between quantization of massive free fields in the usual field theory and the light front (LF) quantization. We discuss basic properties such as relativistic invariance and causality. After the LF treatment of the soluble Federbush model, a LF approach to spontaneous symmetry breaking is explained and a simple gauge theory - the massive Schwinger model in various gauges is studied. A LF version of bosonization and the massive Thirring model are also discussed. A special chapter is devoted to the method of discretized light cone quantization and its application to calculations of the properties of quantum solitons. The problem of LF zero modes is illustrated with the example of the two-dimensional Yukawa model. Hamiltonian perturbation theory in the LF formulation is derived and applied to a few simple processes to demonstrate its advantages. As a byproduct, it is shown that the LF theory cannot be obtained as a "light-like" limit of the usual field theory quantized on an initial space-like surface. A simple LF formulation of the Higgs mechanism is then given. Since our intention was to provide a treatment of the light front quantization accessible to postgradual students, an effort was made to discuss most of the topics pedagogically and a number of technical details and derivations are contained in the appendices.

QCD near the light front

1996 ◽  
Author(s):  
Thomas John Fields
Keyword(s):  
Light Front

Basis Light-Front Quantization: Recent Progress and Future Prospects

2016 ◽  
Vol 57 (8) ◽  
pp. 695-702 ◽  
Author(s):  
James P. Vary ◽  
Lekha Adhikari ◽  
Guangyao Chen ◽  
Yang Li ◽  
Pieter Maris ◽  
...  
Keyword(s):  
Recent Progress ◽  
Light Front ◽  
Future Prospects ◽  
Light Front Quantization
Sign in / Sign up

Export Citation Format

Share Document