Quark confinement in gauge theories of strong interactions

2008 ◽  
pp. 234-268
Author(s):  
Leonard Susskind
Keyword(s):  
Gauge Theories ◽  
Strong Interactions ◽  
Quark Confinement

On the Derivation of Strong and Electro-weak Interactions in Functional Quantum Theory of the Nonlinear Spinor Field as a Lepton-hadron Model with Quark-confinement

1981 ◽  
Vol 36 (3) ◽  
pp. 261-271 ◽  
Author(s):  
H. Stumpf
Keyword(s):  
Spinor Field ◽  
Bound States ◽  
Gauge Theories ◽  
Weak Interactions ◽  
Relativistic Quantum ◽  
Strong Interactions ◽  
Quark Confinement ◽  
Nonlinear Spinor ◽  
Calculation Technique ◽  
Non Local

In preceding papers the nonlinear spinor field with Heisenberg's dipole regularization was interpreted as a lepton-quark system. In this paper it is demonstrated that this model is able to produce electro-weak as well as strong interactions. For the analytical derivation of these interactions, in Section 1 an improved calculation technique for scattering functionals is developed which corresponds to an interaction representation of relativistic quantum fields with inclusion of bound states, and which is suited for a comparison of its results with conventional field theories, in particular gauge theories. In Section 2 the projection technique from the spinor field into the lepton-quark representation is discussed in detail. The principle which allows the derivation of the various interactions consists in the calculation and incorporation of universal (local) bosons and non-universal (non-local) bosons occuring as bound states of the spinor field, resp., leptonquark fields, into the scattering functional equation. This is performed for local bosons in Section 1 and for non-local bosons in Section 3. In Section 4 it is shown that a subsequent unitarization which corresponds to quark confinement leads to selection rules for lepton-baryon processes which qualitatively correspond to those of grand unification gauge theories. Numerical calculations will be given in subsequent papers

scholarly journals The World as Quarks, Leptons and Bosons

1976 ◽  
Vol 29 (6) ◽  
pp. 347 ◽  
Author(s):  
M Gell-Mann
Keyword(s):  
Gauge Theory ◽  
Gauge Theories ◽  
Strong Interactions ◽  
Gauge Bosons ◽  
Yang Mills ◽  
Electromagnetic Interactions ◽  
The World

A descriptive review is given of gauge theories of weak, electromagnetic and strong interactions. The strong interactions are interpreted in terms of an unbroken Yang-Mills gauge theory based on SU(3) colour symmetry of quarks and gluons. The confinement mechanism of quarks, gluons and other nonsinglets is discussed. The unification of the weak and electromagnetic interactions through a broken Yang-Mills gauge theory is described. In total the basic constituents are then the quarks, leptons and gauge bosons.

scholarly journals QCD beyond diagrams

2021 ◽  
Vol 36 (21) ◽  
pp. 2130012
Author(s):  
Michael Creutz
Keyword(s):  
Perturbation Theory ◽  
Symmetry Breaking ◽  
Quantum Chromodynamics ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Strong Interactions ◽  
Quark Confinement ◽  
Mass Generation ◽  
Diagrammatic Perturbation Theory

Quantum chromodynamics (QCD), the theory of the strong interactions, involves quarks interacting with non-Abelian gluon fields. This theory has many features that are difficult to impossible to see in conventional diagrammatic perturbation theory. This includes quark confinement, mass generation and chiral symmetry breaking. This paper is a colloquium level overview of the framework for understanding how these effects come about.

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