Infrared Behavior of QCD

  • J. S. Ball
Part of the Progress in Physics book series (PMP, volume 8)


In this talk I will describe a series of calculations based on a general non-perturbative continuum approach to the problem of the IR behavior of QCO. This investigation, done in collaboration with F. Zachariasen and M. Baker, Is based on using the Schwinger-Dyson eqs. (hereafter S.D. eq.) for the quark and gluon propagators and using the appropriate Ward identities to obtain closed integral equations for the quantities of interest [1]. In particular, we have been able to show that a 1/q4 singularity in the gluon propagator produces a consistant solution to the integral equation. When this propagator is used in the integral equation for the quark propagator the pole singularity of a free massless quark is weakened to a simple square root branch point; furthermore we find that a mass-like tern (breaking chiral symmetry) which is an entire function, is consistent with the equations, though not required [2]. Finally, we construct an effective classical Lagrangian which is consistent with our form for the gluon propagator and automatically Includes the long range quantum fluctuations of QCD [3].


Entire Function Chiral Symmetry Ward Identity Vertex Function Gluon Propagator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    M. Baker, J.S. Ball and F. Zachariasen, Nucl. Phys. B 186 (1981)531. M. Baker. J.S. Ball and F. Zachariasen, Nucl. Phys. B186 (1981) 560.CrossRefGoogle Scholar
  2. [2]
    J.S. Ball and F. Zachariasen. Phys. Letters 106B (1981) 133.Google Scholar
  3. [3]
    M. Baker and F. Zachariasen, Phys. Letters 108B (1982) 206.Google Scholar
  4. [4]
    See for example J.M. Cornwall, Phys. Rev. D22 (1980) 1452 and J.M. Cornwall, U.C.L.A. Preprint 81/TEP/8 (Feb. 1981).Google Scholar

Copyright information

© Birkhäuser Boston, Inc. 1983

Authors and Affiliations

  • J. S. Ball
    • 1
  1. 1.Dept. of PhysicsUniversity of UtahSalt Lake CityUSA

Personalised recommendations