Renormalization Theory and the Tree Expansion

  • Lon Rosen
Part of the NATO ASI Series book series (NSSB, volume 234)


Perturbative renormalization theory may not be a topic of CQFT, but it does have a long and rich history and is the basis of every textbook account of QFT. Still, few students really understand it. This is hardly surprising since no text really explains it. I believe that it is possible to give a simple and complete account of perturbative renormalization, and it is fitting that I try to do so in a school on CQFT; for the approach I shall advocate shares a number of ideas with current work in CQFT, and an understanding of the cancellation of ∞’s in perturbation theory is important for an understanding of what happens in the “small field region” of CQFT.


Ward Identity Versus Versus Versus Versus Versus Label Graph Counter Term Fermi Field 
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.
    G. Gallavotti, Rev. Mod. Phys. 57, 471–562 (1985).MathSciNetADSCrossRefGoogle Scholar
  2. 2.
    G. Gallavotti and F. Nicolò, Commun. Math. Phys. 100, 545–590 (1985) and 101, 247–282 (1986).ADSCrossRefGoogle Scholar
  3. 3.
    J. Feldman, T. Hurd, L. Rosen and J. Wright, QED: A Proof of Renormalizability, Springer Lecture Notes in Physics 312, Springer-Verlag, Heidelberg, 1988.Google Scholar
  4. 4.
    K. Hepp, Commun. Math. Phys. 2, 301–326(1966).ADSCrossRefGoogle Scholar
  5. 5.
    W. Zimmermann, Commun. Math. Phys. 15, 208–234 (1969).ADSMATHCrossRefGoogle Scholar
  6. 6.
    C. de Calan and V. Rivasseau, Commun. Math. Phys. 82, 69–100 (1981).ADSCrossRefGoogle Scholar
  7. 7.
    L. Rosen and J. Wright, Dimensional Regularization and Renormalization of QED, preprint.Google Scholar

Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • Lon Rosen
    • 1
  1. 1.Mathematics DepartmentUniversity of British ColumbiaVancouverCanada

Personalised recommendations