Affordable Access

Publisher Website

Spontaneous chiral symmetry-breaking and partial differential equations

Authors
Journal
Nuclear Physics B
0550-3213
Publisher
Elsevier
Publication Date
Volume
68
Issue
2
Identifiers
DOI: 10.1016/0550-3213(74)90325-3
Disciplines
  • Mathematics

Abstract

Abstract Using a modified normal-product quantization as suggested by Lowenstein and Zimmermann which incorporates B. Lee's resummation problem from the very beginning into the BPHZ renormalization, we discuss the derivation of partial differential equations of the Callan-Symanzik type. In addition to the renormalization group and the Callan-Symanzik equation which are the appropriate differential-equations for the high energy limit (the overall zero-mass preasymptotic theory), we find a third partial differential equation which allows discussion of the spontaneous broken symmetry limit m π →0 to all orders of the new perturbation theory. In this treatment there is no necessity for loop summation; all the interesting questions are delegated to ordinary perturbation problems.

There are no comments yet on this publication. Be the first to share your thoughts.