Chiral Anomalies and the Chiral Lagrangian

Citation

Sonoda, Hidenori (1985) Chiral Anomalies and the Chiral Lagrangian. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/xg77-hd79. https://resolver.caltech.edu/CaltechTHESIS:01312019-173857612

Abstract

The subject of this thesis is some implications of chiral anomalies for chiral Lagrangians. The thesis consists of three parts:

In the first part, a somewhat heuristic discussion of the topological meaning of anomalies is given in the framework recently introduced by Alvarez. Its application to the sigma model anomalies is also given.

In the second part, the incorporation of chiral anomalies into the chiral Lagrangian is discussed in a simple manner. The Wess-Zumino term and the sigma model anomalies for the effective theory are explained.

Finally in the third part, as an implication of chiral anomalies, the chiral soliton model is described. Its relation to QCD in large N is discussed in detail. Quantization of the soliton is done in the path integral formalism.

Thesis Files