Chiral Anomalies and the Chiral Lagrangian

• Main Author: Sonoda, Hidenori
• Format: Others
• Language: en
• Published: 1985
• Online Access: https://thesis.library.caltech.edu/11376/2/Sonoda_H_1985.pdf; 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 <https://resolver.caltech.edu/CaltechTHESIS:01312019-173857612>

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