Fermion Chiral Anomaly and AtiyahPatodi Index for Spherical Spacetime Boundaries.
Abstract
We study the structure of the fermion chiral anomaly in fourdimensional Euclidean spacetime bounded by a spherical surface via the AtiyahPatodiSinger Index Theorem. The significance of the index theorem in physics is discussed through examples taken from high energy and solid state physics. The proof of the index theorem is then detailed in a relatively pedestrian manner. Two exactly soluble examples involving selfdual gauge fields are presented and the anomaly explicitly evaluated. These two cases consist of a fermion interacting with a U(1) electromagnetic field and an SU(2) instanton, respectively.
 Publication:

Ph.D. Thesis
 Pub Date:
 1987
 Bibcode:
 1987PhDT.......162S
 Keywords:

 Physics: Elementary Particles and High Energy