CPT violation and chiral lattice gauge theory

This thesis is organized as follows: In Chapter 2, an overview of Euclidean fermions is given, paying special attention to the transformations of fermions. This chapter also contains a summary of local gauge transformations, chiral symmetry and the CPT theorem. In Chapter 3, the chiral gauge theory considered is introduced. In particular, the manifold and the gauge group are specified. In Chapter 4, the basic points of chiral lattice gauge theory are summarized. In Chapter 5, the resulting effective action on the lattice and its behavior under a CPT transformation are discussed. In Chapter 6, the effective action is found to be CPT noninvariant for arbitrary lattice spacing a. It is also shown that this anomaly does not vanish in the continuum limit. (orig.)