Index of lattice dirac operators

• Main Author: Reetabrata Har
• Other Authors: David Henry Adams
• Format: Theses and Dissertations
• Language: English
• Published: 2014
• Subjects: DRNTU::Science::Mathematics
• Online Access: https://hdl.handle.net/10356/61803
• Institution: Nanyang Technological University

The general topic of this thesis is how to define and compute the index of discretised “lattice” versions of the Dirac operator coupled to a topologically nontrivial gauge field. The famous Atiyah-Singer Index Theorem, applied to the usual continuum Dirac operator, says that its index is equal to...