In this paper, the Riemannian geometry of gauge-orbit space on the lattice with open boundary conditions is explored. It is shown how the metric and inverse metric tensors can be calculated, and further how the Ricci curvature might be calculated. The metric tensor and the inverse metric tensor are calculated for special cases, and some conjectures about the curvature of the space are made, which, if true, would move towards implying a mass gap in the theory.
|Commitee:||Dodziuk, Jozef, Stone, David|
|School:||City University of New York|
|School Location:||United States -- New York|
|Source:||DAI-B 73/02, Dissertation Abstracts International|
|Subjects:||Mathematics, Quantum physics|
|Keywords:||Gauge theory, Hamiltonian, Lattice, Orbit space, Ricci curvature, Yang-mills|
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