Dissertation/Thesis Abstract

The Geometry of Lattice-Gauge-Orbit Space
by Laufer, Michael Swan, Ph.D., City University of New York, 2011, 60; 3481666
Abstract (Summary)

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.

Indexing (document details)
Advisor: Orland, Peter
Commitee: Dodziuk, Jozef, Stone, David
School: City University of New York
Department: Mathematics
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
Publication Number: 3481666
ISBN: 978-1-267-01083-4
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