The Geometry of Lattice-Gauge-Orbit Space

Title: The Geometry of Lattice-Gauge-Orbit Space
Identifier: d_2009_2013:633a79d44f7e:11051
identifier: 11392
Creator: Laufer, Michael Swan,
Contributor: Peter Orland
Date: 2011
Language: English
Publisher: City University of New York.
Subject: Mathematics | Quantum physics | Gauge Theory | Hamiltonian | Lattice | Orbit Space | Ricci Curvature | Yang-Mills
Abstract: 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.
Type: dissertation
Source: 2009_2013.csv
degree: Ph.D.
Program: Mathematics