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Topology change and the propagation of massless fields

Research output: Contribution to journalJournal article

Published

Journal publication date07/1995
JournalJournal of Mathematical Physics
Journal number7
Volume36
Number of pages24
Pages3353-3376
Original languageEnglish

Abstract

The massless wave equation on a class of two-dimensional manifolds consisting of an arbitrary number of topological cylinders connected to one or more topological spheres are analyzed herein. Such manifolds are endowed with a degenerate (non-globally hyperbolic) metric. Attention is drawn to the topological constraints on solutions describing monochromatic modes on both compact and noncompact manifolds. Energy and momentum currents are constructed and a new global sum rule discussed. The results offer a rigorous background for the formulation of a field theory of topologically induced particle production.