Two-dimensional electrodynamics and the global structure of space

Glen McHale, George Jaroszkiewicz

Research output: Contribution to journalArticlepeer-review

Abstract

Two-dimensional electrodynamics based on the spacetime S1(X)R is formulated using Fourier series and Dirac's constraint theory. The role of the background electric field F as a dynamical variable is established. The authors show that the background field is unstable against a class of charged pair creation processes involving the global topology of S1 provided mod F mod >1/2e, where e is the unit of electric charge. The results do not require any discussion of the Coulomb Green function or of the role of charges on spatial boundaries.
Original languageEnglish
Pages (from-to)2099-2104
Number of pages6
JournalJournal of Physics A: Mathematical and Theoretical
Volume19
Issue number11
DOIs
Publication statusPublished - 1 Aug 1986

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