Two-dimensional electrodynamics and the global structure of space

Glen McHale*, George Jaroszkiewicz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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
Article number018
Pages (from-to)2099-2104
Number of pages6
JournalJournal of Physics A: Mathematical and General
Issue number11
Publication statusPublished - 1 Aug 1986


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