TY - JOUR
T1 - Two-dimensional electrodynamics and the global structure of space
AU - McHale, Glen
AU - Jaroszkiewicz, George
PY - 1986/8/1
Y1 - 1986/8/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=36149030065&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/19/11/018
DO - 10.1088/0305-4470/19/11/018
M3 - Article
AN - SCOPUS:36149030065
SN - 0305-4470
VL - 19
SP - 2099
EP - 2104
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 11
M1 - 018
ER -