Path-integral approach to the two-dimensional magneto-conductivity problem

1975 ◽  
Vol 21 (3) ◽  
pp. 275-283 ◽  
Author(s):  
Rolf R. Gerhardts
1994 ◽  
Vol 49 (10) ◽  
pp. 5621-5624 ◽  
Author(s):  
P. Gaete ◽  
J. Gamboa ◽  
I. Schmidt

1989 ◽  
Vol 67 (5) ◽  
pp. 515-518
Author(s):  
T. F. Treml

The derivation of the photon mass in the Schwinger model (two-dimensional quantum electrodynamics) is studied in a path-integral approach that employs a coordinate-space form of dimensional regularization. The role of the antisymmetric epsilon pseudotensor in dimensional regularization is briefly discussed. It is shown that the correct photon mass may easily be recovered by a dimensionally regularized calculation in which the epsilon pseudotensor is taken to be a purely two-dimensional quantity.


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