Mass zeros in the oneloop effective actions of QED in 1+1 and 3+1 dimensions
Abstract
It is known that the oneloop effective action of QED_{2} is a quadratic in the field strength when the fermion mass is zero: all potential higher order contributions beyond second order vanish. For a nonzero fermion mass it is shown that this behavior persists for a general class of fields for at least one value of the fermion mass when the external field's flux Φ satisfies 0<\eΦ\<2π. For QED_{4} with (anti)selfdual fields the massshell renormalized oneloop effective action vanishes for at least one value of the fermion mass provided a plausible zeromass limit exists.
 Publication:

Physical Review D
 Pub Date:
 December 2000
 DOI:
 10.1103/PhysRevD.62.125007
 arXiv:
 arXiv:hepth/0010008
 Bibcode:
 2000PhRvD..62l5007F
 Keywords:

 12.20.Ds;
 11.10.Kk;
 11.15.Tk;
 Specific calculations;
 Field theories in dimensions other than four;
 Other nonperturbative techniques;
 High Energy Physics  Theory
 EPrint:
 Section IV has been amended