A nonunitary version of massless quantum electrodynamics possessing a critical point

Recently, it has been observed that a quantum field theory need not be herm itian to have a real, positive spectrum. What seems to be required is symme try under combined parity and time-reversal transformations. This idea is e xtended to massless electrodynamics, in which the photon couples to the axi al-vector current with an imaginary coupling constant. The eigenvalue condi tion necessary for the finiteness of the theory can now be solved; the valu e for the charge appears to be stable order-by-order. Similarly, the semicl assical Casimir model for the fine-structure: constant yields a positive va lue.