A nonunitary version of massless quantum electrodynamics possessing a critical point

Bender, Carl M.; Milton, K.A.

doi:10.1088/0305-4470/32/7/001

A nonunitary version of massless quantum electrodynamics possessing a critical point

Carl M. Bender
(
- Washington U., St. Louis
)
,
K.A. Milton
(
- Oklahoma U.
)

1999

Published in:

J.Phys.A 32 (1999) L87-L92

DOI:

10.1088/0305-4470/32/7/001

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Abstract: (IOP)

Recently, it has been observed that a quantum field theory need not be hermitian to have a real, positive spectrum. What seems to be required is symmetry under combined parity and time-reversal transformations. This idea is extended to massless electrodynamics, in which the photon couples to the axial-vector current with an imaginary coupling constant. The eigenvalue condition necessary for the finiteness of the theory can now be solved; the value for the charge appears to be stable order-by-order. Similarly, the semiclassical Casimir model for the fine-structure constant yields a positive value.

quantum electrodynamics: massless
parity: invariance
time reversal: invariance
current: axial-vector
photon: coupling
critical phenomena
energy: Casimir
fundamental constant: fine structure
numerical calculations

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