Phase Transition and Absence Of Ghosts in Rigid QED

Details Phase Transition and Absence Of Ghosts in Rigid QED Phase Transition and Absence Of Ghosts in Rigid QED

1994-04-13

arxiv.org/abs/hep-th/9404078v1

Phys.Lett. B325 (1994) 119-123

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 1 figure, phyzzx, to appear in Phys. Lett. B235 (1994), CINCI3-DEC-98

Scientific paper

10.1016/0370-2693(94)90080-9

Ordinary QED formulated in the Feynman's space-time picture is equivalent to a one dimensional field theory. In the large N limit there is no phase transition in such a theory. In this letter, we show a phase transition does exist in a generalization of QED characterized by the addition of the curvature of the world line (rigidity) to the Feynman's space-time action. The large distance scale of the disordered phase essentially coincides with ordinary QED, while the ordered phase is strongly coupled. Although rigid QED exhibits the typical pathologies of higher derivative theories at the classical level, we show that both phases of the quantum theory are free of ghosts and tachyons. Quantum fluctuations prevent taking the naive classical limit and inherting the problems of the classical theory.

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