Quantum Stability of the Phase Transition in Rigid QED

Details Quantum Stability of the Phase Transition in Rigid QED Quantum Stability of the Phase Transition in Rigid QED

1995-04-07

arxiv.org/abs/hep-th/9504044v2

Phys.Lett. B352 (1995) 428-434

Physics

High Energy Physics

High Energy Physics - Theory

PHYZZX, 9 pages, 3 Postscript figures, to be published in Nucl. Phys. B

Scientific paper

10.1016/0370-2693(95)00418-K

Rigid QED is a renormalizable generalization of Feynman's space-time action characterized by the addition of the curvature of the world line (rigidity). We have recently shown that a phase transition occurs in the leading approximation of the large N limit. The disordered phase essentially coincides with ordinary QED, while the ordered phase is a new theory. We have further shown that both phases of the quantum theory are free of ghosts and tachyons. In this letter, we study the first sub-leading quantum corrections leading to the renormalized mass gap equation. Our main result is that the phase transition does indeed survive these quantum fluctuations.

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