Fourth Order Theories Without Ghosts

Details Fourth Order Theories Without Ghosts Fourth Order Theories Without Ghosts

2000-01-19

arxiv.org/abs/hep-th/0001115v1

Physics

High Energy Physics

High Energy Physics - Theory

RevTeX, 8 pages

Scientific paper

Using the Dirac constraint method we show that the pure fourth-order Pais-Uhlenbeck oscillator model is free of observable negative norm states. Even though such ghosts do appear when the fourth order theory is coupled to a second order one, the limit in which the second order action is switched off is found to be a highly singular one in which these states move off shell. Given this result, construction of a fully unitary, renormalizable, gravitational theory based on a purely fourth order action in 4 dimensions now appears feasible.

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