Duality and Zero-Point Length of Spacetime
نویسنده
چکیده
The action for a relativistic free particle of mass m receives a contribution 2mds from a path of infinitesimal length ds. Using this action in a path integral, one can obtain the Feynman propagator for a spinless particle of mass m. Assuming that the path integral amplitude is invariant under the “duality” transformation ds ! LPyds, one can calculate the modified Feynman propagator. I show that this propagator is the same as the one obtained by assuming that quantum effects of gravity lead to modification of the spacetime interval sx 2 yd2 to sx 2 yd2 1 LP . The implications of this result are discussed. [S0031-9007(97)02531-3]
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