Padmanabhan, T.
(1997)
*Duality and zero-point length of spacetime*
Physical Review Letters, 78
(10).
pp. 1854-1857.
ISSN 0031-9007

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Official URL: http://link.aps.org/doi/10.1103/PhysRevLett.78.185...

Related URL: http://dx.doi.org/10.1103/PhysRevLett.78.1854

## Abstract

The action for a relativistic free particle of mass m receives a contribution -mds 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→L_{P}^{2}/ds, 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 (x-y)^{2} to (x-y)^{2}+L_{P}^{2}. The implications of this result are discussed.

Item Type: | Article |
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Source: | Copyright of this article belongs to The American Physical Society. |

ID Code: | 72497 |

Deposited On: | 29 Nov 2011 05:36 |

Last Modified: | 29 Nov 2011 05:36 |

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