Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-08-28
Phys.Rev.Lett. 78 (1997) 1854-1857
Physics
High Energy Physics
High Energy Physics - Theory
Revtex document; 4 pages
Scientific paper
10.1103/PhysRevLett.78.1854
The action for a relativistic free particle of mass $m$ receives a contribution $-mds$ from a path segment of infinitesimal length $ds$. Using this action in a path integral, one can obtain the Feynman propagator for a spinless particle of mass $m$. If one of the effects of quantizing gravity is to introduce a minimum length scale $L_P$ in the spacetime, then one would expect the segments of paths with lengths less than $L_P$ to be suppressed in the path integral. Assuming that the path integral amplitude is invariant under the `duality' transformation $ds\to L_P^2/ds$, 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 leads to modification of the spacetime interval $(x-y)^2$ to $(x-y)^2+L_P^2$. This equivalence suggests a deep relationship between introducing a `zero-point-length' to the spacetime and postulating invariance of path integral amplitudes under duality transformations.
No associations
LandOfFree
Duality and zero-point length of spacetime does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Duality and zero-point length of spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Duality and zero-point length of spacetime will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-696971