Duality and Zero-Point Length of Spacetime

Journal Article · Sat Mar 01 04:00:00 EST 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.78.1854· OSTI ID:475696

Padmanabhan, T ^[1]

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1. IUCAA, Post Bag 4, Ganeshkhind, Pune 411 007 (India)

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 {open_quotes}duality{close_quote}{close_quote} transformation ds{r_arrow}L{sup 2}{sub P}/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){sup 2} to (x-y){sup 2}+L{sup 2}{sub P}. The implications of this result are discussed. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 475696
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 10 Vol. 78; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DAMPING
DUALITY
FEYNMAN PATH INTEGRAL
MASS
PROPAGATOR
QUANTUM FIELD THEORY
QUANTUM GRAVITY
SCALAR FIELDS
SPACE-TIME