The structure of perturbative quantum gravity on a de Sitter background

Technical Report · Fri May 01 04:00:00 EDT 1992

DOI:https://doi.org/10.2172/10155799· OSTI ID:10155799

Tsamis, N C ^[1]; Woodward, R P ^[2]

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1. Crete Univ., Iraklion (Greece). Dept. of Physics
2. Florida Univ., Gainesville, FL (United States). Dept. of Physics

Classical gravitation on de Sitter space suffers from a linearization instability. One consequence is that the response to a spatially localized distribution of positive energy cannot be globally regular. We use this fact to show that no causal Green`s function can give the correct linearized response to certain bilocalized distributions, even though these distributions obey the constraints of linearization stability. We avoid the problem by working on the open submanifold spanned by conformal coordinates. The retarded Green`s function is first computed in a simple gauge, then the rest of the propagator is inferred by analyticity -- up to the usual ambiguity about real, analytic and homogeneous terms. We show that the latter can be chosen so as to give a propagator which does not grow in any direction. The ghost propagator is also given and the interaction vertices are worked out.

• Research Organization: Florida Univ., Gainesville, FL (United States). Inst. for Fundamental Theory
• Sponsoring Organization: USDOE, Washington, DC (United States); North Atlantic Treaty Organization, Brussels (Belgium)
• DOE Contract Number: FG05-86ER40272
• OSTI ID: 10155799
• Report Number(s): DOE/ER/40272--162; UFIFT-HEP--92-14; ON: DE92016464; IN: CRETE-92-11; CNN: Grant CRG-920627
• Country of Publication: United States
• Language: English

Related Subjects

661100
661310
662110
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLASSICAL AND QUANTUM MECHANICS
DE SITTER GROUP
FLUCTUATIONS
GRAVITONS
GREEN FUNCTION
HAMILTONIANS
INSTABILITY
QUANTUM GRAVITY
RELATIVITY AND GRAVITATION
THEORY OF FIELDS AND STRINGS