Published July 1988
| Version v1
Journal article
Non-perturbative 2-particle scattering amplitudes in 2+1 dimensional quantum gravity
Description
A quantum theory for scalar particles interacting only gravitationally in 2+1 dimensions is considered. Since there are no real gravitons the interaction is entirely topological. Nevertheless, there is non-trivial scattering. We show that the two-particle amplitude can be computed exactly. Although the complete 'theory' is not well understood we suggest an approach towards formulating the N particle problem. (orig.)
Additional details
Publishing Information
- Journal Title
- Commun. Math. Phys.
- Journal Volume
- 117
- Journal Issue
- 4
- Series
- Commun. Math. Phys.
- Journal Page Range
- 685-700
- ISSN
- 0010-3616
- CODEN
- CMPHA
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 19069578
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANNIHILATION; BOSONS; BOUNDARY CONDITIONS; FEYNMAN DIAGRAM; GRAVITATIONAL INTERACTIONS; GRAVITONS; HILBERT SPACE; PAIR PRODUCTION; PERTURBATION THEORY; QUANTUM GRAVITY; QUANTUM MECHANICS; SCATTERING; SCATTERING AMPLITUDES; SPACE-TIME; THREE-DIMENSIONAL CALCULATIONS; TOPOLOGY; TWO-BODY PROBLEM; TWO-DIMENSIONAL CALCULATIONS; VERTEX FUNCTIONS; WAVE EQUATIONS; WAVE FUNCTIONS; WAVE PROPAGATION
- Descriptors DEC
- AMPLITUDES; BANACH SPACE; BASIC INTERACTIONS; DIAGRAMS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; EQUATIONS; FIELD THEORIES; FUNCTIONS; GRAVITATIONAL RADIATION; INFORMATION; INTERACTIONS; MANY-BODY PROBLEM; MASSLESS PARTICLES; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE INTERACTIONS; PARTICLE PRODUCTION; POSTULATED PARTICLES; QUANTUM FIELD THEORY; RADIATIONS; SPACE
Optional Information
- Contract/Grant/Project number
- Grant PHY-86-20266