Nonperturbative two-body dynamics in 2+1-dimensional gravity
- Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221-0011 (United States)
Two-body dynamics in 2+1-dimensional gravity is analyzed from the point of view of the Poincare gauge theory without the [ital a] [ital priori] introduction of a metrical space-time. Making use of the nonuniqueness of the phase space variables, point-like spinless sources are coupled to the Chern--Simons--Witten action in two different ways. In both cases, the exact gravity Hamiltonian is obtained, not by relying on metrical notions, but directly as Wilson loop observables. Then, by viewing the two-body system from a particular frame, and performing a multivalued gauge transformation, it is shown that for both types of matter couplings, the relative coordinate moves on a cone with a deficit angle given by the corresponding classical Hamiltonian. Thus, the metrical space-time emerges as a broken phase of the Poincare gauge theory. For one type of matter coupling, 't Hooft's Hamiltonian is obtained in the low-energy limit. It is also shown that 't Hooft's method of obtaining the scattering amplitude can be made applicable to the exact Hamiltonians by an appropriate reinterpretation of parameters.
- DOE Contract Number:
- FG02-84ER40153
- OSTI ID:
- 7119862
- Journal Information:
- Journal of Mathematical Physics (New York); (United States), Vol. 34:1; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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GENERAL PHYSICS
TWO-BODY PROBLEM
GRAVITATION
GAUGE INVARIANCE
HAMILTONIAN FUNCTION
QUANTUM GRAVITY
SCATTERING AMPLITUDES
SPACE-TIME
AMPLITUDES
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
MANY-BODY PROBLEM
QUANTUM FIELD THEORY
661310* - Relativity & Gravitation- (1992-)