6533b829fe1ef96bd128a198

RESEARCH PRODUCT

A simple microsuperspace model in 2 + 1 spacetime dimensions

Jarmo Mäkelä

subject

PhysicsGeneral Relativity and Quantum CosmologyNuclear and High Energy PhysicsSpacetimeTwo-dimensional spaceQuantum mechanicsPath integral formulationEuclidean geometryMathematical analysisMeasure (physics)Wheeler–DeWitt equationQuantum gravityComplex plane

description

Abstract We quantize the closed Friedmann model in 2 + 1 spacetime dimensions using euclidean path-integral approach and a simple microsuperspace model. A relationship between integration measure and operator ordering in the Wheeler-DeWitt equation is found within our model. Solutions to the Wheeler-DeWitt equation are exactly reproduced from the path integral using suitable integration contours in the complex plane.

https://doi.org/10.1016/0370-2693(92)91394-o