Higher derivative quantum gravity in two dimensions

It is proposed to study geometrodynamics in two space-time dimensions described by a higher derivative action. The Hamilton-Jacobi equation in the superspace approach is exactly solved. Based on the WKB approximation, we argue that the system is stable. It is suggested that within a canonical framew...

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Bibliographic Details
Published inPhysics letters. B Vol. 149; no. 1; pp. 111 - 116
Main Author Yoneya, T.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 1984
Elsevier Science
Subjects
Exact sciences and technology
General relativity and gravitation
Physics
Quantum gravity
Gravitation
Two dimensional model
Quantum theory
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Summary:It is proposed to study geometrodynamics in two space-time dimensions described by a higher derivative action. The Hamilton-Jacobi equation in the superspace approach is exactly solved. Based on the WKB approximation, we argue that the system is stable. It is suggested that within a canonical framework for the exact quantization, there is a built-in mechanism by which the physical cosmological constant always vanishes, irrespective of its bare value.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(84)91564-8