Physical States in Matter-Coupled Dilaton Gravity

We revisit the quantization of matter-coupled, two-dimensional dilaton gravity. At the classical level and with a cosmological term, a series of field transformations leads to a set of free fields of indefinite signature. Without matter the system is represented by two scalar fields of opposite sign...

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Bibliographic Details
Published inAnnals of physics Vol. 245; no. 2; pp. 408 - 444
Main Authors Cangemi, D., Jackiw, R., Zwiebach, B.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.02.1996
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Summary:We revisit the quantization of matter-coupled, two-dimensional dilaton gravity. At the classical level and with a cosmological term, a series of field transformations leads to a set of free fields of indefinite signature. Without matter the system is represented by two scalar fields of opposite signature. With a particular quantization for the scalar with negative kinetic energy, the system has zero central charge and we find some physical states satisfyingallthe Virasoro conditions. With matter, the constraints cannot be solved because of the Virasoro anomaly. We discuss two avenues for consistent quantization: modification of the constraints, and BRST quantization. The first avenue appears to lead to very few physical states. The second, which roughly corresponds to satisfying half of the Virasoro conditions, results in a rich spectrum of physical states. This spectrum, however, differs significantly from that of free matter fields propagating on flat two-dimensional space-time.
ISSN:0003-4916
1096-035X
DOI:10.1006/aphy.1996.0015