Physical States in Matter-Coupled Dilaton Gravity

Details Physical States in Matter-Coupled Dilaton Gravity Physical States in Matter-Coupled Dilaton Gravity

1995-05-25

arxiv.org/abs/hep-th/9505161v1

Annals Phys. 245 (1996) 408-444

Physics

High Energy Physics

High Energy Physics - Theory

43 pages in REVTeX

Scientific paper

10.1006/aphy.1996.0015

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 satisfying {\it all} the 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.

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