Quantum R2 gravity in two dimensions

Kawai, Hiroyuki; Nakayama, Ryuichi

doi:10.1016/0370-2693(93)90072-p

Cited by 48 publications

(87 citation statements)

References 34 publications

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“…Some calculational attempts to address this question within the framework of Liouville theory are inconclusive precisely because they merely perturb by the R 2 term in question (see e.g. [11], [12]). …”

Section: Introduction and Overviewmentioning

confidence: 99%

Exact solution of discrete two-dimensional R2 gravity

Казаков¹,

Staudacher

Wynter³

1996

Nuclear Physics B

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We exactly solve a special matrix model of dually weighted planar graphs describing pure two-dimensional quantum gravity with a R 2 interaction in order to study the intermediate regimes between the gravitating and flat metric. The flat space is modeled by a regular square lattice, while localized curvature is being introduced through defects of the lattice. No "flattening" phase transition is found with respect to the R 2 coupling: the infrared behaviour of the system is that of pure gravity for any finite R 2 coupling. In the limit of infinite coupling, we are able to extract a scaling function interpolating between pure gravity and a phase of a dilute gas of curvature defects on a flat background. We introduce and explain some novel techniques concerning our method of large N character expansions and the calculation of Schur characters on big Young tableaux. December 1995 †

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Section: Introduction and Overviewmentioning

confidence: 99%

Exact solution of discrete two-dimensional R2 gravity

Казаков¹,

Staudacher

Wynter³

1996

Nuclear Physics B

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“…Such a transition is not visible in perturbation theory [6]. If such a transition exists, one would expect the expectation values to flow to a set of values different from those obtained with S = 0.…”

Section: Resultsmentioning

confidence: 87%

Non-perturbative renormalization group flows in two-dimensional quantum gravity

1995

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“…(57). As it has been remarked previously, this action is equivalent to the well known Kawai-Nakayama R 2 model [21], if one omits precisely the "fake" FP term…”

Section: Physical Consequences (Modified Kpz-ddk Model)mentioning

confidence: 83%

Quantization of anomalous gauge field theory and BRST-invariant models of two-dimensional quantum gravity

1996

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We analyze the problems with the so called gauge invariant quantization of the anomalous gauge field theories originary due to Faddeev and Shatashvili (FS). Our analysis bring to a generalization of FS method which allows to construct a series of classically equivalent theories which are non equivalent at quantum level. We prove that these classical theories are all consistent with the BRST invariance of the original gauge symmetry with suitably augmented field content. As an example of such a scenario, we discuss the class of physically distinct models of two dimensional induced gravity which are a generalization of the David-Distler-Kawai model.

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Quantum R2 gravity in two dimensions

Cited by 48 publications

References 34 publications

Exact solution of discrete two-dimensional R2 gravity

Exact solution of discrete two-dimensional R2 gravity

Non-perturbative renormalization group flows in two-dimensional quantum gravity

Quantization of anomalous gauge field theory and BRST-invariant models of two-dimensional quantum gravity

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