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Perturbative analyses in two dimensional gravity

Technical Report:

Abstract

A generalised action for two dimensional quantum gravity is considered. This includes, in addition to the Einstein-Hilbert action near two dimensions, a term imposing the constancy of the scalar curvature R. The propagators have no poles in {epsilon}(d = 2 - {epsilon}) and the theory can be made on-shell finite by tuning some parameters. We argue that the anomalous dimensions of certain operators do not get renormalised. This is in agreement with the exact solution of the Liouville theory supplemented with a constraint expressing the constancy of R. (author). 21 refs.
Publication Date:
Jun 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/107
Reference Number:
SCA: 661100; PA: AIX-22:081600; SN: 91000608777
Resource Relation:
Other Information: PBD: Jun 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM GRAVITY; TWO-DIMENSIONAL CALCULATIONS; ACTION INTEGRAL; PROPAGATOR; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10105572
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92609088; TRN: XA9129633081600
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
13 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Mazzitelli, F D, and Mohammedi, N. Perturbative analyses in two dimensional gravity. IAEA: N. p., 1991. Web.
Mazzitelli, F D, & Mohammedi, N. Perturbative analyses in two dimensional gravity. IAEA.
Mazzitelli, F D, and Mohammedi, N. 1991. "Perturbative analyses in two dimensional gravity." IAEA.
@misc{etde_10105572,
title = {Perturbative analyses in two dimensional gravity}
author = {Mazzitelli, F D, and Mohammedi, N}
abstractNote = {A generalised action for two dimensional quantum gravity is considered. This includes, in addition to the Einstein-Hilbert action near two dimensions, a term imposing the constancy of the scalar curvature R. The propagators have no poles in {epsilon}(d = 2 - {epsilon}) and the theory can be made on-shell finite by tuning some parameters. We argue that the anomalous dimensions of certain operators do not get renormalised. This is in agreement with the exact solution of the Liouville theory supplemented with a constraint expressing the constancy of R. (author). 21 refs.}
place = {IAEA}
year = {1991}
month = {Jun}
}