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Classical gravity coupled to Liouville theory

Technical Report:

Abstract

We consider the two dimensional Jackiw-Teitelboim model of gravity. We first couple the model to the Liouville action and c scalar fields and show, treating the combined system as a non linear sigma model, that the resulting theory can be interpreted as a critical string moving in a target space of dimension D = c + 2. We then analyse perturbatively a generalized model containing a kinetic term and an arbitrary potential for the auxiliary field. We use the background field method and work covariant gauges. We show that the renormalizability of the theory depends on the form of the potential. For a general potential, the theory can be renormalized as a non linear sigma model. In the particular case of a Liouville-like potential, the theory is renormalized in the usual sense. (author). 31 refs.
Authors:
Mazzitelli, F D; [1]  Mohammedi, N [2] 
  1. International Centre for Theoretical Physics, Trieste (Italy)
  2. Bonn Univ. (Germany). Physikalisches Inst.
Publication Date:
Sep 01, 1992
Product Type:
Technical Report
Report Number:
IC-92/292
Reference Number:
SCA: 662110; 662210; PA: AIX-24:008182; SN: 93000932910
Resource Relation:
Other Information: PBD: Sep 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GRAVITATION; LIOUVILLE THEOREM; ACTION INTEGRAL; CONFORMAL INVARIANCE; NONLINEAR PROBLEMS; RENORMALIZATION; SCALAR FIELDS; SIGMA MODEL; STRING MODELS; TWO-DIMENSIONAL CALCULATIONS; 662110; 662210; THEORY OF FIELDS AND STRINGS; UNIFIED THEORIES AND MODELS
OSTI ID:
10119526
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE93613049; TRN: XA9233082008182
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[20] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Mazzitelli, F D, and Mohammedi, N. Classical gravity coupled to Liouville theory. IAEA: N. p., 1992. Web.
Mazzitelli, F D, & Mohammedi, N. Classical gravity coupled to Liouville theory. IAEA.
Mazzitelli, F D, and Mohammedi, N. 1992. "Classical gravity coupled to Liouville theory." IAEA.
@misc{etde_10119526,
title = {Classical gravity coupled to Liouville theory}
author = {Mazzitelli, F D, and Mohammedi, N}
abstractNote = {We consider the two dimensional Jackiw-Teitelboim model of gravity. We first couple the model to the Liouville action and c scalar fields and show, treating the combined system as a non linear sigma model, that the resulting theory can be interpreted as a critical string moving in a target space of dimension D = c + 2. We then analyse perturbatively a generalized model containing a kinetic term and an arbitrary potential for the auxiliary field. We use the background field method and work covariant gauges. We show that the renormalizability of the theory depends on the form of the potential. For a general potential, the theory can be renormalized as a non linear sigma model. In the particular case of a Liouville-like potential, the theory is renormalized in the usual sense. (author). 31 refs.}
place = {IAEA}
year = {1992}
month = {Sep}
}