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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 analyze the model from a perturbative point of view. We show in particular that the results of conformal field theory are exactly reproduced at the one-loop level. We also show that the theory is one loop finite if the cosmological constant {Lambda} is equal to zero. When {Lambda} is different from zero the one loop divergences are gauge-fixing dependent even on-shell. However, the theory can be renormalized as a non linear sigma model if a kinetic term is included for the auxiliary field. (author). 27 refs.
Publication Date:
Aug 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/238
Reference Number:
SCA: 662110; PA: AIX-23:015373; SN: 92000647075
Resource Relation:
Other Information: PBD: Aug 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GRAVITATION; LIOUVILLE THEOREM; ACTION INTEGRAL; CONFORMAL INVARIANCE; FIELD THEORIES; GAUGE INVARIANCE; PERTURBATION THEORY; RENORMALIZATION; SCALAR FIELDS; SIGMA MODEL; TWO-DIMENSIONAL CALCULATIONS; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10113351
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92615238; TRN: XA9130250015373
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
22 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., 1991. Web.
Mazzitelli, F D, & Mohammedi, N. Classical gravity coupled to Liouville theory. IAEA.
Mazzitelli, F D, and Mohammedi, N. 1991. "Classical gravity coupled to Liouville theory." IAEA.
@misc{etde_10113351,
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 analyze the model from a perturbative point of view. We show in particular that the results of conformal field theory are exactly reproduced at the one-loop level. We also show that the theory is one loop finite if the cosmological constant {Lambda} is equal to zero. When {Lambda} is different from zero the one loop divergences are gauge-fixing dependent even on-shell. However, the theory can be renormalized as a non linear sigma model if a kinetic term is included for the auxiliary field. (author). 27 refs.}
place = {IAEA}
year = {1991}
month = {Aug}
}