## 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.

## 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}

}

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}

}