Work

Scaling and renormalization in two dimensional quantum gravity

Year: 2015

Type: article

Abstract: We study scaling and renormalization in two dimensional quantum gravity in a covariant framework. After reviewing the definition of a proper path integral measure, we use scaling arguments to rederive the Knizhnik-Polyakov-Zamolodchikov relations, the fractal dimension of the theory and the scaling of the reparametrization-invariant two point function. Then we compute the scaling exponents entering in these relations by means of the functional renormalization group. We show that a key ingredient to obtain the correct results already known from Liouville theory is the use of the exponential parametrization for metric fluctuations. We also show that with this parametrization we can recover the correct finite part of the effective action as the $\ensuremath{\epsilon}\ensuremath{\rightarrow}0$ limit of quantum gravity in $d=2+\ensuremath{\epsilon}$.

Source: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

DOI: 10.1103/physrevd.92.024026

Authors: Alessandro Codello, Giulio D’Odorico

Institutions: University of Southern Denmark, Radboud University Nijmegen

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Stichting voor Fundamenteel Onderzoek der Materie, Netherlands Organization for International Cooperation in Higher Education, Danmarks Grundforskningsfond

Awards: G1082361991, G926798695, G970307969