corner
corner

Phys. Rev. D 60, 104035 (1999) [11 pages]

New perspective on matter coupling in 2D quantum gravity

Download: PDF (157 kB) Buy this article Export: BibTeX or EndNote (RIS)

J. Ambjørn* and K. N. Anagnostopoulos
The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark

R. Loll
Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 5, D-14476 Golm, Germany

Received 5 April 1999; published 26 October 1999

We provide compelling evidence that a previously introduced model of nonperturbative 2D Lorentzian quantum gravity exhibits (two-dimensional) flat-space behavior when coupled to Ising spins. The evidence comes from both a high-temperature expansion and from Monte Carlo simulations of the combined gravity-matter system. This weak-coupling behavior lends further support to the conclusion that the Lorentzian model is a genuine alternative to Liouville quantum gravity in two dimensions, with a different and much “smoother” critical behavior.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.60.104035
DOI:
10.1103/PhysRevD.60.104035
PACS:
04.60.Gw, 04.20.Gz, 04.60.Kz, 04.60.Nc

*Email address: ambjorn@nbi.dk

Email address: konstant@nbi.dk

Email address: loll@aei-potsdam.mpg.de