A new perspective on matter coupling in two-dimensional gravity.

Ambjörn, Jan; Anagnostopoulos, K. N.; Loll, Renate

doi:10.1103/PhysRevD.60.104035

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A new perspective on matter coupling in two-dimensional gravity.

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Loll, Renate
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Ambjörn, J., Anagnostopoulos, K. N., & Loll, R. (1999). A new perspective on matter coupling in two-dimensional gravity. Physical Review D, 60(10): 104035. doi:10.1103/PhysRevD.60.104035.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-581F-8

Abstract

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.