Critical phenomena in causal dynamical triangulations

TY - JOUR

T1 - Critical phenomena in causal dynamical triangulations

AU - Ambjorn, J.

AU - Coumbe, D.

AU - Gizbert-Studnicki, J.

AU - Gorlich, A.

AU - Jurkiewicz, J.

PY - 2019/10/15

Y1 - 2019/10/15

N2 - Four-dimensional CDT (causal dynamical triangulations) is a lattice theory of geometries which one might use in an attempt to define quantum gravity non-perturbatively, following the standard procedures of lattice field theory. Being a theory of geometries, the phase transitions which in usual lattice field theories are used to define the continuum limit of the lattice theory will in the CDT case be transitions between different types of geometries. This picture is interwoven with the topology of space which is kept fixed in the lattice theory, the reason being that 'classical' geometries around which the quantum fluctuations take place depend crucially on the imposed topology. Thus it is possible that the topology of space can influence the phase transitions and the corresponding critical phenomena used to extract continuum physics. In this article we perform a systematic comparison between a CDT phase transition where space has spherical topology and the 'same' transition where space has toroidal topology. The 'classical' geometries around which the systems fluctuate are very different it the two cases, but we find that the order of phase transition is not affected by this.

AB - Four-dimensional CDT (causal dynamical triangulations) is a lattice theory of geometries which one might use in an attempt to define quantum gravity non-perturbatively, following the standard procedures of lattice field theory. Being a theory of geometries, the phase transitions which in usual lattice field theories are used to define the continuum limit of the lattice theory will in the CDT case be transitions between different types of geometries. This picture is interwoven with the topology of space which is kept fixed in the lattice theory, the reason being that 'classical' geometries around which the quantum fluctuations take place depend crucially on the imposed topology. Thus it is possible that the topology of space can influence the phase transitions and the corresponding critical phenomena used to extract continuum physics. In this article we perform a systematic comparison between a CDT phase transition where space has spherical topology and the 'same' transition where space has toroidal topology. The 'classical' geometries around which the systems fluctuate are very different it the two cases, but we find that the order of phase transition is not affected by this.

KW - Monte Carlo simulations

KW - critical phenomena

KW - causal dynamical triangulation

KW - non-perturbative quantum gravity

U2 - 10.1088/1361-6382/ab4184

DO - 10.1088/1361-6382/ab4184

M3 - Journal article

SN - 0264-9381

VL - 36

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 22

M1 - 224001

ER -