Towards an UV fixed point in CDT gravity

Abstract

CDT is an attempt to formulate a non-perturbative lattice theory of quantum gravity. We describe the phase diagram and analyse the phase transition between phase B and phase C (which is the analogue of the de Sitter phase observed for the spherical spatial topology). This transition is accessible to ordinary Monte Carlo simulations when the topology of space is toroidal. We find that the transition is most likely first order, but with unusual properties. The end points of the transition line are candidates for second order phase transition points where an UV continuum limit might exist.

18 pages, 7 figures

References in corpus (33)

• Nonperturbative Evolution Equation for Quantum Gravity
• Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
• Spectral Dimension of the Universe
• Fixed points of quantum gravity
• Emergence of a 4D World from Causal Quantum Gravity
• Reconstructing the Universe
• Nonperturbative Quantum Gravity
• Dynamically Triangulating Lorentzian Quantum Gravity
• Matrix Model Calculations beyond the Spherical Limit
• A non-perturbative Lorentzian path integral for gravity
• Planckian Birth of the Quantum de Sitter Universe
• The Nonperturbative Quantum de Sitter Universe
• Focusing on the Fixed Point of 4D Simplicial Gravity
• Semiclassical Universe from First Principles
• A second-order phase transition in CDT
• Second- and First-Order Phase Transitions in CDT
• The Semiclassical Limit of Causal Dynamical Triangulations
• Scaling in four dimensional quantum gravity
• Evidence for Asymptotic Safety from Lattice Quantum Gravity
• Lattice Quantum Gravity and Asymptotic Safety
• Renormalization Group Flow in CDT
• Exploring Euclidean Dynamical Triangulations with a Non-trivial Measure Term
• Characteristics of the new phase in CDT
• Euclidian 4d quantum gravity with a non-trivial measure term
• New higher-order transition in causal dynamical triangulations
• Singular Structure in 4D Simplicial Gravity
• The effective action in 4-dim CDT. The transfer matrix approach
• Impact of topology in causal dynamical triangulations quantum gravity
• Signature Change of the Metric in CDT Quantum Gravity?
• The phase structure of Causal Dynamical Triangulations with toroidal spatial topology
• Four-dimensional CDT with toroidal topology
• The transfer matrix in four-dimensional CDT
• Exploring the new phase transition of CDT

Cited by in corpus (8)

• On the scaling of composite operators in Asymptotic Safety
• The higher-order phase transition in toroidal CDT
• Critical Phenomena in Causal Dynamical Triangulations
• Scalar fields in Causal Dynamical Triangulations
• Properties of dynamical fractal geometries in the model of Causal Dynamical Triangulations
• Topology induced first-order phase transitions in lattice quantum gravity
• Quantum metrics with very low action in $R+R^2$ gravity
• Yang--Mills topology on four-dimensional triangulations