Construction of Non-critical String Field Theory by Transfer Matrix Formalism in Dynamical Triangulation

Abstract

We propose a new method which analyzes the dynamical triangulation from the viewpoint of the non-critical string field theory. By using the transfer matrix formalism, we construct the non-critical string field theory (including $c>1$ cases) at the discrete level. For pure quantum gravity, we succeed in taking the continuum limit and obtain the $c=0$ non-critical string field theory at the continuous level. We also study about the universality of the non-critical string field theory.

64 pages

References in corpus (4)

• Transfer Matrix Formalism for Two-Dimensional Quantum Gravity and Fractal Structures of Space-time
• String Field Theory of Noncritical Strings
• String Field Theory of $c\le 1$ Noncritical Strings
• Scaling Functions for Baby Universes in Two-Dimensional Quantum Gravity

Cited by in corpus (48)

• Non-perturbative Lorentzian Quantum Gravity, Causality and Topology Change
• On the fractal structure of two-dimensional quantum gravity
• Scaling in quantum gravity
• Limit of normalized quadrangulations: The Brownian map
• The spectral dimension of the branched polymers phase of two-dimensional quantum gravity
• A String Field Theory based on Causal Dynamical Triangulations
• Integrable 2D Lorentzian Gravity and Random Walks
• A Matrix Model for 2D Quantum Gravity defined by Causal Dynamical Triangulations
• Quantum gravity as sum over spacetimes
• Quantum geometry of 2d gravity coupled to unitary matter
• A new continuum limit of matrix models
• On the relation between Euclidean and Lorentzian 2D quantum gravity
• The Harris-Luck criterion for random lattices
• Putting a cap on causality violations in CDT
• Geometrical Interpretation of the KPZ Exponents
• Stochastic quantization and the role of time in quantum gravity
• An Iterative Solution of the Three-colour Problem on a Random Lattice
• The quantum space-time of c=-2 gravity
• Summing over all Topologies in CDT String Field Theory
• Non-critical string field theory for 2d quantum gravity coupled to (p,q)--conformal fields
• Combinatorics of bicubic maps with hard particles
• On the Quantum Geometry of Multi-critical CDT
• The Two-point Function of c=-2 Matter Coupled to 2D Quantum Gravity
• Dynamical Triangulations, a Gateway to Quantum Gravity ?
• Random planar maps & growth-fragmentations
• A geometric approach to free variable loop equations in discretized theories of 2D gravity
• Models of the Universe based on Jordan algebras
• The Hausdorff Dimension of Surfaces in Two-Dimensional Quantum Gravity Coupled to Ising Minimal Matter
• Stochastic Hamiltonian for Non-Critical String Field Theories from Double-Scaled Matrix Models
• A causal perspective on random geometry
• A model for emergence of space and time
• Volumes in the Uniform Infinite Planar Triangulation: from skeletons to generating functions
• Planar stochastic hyperbolic infinite triangulations
• Algebraic Structure in Non-Orientable Open-Closed String Field Theories
• Growth of uniform infinite causal triangulations
• Creating 3, 4, 6 and 10-dimensional spacetime from W3 symmetry
• Geodesics in the Brownian map: Strong confluence and geometric structure
• Numerical study for the c-dependence of fractal dimension in two-dimensional quantum gravity
• Algebraic Structure in 0<c<1 Open-Closed String Field Theories
• The F model on dynamical quadrangulations
• Ising model on random triangulations of the disk: phase transition
• ZZ branes from a worldsheet perspective
• Geometry and percolation on half planar triangulations
• Simple peeling of planar maps with application to site percolation
• Loop Equations for + and - Loops in c = 1/2 Non-Critical String Theory
• Critical Behaviour in a Planar Dynamical Triangulation Model with a Boundary
• Peeling and Multi-critical Matter Coupled to Quantum Gravity
• Topology Change and the Emergence of Geometry in Two Dimensional Causal Quantum Gravity