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A string field theory based on causal dynamical triangulations

Jan Ambjørn1,2, Renate Loll2, Yoshiyuki Watabiki3, Willem Westra4 and Stefan Zohren5,6

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We formulate the string field theory in zero-dimensional target space corresponding to the two-dimensional quantum gravity theory defined through Causal Dynamical Triangulations. This third quantization of the quantum gravity theory allows us in principle to calculate the transition amplitudes of processes in which the topology of space changes in time, and to include non-trivial topologies of space-time. We formulate the corresponding Dyson-Schwinger equations and illustrate how they can be solved iteratively.

Keywords

Statistical Methods

Models of Quantum Gravity

Lattice Models of Gravity

2D Gravity

 

E-print Number: 0802.0719

Cited: by |

Refers: to

PACS

11.25.Sq Nonperturbative techniques; string field theory

11.25.Pm Noncritical string theory

04.60.Ds Canonical quantization

04.60.Kz Lower dimensional models; minisuperspace models

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 05 (May 2008)

Received 18 February 2008, accepted for publication 28 April 2008

Published 9 May 2008



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