A string field theory based on causal dynamical  triangulations

doi:10.1088/1126-6708/2008/05/032

A string field theory based on causal dynamical triangulations

Jan Ambjørn et al JHEP05(2008)032 doi: 10.1088/1126-6708/2008/05/032

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Jan Ambjørn^1,2, Renate Loll², Yoshiyuki Watabiki³, Willem Westra⁴ and Stefan Zohren^5,6
¹ The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
² Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, NL-3584 CE Utrecht, The Netherlands
³ Tokyo Institute of Technology, Dept. of Physics, High Energy Theory Group, 2-12-1 Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan
⁴ Department of Physics, University of Iceland, Dunhaga 3, 107 Reykjavik, Iceland
⁵ Blackett Laboratory, Imperial College, London SW7 2AZ, UK
⁶ Department of Physics, Ochanomizu University, Otsuka, Bunkyo-ku, Tokyo 112-8610, Japan
E-mail: ambjorn@nbi.dk

Abstract. 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.

Key words: Lattice Models of Gravity; 2D Gravity; Models of Quantum Gravity; Statistical Methods

E-print number: 0802.0719
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Received 18 February 2008, accepted for publication 28 April 2008
Published 9 May 2008

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A string field theory based on causal dynamical triangulations

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