New approach to the complex-action problem and its application to a nonperturbative study of superstring theory

K. N. Anagnostopoulos and J. Nishimura
Phys. Rev. D 66, 106008 – Published 26 November 2002
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Abstract

Monte Carlo simulations of a system whose action has an imaginary part are considered to be extremely difficult. We propose a new approach to this “complex-action problem,” which utilizes a factorization property of distribution functions. The basic idea is quite general, and it removes the so-called overlap problem completely. Here we apply the method to a nonperturbative study of superstring theory using its matrix formulation. In this particular example, the distribution function turns out to be positive definite, which allows us to reduce the problem even further. Our numerical results suggest an intuitive explanation for the dynamical generation of 4D space-time.

  • Received 29 January 2002

DOI:https://doi.org/10.1103/PhysRevD.66.106008

©2002 American Physical Society

Authors & Affiliations

K. N. Anagnostopoulos*

  • Department of Physics, University of Crete, P.O. Box 2208, GR-71003 Heraklion, Greece

J. Nishimura

  • The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
  • Department of Physics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8602, Japan

  • *Electronic address: konstant@physics.uoc.gr
  • Electronic address: nisimura@eken.phys.nagoya-u.ac.jp

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Vol. 66, Iss. 10 — 15 November 2002

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