New approach to the complex-action problem and its application to a nonperturbative study of superstring theory
- 26 November 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 66 (10) , 106008
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.Keywords
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This publication has 24 references indexed in Scilit:
- MICROCANONICAL SIMULATION OF COMPLEX ACTIONS: THE WESS–ZUMINO–WITTEN CASEInternational Journal of Modern Physics C, 2002
- A new method to study lattice QCD at finite temperature and chemical potentialPhysics Letters B, 2002
- Lattice determination of the critical point of QCD at finiteTand μJournal of High Energy Physics, 2002
- Solution of the complex action problem in the Potts model for dense QCDNuclear Physics B, 2001
- Complex Langevin equation and the many-fermion problemPhysical Review C, 2001
- Hamiltonian lattice quantum chromodynamics at finite chemical potentialPhysical Review D, 2000
- Sign problem in Monte Carlo simulations of frustrated quantum spin systemsPhysical Review B, 2000
- Meron-Cluster Solution of Fermion Sign ProblemsPhysical Review Letters, 1999
- A large-N reduced model as superstringNuclear Physics B, 1997
- Meron-Cluster Simulation of theVacuum in the 2D O(3) ModelPhysical Review Letters, 1995