English

A new method for probing the late-time dynamics in the Lorentzian type IIB matrix model

High Energy Physics - Theory 2019-12-06 v1 High Energy Physics - Lattice

Abstract

The type IIB matrix model has been investigated as a possible nonperturbative formulation of superstring theory. In particular, it was found by Monte Carlo simulation of the Lorentzian version that the 9-dimensional rotational symmetry of the spatial matrices is broken spontaneously to the 3-dimensional one after some "critical time". In this paper we develop a new simulation method based on the effective theory for the submatrices corresponding to the late time. Using this method, one can obtain the results for N×NN\times N matrices by simulating matrices typically of the size O(N)O(\sqrt{N}). We confirm the validity of this method and demonstrate its usefulness in simplified models.

Keywords

Cite

@article{arxiv.1705.07812,
  title  = {A new method for probing the late-time dynamics in the Lorentzian type IIB matrix model},
  author = {Takehiro Azuma and Yuta Ito and Jun Nishimura and Asato Tsuchiya},
  journal= {arXiv preprint arXiv:1705.07812},
  year   = {2019}
}

Comments

16 pages, 13 figures