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Journal of High Energy Physics

, 2015:70 | Cite as

Power-law expansion of the Universe from the bosonic Lorentzian type IIB matrix model

  • Yuta Ito
  • Jun NishimuraEmail author
  • Asato Tsuchiya
Open Access
Regular Article - Theoretical Physics
First Online:

Abstract

Recent studies on the Lorentzian version of the type IIB matrix model show that (3+1)D expanding universe emerges dynamically from (9+1)D space-time predicted by superstring theory. Here we study a bosonic matrix model obtained by omitting the fermionic matrices. With the adopted simplification and the usage of a large-scale parallel computer, we are able to perform Monte Carlo calculations with matrix size up to N = 512, which is twenty times larger than that used previously for the studies of the original model. When the matrix size is larger than some critical value N c ≃ 110, we find that (3+1)D expanding universe emerges dynamically with a clear large-N scaling property. Furthermore, the observed increase of the spatial extent with time t at sufficiently late times is consistent with a power-law behavior t 1/2, which is reminiscent of the expanding behavior of the Friedmann-Robertson-Walker universe in the radiation dominated era. We discuss possible implications of this result on the original supersymmetric model including fermionic matrices.

Keywords

Matrix Models 1/N Expansion 
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Copyright information

© The Author(s) 2015

Authors and Affiliations

  1. 1.Department of Particle and Nuclear PhysicsGraduate University for Advanced Studies (SOKENDAI)TsukubaJapan
  2. 2.High Energy Accelerator Research Organization (KEK)TsukubaJapan
  3. 3.Department of PhysicsShizuoka UniversitySuruga-kuJapan

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