Inflation with a graceful exit in a random landscape
作者: F. G. PedroA. Westphal
作者单位: 1Universidad Autónoma de Madrid
2Deutsches Elektronen-Synchrotron DESY, Theory Group
刊名: Journal of High Energy Physics, 2017, Vol.2017 (3)
来源数据库: Springer Nature Journal
DOI: 10.1007/JHEP03(2017)163
关键词: Flux compactificationsSuperstring Vacua
英文摘要: We develop a stochastic description of small-field inflationary histories with a graceful exit in a random potential whose Hessian is a Gaussian random matrix as a model of the unstructured part of the string landscape. The dynamical evolution in such a random potential from a small-field inflation region towards a viable late-time de Sitter (dS) minimum maps to the dynamics of Dyson Brownian motion describing the relaxation of non-equilibrium eigenvalue spectra in random matrix theory. We analytically compute the relaxation probability in a saddle point approximation of the partition function of the eigenvalue distribution of the Wigner ensemble describing the mass matrices of the critical points. When applied to small-field inflation in the landscape, this leads to an exponentially...
原始语种摘要: We develop a stochastic description of small-field inflationary histories with a graceful exit in a random potential whose Hessian is a Gaussian random matrix as a model of the unstructured part of the string landscape. The dynamical evolution in such a random potential from a small-field inflation region towards a viable late-time de Sitter (dS) minimum maps to the dynamics of Dyson Brownian motion describing the relaxation of non-equilibrium eigenvalue spectra in random matrix theory. We analytically compute the relaxation probability in a saddle point approximation of the partition function of the eigenvalue distribution of the Wigner ensemble describing the mass matrices of the critical points. When applied to small-field inflation in the landscape, this leads to an exponentially...
全文获取路径: Springer Nature  (合作)
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影响因子:5.618 (2012)

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关键词翻译
关键词翻译
  • inflation 膨胀
  • landscape 景观
  • random 随机的
  • graceful 优美的
  • exponentially 按指数规律的
  • equilibrium 平衡
  • eigenvalue 特盏
  • stochastic 随机的
  • develop 发展
  • towards 朝向