论文标题
Lorentzian量子宇宙学和Trans-Planckian物理学中没有平滑时空
No Smooth Spacetime in Lorentzian Quantum Cosmology and Trans-Planckian Physics
论文作者
论文摘要
在Minisuperspace量子宇宙学中，最近已经分析了无界和隧道提案的洛伦兹路径积分制剂。但是已经指出，围绕均质和各向同性背景周围线性化扰动的波函数是一种反高斯形式，因此它们的相关函数是不同的。在本文中，我们通过修改基于跨普兰克物理学的分散关系来重新审视此问题，并考虑洛伦兹量子宇宙学中扰动的问题。我们考虑了两个经过修改的分散关系，即具有较高势头项的广义Corley-Jacobson分散关系，以及带有trans-Planckian模式截止的Unruh色散关系，如示例。我们表明，洛伦兹量子宇宙学中扰动的逆向问题很难克服跨planckian物理学在短距离内修改色散关系。
In minisuperspace quantum cosmology, the Lorentzian path integral formulations of the no-boundary and tunneling proposals have recently been analyzed. But it has been pointed out that the wave function of linearized perturbations around a homogeneous and isotropic background is of an inverse Gaussian form and thus that their correlation functions are divergent. In this paper, we revisit this issue and consider the problem of perturbations in Lorentzian quantum cosmology by modifying the dispersion relation based on trans-Planckian physics. We consider two modified dispersion relations, the generalized Corley-Jacobson dispersion relation with higher momentum terms and the Unruh dispersion relation with a trans-Planckian mode cut-off, as examples. We show that the inverse Gaussian problem of perturbations in Lorentzian quantum cosmology is hard to overcome with the trans-Planckian physics modifying the dispersion relation at short distances.
