论文标题
动态lambda的量子宇宙学
Quantum cosmology of a dynamical Lambda
论文作者
论文摘要
通过允许扭转进入引力动力学，可以将宇宙常数$λ$促进到一类准探针理论中的动力学变量。在本文中，我们在连接表示中对这些理论执行这些理论的迷你空间量化。如果$λ$保持固定，则解决方案是Chern-Simons（CS）状态的Delta差异版本，该版本是Hartle and Hawking和Vilenkin Wave-pounctions的双重双重。我们发现，如果Euler Quasi-Topological不变式动态化$λ$，则CS状态也可以解决Wheeler-Dewitt方程。在没有临界点（IR）截止的情况下，CS状态表明边缘概率$ p（λ）=δ（λ）$。如果出于某种原因，如果有IR截止值（无论出于何种原因），概率在切断时会达到高峰。但是，在奇特 - 奥德分支中，我们仍然可以找到CS状态是一种特定的（但不是大多数一般）解决方案，但是需要进一步的工作来提高预测。对于基于泛素蛋白不变的理论（仅具有奇偶元分支），CS波函数不再是对约束的解决方案。在这种情况下，我们找到了最通用的解决方案，该解决方案再次为$λ$的一系列预测留出了空间。
By allowing torsion into the gravitational dynamics one can promote the cosmological constant, $Λ$, to a dynamical variable in a class of quasi-topological theories. In this paper we perform a mini-superspace quantization of these theories in the connection representation. If $Λ$ is kept fixed, the solution is a delta-normalizable version of the Chern-Simons (CS) state, which is the dual of the Hartle and Hawking and Vilenkin wave-functions. We find that the CS state solves the Wheeler-DeWitt equation also if $Λ$ is rendered dynamical by an Euler quasi-topological invariant, {\it in the parity-even branch of the theory}. In the absence of an infra-red (IR) cut-off, the CS state suggests the marginal probability $P(Λ)=δ(Λ)$. Should there be an IR cutoff (for whatever reason) the probability is sharply peaked at the cut off. In the parity-odd branch, however, we can still find the CS state as a particular (but not most general) solution, but further work is needed to sharpen the predictions. For the theory based on the Pontryagin invariant (which only has a parity-odd branch) the CS wave function no longer is a solution to the constraints. We find the most general solution in this case, which again leaves room for a range of predictions for $Λ$.
