论文标题
宇宙学最小巨大狂热模型的量子相空间描述
Quantum Phase Space Description of a Cosmological Minimal Massive Bigravity Model
论文作者
论文摘要
双重重力理论描述了在存在额外的自旋2场的情况下引力相互作用。 Hassan-Rosen（HR）非线性巨大的最小巨型理论是一种无幽灵的双灵理论，该理论尊重平坦的动态参考度量。在这项工作中，变形量化形式主义应用于Minisuperspace中的HR宇宙学模型。在MinisuperSpace中，对量子宇宙学明确执行量化程序。制定了具有平坦指标的Friedmann-Lema-Robertson-Walker（FLRW）模型，并在数值上完成了Hartle-Hawking，Vilenkin和Linde波函数的Wigner函数的计算，并且在Hartle-Hawking案例中也完成了。从量子微型器相空间中的稳定性分析中，可以发现对重力质量的解释为新兴的宇宙常数，也可以解释wigner函数经典行为的偏差。同样，从hartle-hawking案例中，讨论了弯曲曲与重力质量之间的有趣关系
Bimetric gravity theories describes gravitational interactions in the presence of an extra spin-2 field. The Hassan-Rosen (HR) nonlinear massive minimal bigravity theory is a ghost-free bimetric theory formulated with respect a flat, dynamical reference metric. In this work the deformation quantization formalism is applied to a HR cosmological model in the minisuperspace. The quantization procedure is performed explicitly for quantum cosmology in the minisuperspace. The Friedmann-Lemaître-Robertson-Walker (FLRW) model with flat metrics is worked out and the computation of the Wigner functions for theHartle-Hawking, Vilenkin and Linde wavefunctions are done numerically and, in the Hartle-Hawking case, also analytically. From the stability analysis in the quantum minisuper phase space it is found an interpretation of the mass of graviton as an emergent cosmological constant and as a measure of the deviation of classical behavior of the Wigner functions. Also, from the Hartle-Hawking case, an interesting relation between the curvature and the mass of graviton in a cusp catastrophe surface is discussed
