论文标题
Yang-Mills矩阵模型的宇宙时间演化和传播器
Cosmic time evolution and propagator from a Yang-Mills matrix model
论文作者
论文摘要
我们考虑了IKKT型矩阵模型的解决方案，该模型可以被视为具有Minkowski签名和大弹跳样奇异性的1+1维时空。提出了合适的$ i \ varepsilon $正规化，提出了Lorentzian Matrix积分的正则化，这导致了有效野外理论的标准$ i \ varepsilon $ - 按照。特别是，Feynman繁殖者在当地被回收了很晚。这表明，即使在非平凡的几何形状上，也可以在基质模型中出现因果结构和时间演变。我们还考虑了通过大弹力传播模式的传播，并观察到BB后BB和BB板之间有一个有趣的相关性，这反映了目标空间中Brane的结构。
We consider a solution of a IKKT-type matrix model which can be considered as a 1+1-dimensional space-time with Minkowski signature and a Big Bounce-like singularity. A suitable $i\varepsilon$ regularization of the Lorentzian matrix integral is proposed, which leads to the standard $i\varepsilon$-prescription for the effective field theory. In particular, the Feynman propagator is recovered locally for late times. This demonstrates that a causal structure and time evolution can emerge in the matrix model, even on non-trivial geometries. We also consider the propagation of modes through the Big Bounce, and observe an interesting correlation between the post-BB and pre-BB sheets, which reflects the structure of the brane in target space.
