Cosmic time evolution and propagator from a Yang–Mills matrix model
Cosmic time evolution and propagator from a Yang–Mills matrix model
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杨-米尔斯矩阵模型的宇宙时间演化和传播器
DOI：
10.1088/1751-8121/acc61e
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
H. Steinacker
中科院分区：
文献类型：
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作者：
Joanna L. Karczmarek;H. Steinacker
我们考虑 IKKT 型矩阵模型的解，该模型可以被视为具有 Minkowski 签名和类 Big Bounce (BB) 奇点的 1+1 维时空。提出了洛伦兹矩阵积分的合适 iε 正则化，从而得出有效场理论的标准 iε 规定。特别是，费曼传播器在后期被本地恢复。这表明因果结构和时间演化可以出现在矩阵模型中，即使在不平凡的几何结构上也是如此。我们还考虑了模式通过 BB 的传播，并观察了 BB 后和 BB 前片材之间有趣的相关性，这反映了目标空间中膜的结构。
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 (BB)-like singularity. A suitable iε regularization of the Lorentzian matrix integral is proposed, which leads to the standard iε -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 BB, and observe an interesting correlation between the post-BB and pre-BB sheets, which reflects the structure of the brane in target space.