Topological Induced Gravity
Topological Induced Gravity
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DOI：
10.1142/s0218271817500237
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发表时间：
2016-03
期刊：
影响因子：
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通讯作者：
I. Oda
中科院分区：
文献类型：
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作者：
I. Oda
我们提出了一个拓扑模型的诱导引力（前几何），牛顿的耦合常数和宇宙常数出现在解决场方程的积分常数。还考虑了标量场的物质部分，通过求解场方程，可以得到FRW宇宙中的各种类型的宇宙学解。通过正则量子化分析，详细分析了使诱导引力成为拓扑场论的BRST变换的意义，阐明了在现有形式中需要BRST变换的物理原因.最后，我们提出了一个动力学机制，固定的拉格朗日乘子场的希格斯机制。本研究清楚地表明，诱导引力可以在经典水平上构建，而无需求助于物质的量子涨落，并提出了一个有趣的诱导引力和拓扑量子场论之间的关系。
We propose a topological model of induced gravity (pregeometry) where both Newton's coupling constant and the cosmological constant appear as integration constants in solving field equations. The matter sector of a scalar field is also considered, and by solving field equations it is shown that various types of cosmological solutions in the FRW universe can be obtained. A detailed analysis is given of the meaning of the BRST transformations, which make the induced gravity be a topological field theory, by means of the canonical quantization analysis, and the physical reason why such BRST transformations are needed in the present formalism is clarified. Finally, we propose a dynamical mechanism for fixing the Lagrange multiplier fields by following the Higgs mechanism. The present study clearly indicates that the induced gravity can be constructed at the classical level without recourse to quantum fluctuations of matter and suggests an interesting relationship between the induced gravity and the topological quantum field theory.