Quantum dynamics of Kaluza-Klein theories
Quantum dynamics of Kaluza-Klein theories
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卡鲁扎-克莱因理论的量子动力学
DOI：
10.1103/physrevd.28.772
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发表时间：
1983
影响因子：
5
通讯作者：
A. Chodos
中科院分区：
文献类型：
--
作者：
T. Appelquist;A. Chodos
研究了Kaluza-Klein理论的一些量子性质。这些理论的经典功能进行审查，并在任意数量的维度的引力场的量子化进行了说明。然后将这些结果应用于五维卡鲁扎-克莱因模型的详细分析。第五维被认为是紧凑的和量子有效的潜力，作为一个函数的五个五分量的度量，被构造。有人认为，单圈计算是可靠的，只要第五维周围的距离比普朗克长度大。有效势分为两部分：一个是诱导宇宙学常数，与第五维的大小无关，另一个是依赖于距离的“卡西米尔”能量。宇宙学项被减去，留下一个吸引的卡西米尔势，它将把第五维压缩到普朗克长度的量级。这一结果的后果进行了讨论，并概述了它可以推广的一些方式。
Some of the quantum properties of Kaluza-Klein theories are studied. The classical features of these theories are reviewed, and the quantization of the gravitational field in an arbitrary number of dimensions is described. These results are then applied to a detailed analysis of the five-dimensional Kaluza-Klein model. The fifth dimension is taken to be compact and a quantum effective potential, as a function of the five-five component of the metric, is constructed. It is argued that the one-loop computation is reliable as long as the distance around the fifth dimension is large compared to the Planck length. The effective potential separates into two pieces: an induced cosmological constant, independent of the size of the fifth dimension, and a distance-dependent ''Casimir'' energy. The cosmological term is subtracted, leaving an attractive Casimir potential which will contract the fifth dimension to a size on the order of the Planck length. Consequences of this result are discussed and some of the ways in which it can be generalized are outlined.