The Conformal Factor and the Cosmological Constant

The Conformal Factor and the Cosmological Constant
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共形因子和宇宙常数

DOI:
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发表时间:
1990
期刊:
影响因子:
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通讯作者:
S. Giddings
S. Giddings
中科院分区:
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文献类型:
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作者:
S. Giddings

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在洛伦兹特征时空中研究了量子引力中的共形因子问题。在欧几里得签名中,共形作用量的“错误”符号使得路径积分没有定义,但在洛伦兹签名中,这个符号与重力不稳定性有关,一旦考虑到这一点,路径积分就应该定义得很好。在这种方法中,Baum-Hawking-Coleman机制对宇宙常数的抑制作用并不明显。可以想象,由于多宇宙系统对正的宇宙常数表现出不稳定性,动力学应该迫使系统的宇宙常数为零。
The issue of the conformal factor in quantum gravity is examined for Lorentzian signature spacetimes. In Euclidean signature, the “wrong” sign of the conformal action makes the path integral undefined, but in Lorentzian signature this sign is tied to the instability of gravity and once this is accounted for the path integral should be well-defined. In this approach it is not obvious that the Baum-Hawking-Coleman mechanism for suppression of the cosmological constant functions. It is conceivable that since the multiuniverse system exhibits an instability for positive cosmological constant, the dynamics should force the system to zero cosmological constant.