计算三维热子的负本征值
Counting the negative eigenvalues of the thermalon in three dimensions
摘要：
几年前，有人指出，宇宙学常数可能会因薄膜的热产生而减小，薄膜在成核后坍缩成黑洞。这个过程的概率是通过研究一种称为热子的相关欧几里得构型，在领先的半经典近似下计算出来的。在这里，我们研究在三个时空维度的热子，描述成核的封闭弦坍缩成点粒子奇点。在这种情况下，我们可以分析单回路结构，而不存在由传播的引力自由度带来的众所周知的问题。我们发现，耦合到重力可能会增加负本征值的运营商的数量。
英文摘要：
Some years ago it was shown that the cosmological constant may be reduced by thermal production of membranes that, after nucleation, collapse into a black hole. The probability of the process was calculated in the leading semiclassical approximation by studying an associated Euclidean configuration called the thermalon. Here we investigate the thermalon in three spacetime dimensions, describing the nucleation of closed strings that collapse into point particle singularities. In this context we may analyze the one-loop structure without the well known problems brought in by the propagating gravitational degrees of freedom. We found that the coupling to gravity may increase the number of negative eigenvalues of the operator.
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