Casimir 能量、宇宙学常数与有质量引力子
广义相对论与量子宇宙学
2007-05-23 v1 天体物理学
高能物理 - 理论
摘要
Wheeler-De Witt 方程中出现的宇宙学常数被视为相应 Sturm-Liouville 问题的本征值。采用带有高斯试探波泛函的变分方法作为研究此类问题的方法。我们在 Schwarzschild 背景下将方程近似到单圈，并引入 zeta 函数正规化来处理发散。该正规化与弯曲背景中 Casimir 能量计算里出现的减除过程密切相关。引入一种重整化过程以消去无穷大，同时给出重整化群方程。文中讨论了有质量引力子的情况。
引用
@article{arxiv.gr-qc/0510062,
title = {Casimir energy, the cosmological constant and massive gravitons},
author = {Remo Garattini},
journal= {arXiv preprint arXiv:gr-qc/0510062},
year = {2007}
}
备注
19 pages. Uses pi2005.cls and pi2005.sty. Talk given at The 8-th International Conference "Path Integrals. From Quantum Information to Cosmology. Prague 6-10 June 2005. Extended version of the talk given at Talk given at "QFEXT'05", the 7-th workshop on quantum field theory under the influence of external conditions, Barcelona, Spain, Sept. 5-9, 2005 and at QG05 Constrained dynamics and quantum gravity 05, Cala Gonone (Sardinia, Italy), September 12-16, 2005