|
|||||
|
|
Spontaneous compactification in quantum Kaluza-Klein theories |
|
| Affiliation: | 1. Department of Chemical Engineering, Faculty of Engineering, Shahid Bahonar University of Kerman, Kerman, Iran;2. Department of Chemical Engineering, Graduate University of Advanced Technology, Kerman, Iran;3. Environmental Hydrogeology, Department of Earth Sciences, Utrecht University, Utrecht, the Netherlands;1. Department of Radiation Oncology, University of California San Francisco, San Francisco, CA;2. John Muir Medical Center, Walnut Creek, CA |
| Abstract: | We study the one-loop effective action for pure gravity in higher odd-dimensional spaces with a cosmological constant. We develop a method for computing the effective action for backgrounds which are a product of 4-dimensional space-time and an odd-dimensional sphere SN. For N = 1 in harmonic gauge the potential has an unstable stationary point at which the one-loop corrected Newton constant has a wrong sign. For N > 1 in harmonic gauge there is an imaginary contribution to the effective potential from the Faddeev-Popov ghost. The results for spheres up to N = 17 are presented. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |