دورية أكاديمية
Stochastic quantization and holographic Wilsonian renormalization group of conformally coupled scalar in AdS$_{4}$
| العنوان: | Stochastic quantization and holographic Wilsonian renormalization group of conformally coupled scalar in AdS$_{4}$ |
|---|---|
| المؤلفون: | Lee, Jun Hyeok, Oh, Jae-Hyuk |
| سنة النشر: | 2023 |
| المجموعة: | ArXiv.org (Cornell University Library) |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | In this paper, we explore the relationship between holographic Wilsonian renormalization groups and stochastic quantization in conformally coupled scalar theory in AdS$_{4}$. The relationship between these two different frameworks is firstly proposed in arXiv:1209.2242 and tested in various free theories. However, research on the theory with interactions has recently begun. In this paper, we show that the stochastic four-point function obtained by the Langevin equation is completely captured by the holographic quadruple trace deformation when the Euclidean action $S_{E}$ is given by $S_{E}=-2I_{os}$ where $I_{os}$ is the holographic on-shell action in the conformally coupled scalar theory in AdS$_{4},$ together with a condition that the stochastic fictitious time $t$ is also identified with AdS radial variable $r$. We extensively explore a case that the boundary condition on the conformal boundary is Dirichlet boundary condition, and in that case, the stochastic three-point function trivially vanishes. This agrees with that the holographic triple trace deformation vanishes when Dirichlet boundary condition is applied on the conformal boundary. ; Comment: 17+1 pages |
| نوع الوثيقة: | text |
| اللغة: | unknown |
| العلاقة: | http://arxiv.org/abs/2308.10010Test |
| DOI: | 10.1007/s40042-023-00926-3 |
| الإتاحة: | https://doi.org/10.1007/s40042-023-00926-3Test http://arxiv.org/abs/2308.10010Test |
| رقم الانضمام: | edsbas.F95D67A9 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1007/s40042-023-00926-3 |
|---|