تقرير
The Yang-Mills heat flow with random distributional initial data
| العنوان: | The Yang-Mills heat flow with random distributional initial data |
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| المؤلفون: | Cao, Sky, Chatterjee, Sourav |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Probability, High Energy Physics - Theory, Mathematical Physics, Mathematics - Analysis of PDEs, 35R60, 35A01, 60G60, 81T13 |
| الوصف: | We construct local solutions to the Yang-Mills heat flow (in the DeTurck gauge) for a certain class of random distributional initial data, which includes the 3D Gaussian free field. The main idea, which goes back to work of Bourgain as well as work of Da Prato-Debussche, is to decompose the solution into a rougher linear part and a smoother nonlinear part, and to control the latter by probabilistic arguments. In a companion work, we use the main results of this paper to propose a way towards the construction of 3D Yang-Mills measures. Comment: 79 pages. Minor changes in this revision |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2111.10652 |
| رقم الأكسشن: | edsarx.2111.10652 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |