تقرير
Analyticity and the Unruh effect: a study of local modular flow
| العنوان: | Analyticity and the Unruh effect: a study of local modular flow |
|---|---|
| المؤلفون: | Sorce, Jonathan |
| سنة النشر: | 2024 |
| المجموعة: | General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, General Relativity and Quantum Cosmology, Quantum Physics |
| الوصف: | The Unruh effect can be formulated as the statement that the Minkowski vacuum in a Rindler wedge has a boost as its modular flow. In recent years, other examples of states with geometrically local modular flow have played important roles in understanding energy and entropy in quantum field theory and quantum gravity. Here I initiate a general study of the settings in which geometric modular flow can arise, showing (i) that any geometric modular flow must be a conformal symmetry of the background spacetime, and (ii) that in a well behaved class of "weakly analytic" states, geometric modular flow must be future-directed. I further argue that if a geometric transformation is conformal but not isometric, then it can only be realized as modular flow in a conformal field theory. Finally, I discuss a few settings in which converse results can be shown -- i.e., settings in which a state can be constructed whose modular flow reproduces a given vector field. Comment: 33 pages + appendices; 14 figures; v2 adds a reference |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.18937 |
| رقم الأكسشن: | edsarx.2403.18937 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |