تقرير
Tensor Networks for Lattice Gauge Theories beyond one dimension: a Roadmap
| العنوان: | Tensor Networks for Lattice Gauge Theories beyond one dimension: a Roadmap |
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| المؤلفون: | Magnifico, Giuseppe, Cataldi, Giovanni, Rigobello, Marco, Majcen, Peter, Jaschke, Daniel, Silvi, Pietro, Montangero, Simone |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter High Energy Physics - Lattice High Energy Physics - Theory Physics (Other) Quantum Physics |
| مصطلحات موضوعية: | High Energy Physics - Lattice, Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory, Physics - Computational Physics, Quantum Physics |
| الوصف: | Tensor network methods are a class of numerical tools and algorithms to study many-body quantum systems in and out of equilibrium, based on tailored variational wave functions. They have found significant applications in simulating lattice gauge theories approaching relevant problems in high-energy physics. Compared to Monte Carlo methods, they do not suffer from the sign problem, allowing them to explore challenging regimes such as finite chemical potentials and real-time dynamics. Further development is required to tackle fundamental challenges, such as accessing continuum limits or computations of large-scale quantum chromodynamics. In this work, we review the state-of-the-art of Tensor Network methods and discuss a possible roadmap for algorithmic development and strategies to enhance their capabilities and extend their applicability to open high-energy problems. We provide tailored estimates of the theoretical and computational resource scaling for attacking large-scale lattice gauge theories. Comment: 14 pages, 6 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.03058 |
| رقم الأكسشن: | edsarx.2407.03058 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |