تقرير
A Hierarchical Finite Element Method for Quantum Field Theory
| العنوان: | A Hierarchical Finite Element Method for Quantum Field Theory |
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| المؤلفون: | Kar, Arnab, Moolekamp, Fred, Rajeev, S. G. |
| المصدر: | Mod. Phys. Lett. A, 28, 1350139 (2013) |
| سنة النشر: | 2013 |
| المجموعة: | Mathematics High Energy Physics - Lattice High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, High Energy Physics - Lattice, High Energy Physics - Theory |
| الوصف: | We study a model of scalar quantum field theory in which space-time is a discrete set of points obtained by repeatedly subdividing a triangle into three triangles at the centroid. By integrating out the field variable at the centroid we get a renormalized action on the original triangle. The exact renormalization map between the angles of the triangles is obtained as well. A fixed point of this map happens to be the cotangent formula of Finite Element Method which approximates the Laplacian in two dimensions. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1142/S0217732313501393 |
| URL الوصول: | http://arxiv.org/abs/1305.3322 |
| رقم الأكسشن: | edsarx.1305.3322 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1142/S0217732313501393 |
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