تقرير
The Operator Product Expansion for Radial Lattice Quantization of 3D $\phi^4$ Theory
| العنوان: | The Operator Product Expansion for Radial Lattice Quantization of 3D $\phi^4$ Theory |
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| المؤلفون: | Ayyar, Venkitesh, Brower, Richard C., Fleming, George T., Glück, Anna-Maria E., Owen, Evan K., Raben, Timothy G., Tan, Chung-I |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter High Energy Physics - Lattice High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Lattice, Condensed Matter - Statistical Mechanics, High Energy Physics - Theory |
| الوصف: | At its critical point, the three-dimensional lattice Ising model is described by a conformal field theory (CFT), the 3d Ising CFT. Instead of carrying out simulations on Euclidean lattices, we use the Quantum Finite Elements method to implement radially quantized critical $\phi^4$ theory on simplicial lattices approaching $\mathbb{R} \times S^2$. Computing the four-point function of identical scalars, we demonstrate the power of radial quantization by the accurate determination of the scaling dimensions $\Delta_{\epsilon}$ and $\Delta_{T}$ as well as ratios of the operator product expansion (OPE) coefficients $f_{\sigma \sigma \epsilon}$ and $f_{\sigma \sigma T}$ of the first spin-0 and spin-2 primary operators $\epsilon$ and $T$ of the 3d Ising CFT. Comment: 16 pages, 10 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.01100 |
| رقم الأكسشن: | edsarx.2311.01100 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |