Nuclear Lattice Effective Field Theory
Nuclear Lattice Effective Field Theory
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核晶格有效场论
DOI：
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
U. Meissner
中科院分区：
文献类型：
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作者：
T. Lähde;U. Meissner
本书首先简要介绍了有效场论（EFT）的主要思想，并描述了如何通过引入手征EFT的欧几里德时空晶格从第一原理获得核力。随后，它通过解决晶格上的双核子问题和澄清如何确定手征EFT的低能常数的数值，发展了相关的技术方面。反过来，球壁方法的介绍和使用，以显示如何改进晶格行动呈现高阶修正微扰。这本书还介绍了在实际计算中使用的蒙特卡罗算法。在书的最后一部分，欧几里德时间投影方法被介绍并且用于计算原子核的基态性质直到中等质量区域。在这种情况下，适当的试验波函数的欧几里德时间投影的建设进行了讨论，以及用于确定的能量的低洼激发和它们的空间结构的方法。此外，所谓的绝热哈密顿量，它允许核反应进行精确计算，被引入使用的例子的α-α散射。最后，这本书展示了如何将核晶格EFT扩展到基本参数的非物理值的研究，使用三阿尔法过程作为一个具体的例子，对宇宙的人择观点产生影响。核晶格有效场论提供了一个简洁，自足，适合自学使用的研究生和新人的现代计算技术领域的原子核和核反应的介绍性文本。
This primer begins with a brief introduction to the main ideas underlying Effective Field Theory (EFT) and describes how nuclear forces are obtained from first principles by introducing a Euclidean space-time lattice for chiral EFT. It subsequently develops the related technical aspects by addressing the two-nucleon problem on the lattice and clarifying how it fixes the numerical values of the low-energy constants of chiral EFT. In turn, the spherical wall method is introduced and used to show how improved lattice actions render higher-order corrections perturbative. The book also presents Monte Carlo algorithms used in actual calculations. In the last part of the book, the Euclidean time projection method is introduced and used to compute the ground-state properties of nuclei up to the mid-mass region. In this context, the construction of appropriate trial wave functions for the Euclidean time projection is discussed, as well as methods for determining the energies of the low-lying excitations and their spatial structure. In addition, the so-called adiabatic Hamiltonian, which allows nuclear reactions to be precisely calculated, is introduced using the example of alpha-alpha scattering. In closing, the book demonstrates how Nuclear Lattice EFT can be extended to studies of unphysical values of the fundamental parameters, using the triple-alpha process as a concrete example with implications for the anthropic view of the Universe. Nuclear Lattice Effective Field Theory offers a concise, self-contained, and introductory text suitable for self-study use by graduate students and newcomers to the field of modern computational techniques for atomic nuclei and nuclear reactions.