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Title
Nuclear lattice effective field theory : an introduction / Timo A. Lähde, Ulf-G. Meißner.
ISBN
9783030141899 (electronic book)
3030141896 (electronic book)
9783030141875
Published
Cham, Switzerland : Springer, 2019.
Language
English
Description
1 online resource (xi, 396 pages) : illustrations.
Item Number
10.1007/978-3-030-14189-9 doi
10.1007/978-3-030-14
Call Number
QC793.3.F5
Dewey Decimal Classification
530.14
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed May 17, 2019).
Series
Lecture notes in physics ; 957.
Introduction to Effective Field Theory
Nuclear Forces in Chiral EFT
Lattice Formulations
Lattice Chiral Effective Field Theory
Two and Three Nucleons on the Lattice
Lattice Monte Carlo
LIght and Medium-Mass Nuclei on the Lattice
Further Developments
Notations and Conventions
Basics of the Nucleon-Nucleon Interaction
Study of Rotational Symmetry Breaking Effects in an A Cluster Model
Monte Carlo Sampling
Hybrid Monte Carlo Action and Force
Monte Carlo Calculation of Observables.
