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Author: Timo A. Lähde Publisher: Springer ISBN: 3030141896 Category : Science Languages : en Pages : 400
Book Description
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.
Author: Timo A. Lähde Publisher: Springer ISBN: 3030141896 Category : Science Languages : en Pages : 400
Book Description
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.
Author: C. P. Burgess Publisher: Cambridge University Press ISBN: 0521195470 Category : Science Languages : en Pages : 665
Book Description
This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.
Author: Achim Schwenk Publisher: Springer ISBN: 3642273203 Category : Science Languages : en Pages : 356
Book Description
There have been many recent and important developments based on effective field theory and the renormalization group in atomic, condensed matter, nuclear and high-energy physics. These powerful and versatile methods provide novel approaches to study complex and strongly interacting many-body systems in a controlled manner. The six extensive lectures gathered in this volume combine selected introductory and interdisciplinary presentations focused on recent applications of effective field theory and the renormalization group to many-body problems in such diverse fields as BEC, DFT, extreme matter, Fermi-liquid theory and gauge theories. Primarily aimed at graduate students and junior researchers, they offer an opportunity to explore fundamental physics across subfield boundaries at an early stage in their careers.
Author: Morten Hjorth-Jensen Publisher: Springer ISBN: 3319533363 Category : Science Languages : en Pages : 654
Book Description
This graduate-level text collects and synthesizes a series of ten lectures on the nuclear quantum many-body problem. Starting from our current understanding of the underlying forces, it presents recent advances within the field of lattice quantum chromodynamics before going on to discuss effective field theories, central many-body methods like Monte Carlo methods, coupled cluster theories, the similarity renormalization group approach, Green’s function methods and large-scale diagonalization approaches. Algorithmic and computational advances show particular promise for breakthroughs in predictive power, including proper error estimates, a better understanding of the underlying effective degrees of freedom and of the respective forces at play. Enabled by recent improvements in theoretical, experimental and numerical techniques, the state-of-the art applications considered in this volume span the entire range, from our smallest components – quarks and gluons as the mediators of the strong force – to the computation of the equation of state for neutron star matter. The lectures presented provide an in-depth exposition of the underlying theoretical and algorithmic approaches as well details of the numerical implementation of the methods discussed. Several also include links to numerical software and benchmark calculations, which readers can use to develop their own programs for tackling challenging nuclear many-body problems.
Author: Ubirajara Van Kolck Publisher: World Scientific ISBN: 9814544493 Category : Languages : en Pages : 286
Book Description
Effective field theory (EFT), a technique used extensively in particle physics, provides a framework for systematically describing nuclear systems in a way consistent with quantum chromodynamics, the underlying theory of strong interactions. Because it offers the possibility of a unified description of all low-energy processes involving nucleons, it has the potential to become the foundation of conventional nuclear physics.Since the early 1990's when Weinberg applied the techniques of EFT to multiple-nucleon systems, significant developments have been made. However, serious obstacles have also been encountered. This book contains the proceedings of the Workshop on Nuclear Physics with Effective Field Theory, held in the Kellogg Radiation Laboratory at Caltech on the 26th and 27th of February 1998, which specifically addressed those issues. Physicists from different areas of sub-atomic physics gathered in an attempt to arrive at a consistent power counting scheme for the nucleon-nucleon interaction, a first step toward dealing with few-nucleon systems and ultimately nuclear matter and finite nuclei.
Author: Alexandre Obertelli Publisher: Springer Nature ISBN: 9811622892 Category : Science Languages : en Pages : 739
Book Description
This textbook is a unique and ambitious primer of nuclear physics, which introduces recent theoretical and experimental progresses starting from basics in fundamental quantum mechanics. The highlight is to offer an overview of nuclear structure phenomena relevant to recent key findings such as unstable halo nuclei, superheavy elements, neutron stars, nucleosynthesis, the standard model, lattice quantum chromodynamics (LQCD), and chiral effective theory. An additional attraction is that general properties of nuclei are comprehensively explained from both the theoretical and experimental viewpoints. The book begins with the conceptual and mathematical basics of quantum mechanics, and goes into the main point of nuclear physics – nuclear structure, radioactive ion beam physics, and nuclear reactions. The last chapters devote interdisciplinary topics in association with astrophysics and particle physics. A number of illustrations and exercises with complete solutions are given. Each chapter is comprehensively written starting from fundamentals to gradually reach modern aspects of nuclear physics with the objective to provide an effective description of the cutting edge in the field.
Author: T. William Donnelly Publisher: Cambridge University Press ISBN: 1108107451 Category : Science Languages : en Pages : 661
Book Description
This textbook brings together nuclear and particle physics, presenting a balanced overview of both fields as well as the interplay between the two. The theoretical as well as the experimental foundations are covered, providing students with a deep understanding of the subject. In-chapter exercises ranging from basic experimental to sophisticated theoretical questions provide an important tool for students to solidify their knowledge. Suitable for upper undergraduate courses in nuclear and particle physics as well as more advanced courses, the book includes road maps guiding instructors on tailoring the content to their course. Online resources including color figures, tables, and a solutions manual complete the teaching package. This textbook will be essential for students preparing for further study or a career in the field who require a solid grasp of both nuclear and particle physics.
Author: Paulo F Bedaque Publisher: World Scientific ISBN: 9814543144 Category : Languages : en Pages : 386
Book Description
The method of effective field theory (EFT) is ideally suited to deal with physical systems containing separate energy scales. Applied to low energy hadronic phenomena it provides a framework for systematically describing nuclear systems in a way consistent with quantum chromodynamics, the underlying theory of strong interactions. Because EFT offers the possibility of a unified description of all low energy processes involving nucleons, it has the potential to become the foundation of conventional nuclear physics.Much progress has been made recently in this field: a number of observables in the two-nucleon sector were computed and compared to experiment, issues related to the extension of the EFT program to the three-nucleon sector were clarified, and the convergence of the low energy expansion was critically examined. This book contains the proceedings of the Workshop on 'Nuclear Physics with Effective Field Theory II', where these and other developments were discussed.
Author: Timo A. Lähde
Author: Timo A. Lähde
Author: C. P. Burgess
Author: Ulf-G Meißner
Author: Achim Schwenk
Author: Morten Hjorth-Jensen
Author: Ubirajara Van Kolck
Author: Alexandre Obertelli
Author: T. William Donnelly
Author: Joseph I. Kapusta
Author: Paulo F Bedaque