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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.
Effective field theories have been widely used in nuclear physics. This volume is devoted to exploring the intricate structure of compact-star matter inaccessible directly from QCD. It is principally anchored on hidden symmetries and topology presumed to be encoded in QCD. It differs from standard effective field theory and energy density functional approaches in that it exploits renormalization-group flow in the complex 'vacuum' sliding with density inferred from topology change identified as a manifestation of baryon-quark continuity in dense matter. It makes a variety of predictions that drastically differ from the conventional treatments that could be tested by upcoming terrestrial and astrophysical experiments.This monograph recounts how to go, in one unique field theoretic formalism in terms of hadronic degrees of freedom, from finite nuclei to dense compact-star matter that could be explored in RIB-type machines in nuclear physics as well as in LIGO-type gravity waves in astrophysics.
This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.
Chiral Perturbation Theory, as effective field theory, is a commonly accepted and well established working tool, approximating quantum chromodynamics at energies well below typical hadron masses. This volume, based on a number of lectures and supplemented with additional material, provides a pedagogical introduction for graduate students and newcomers entering the field from related areas of nuclear and particle physics. Starting with the the Lagrangian of the strong interactions and general symmetry principles, the basic concepts of Chiral Perturbation Theory in the mesonic and baryonic sectors are developed. The application of these concepts is then illustrated with a number of examples. A large number of exercises (81, with complete solutions) are included to familiarize the reader with helpful calculational techniques.
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.
Dramatic progress has been made in all branches of physics since the National Research Council's 1986 decadal survey of the field. The Physics in a New Era series explores these advances and looks ahead to future goals. The series includes assessments of the major subfields and reports on several smaller subfields, and preparation has begun on an overview volume on the unity of physics, its relationships to other fields, and its contributions to national needs. Nuclear Physics is the latest volume of the series. The book describes current activity in understanding nuclear structure and symmetries, the behavior of matter at extreme densities, the role of nuclear physics in astrophysics and cosmology, and the instrumentation and facilities used by the field. It makes recommendations on the resources needed for experimental and theoretical advances in the coming decade.
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.
In one way or another, Gerry Brown has been concerned with questions about the universe, about its vast expanse as well as about its most miniscule fundamental constituents of matter throughout his entire life. In his endeavours to understand the universe in many manifestations from nuclei all the way to the stars, he has been influenced by some of the most prominent physicists of the 20th century, and he himself, in turn, has influenced a great many scholars. This volume, a collection of articles dedicated to Gerry on his 85th birthday, contains discussions of many of the issues which have attracted his interest over the years. The contributions are written by his former students, co-authors, colleagues and admirers and they are strongly influenced by Gerry''s own scientific tastes. With this compilation we want to express our respect, admiration and gratitude; we want to celebrate Gerry''s scientific and scholarly achievements, the inspirational quality of his teaching and the enthusiasm which he himself displayed in his research and which stimulated so many of his students and colleagues over the decades.
This book summarizes the recent progress in the physics and astrophysics of neutron stars and, most importantly, it identifies and develops effective strategies to explore, both theoretically and observationally, the many remaining open questions in the field. Because of its significance in the solution of many fundamental questions in nuclear physics, astrophysics and gravitational physics, the study of neutron stars has seen enormous progress over the last years and has been very successful in improving our understanding in these fascinating compact objects. The book addresses a wide spectrum of readers, from students to senior researchers. Thirteen chapters written by internationally renowned experts offer a thorough overview of the various facets of this interdisciplinary science, from neutron star formation in supernovae, pulsars, equations of state super dense matter, gravitational wave emission, to alternative theories of gravity. The book was initiated by the European Cooperation in Science and Technology (COST) Action MP1304 “Exploring fundamental physics with compact stars” (NewCompStar).