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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.
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.
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.
A detailed and comprehensive exploration of the foundations and fundamentals of effective field theories.
This book contains the proceedings of the Workshop on Nonperturbative Methods in Quantum Field Theory, held in Adelaide, Australia, in February 1998. Lattice gauge theory and calculations based on the use of Schwinger-Dyson equations feature prominently, with further contributions in the areas of variational and functional techniques, strong interaction phenomenology and chiral perturbation theory. QCD in the infrared regime as well as QCD at finite temperatures and densities is the subject matter of a number of papers, while other authors explore chiral symmetry breaking in QCD as well as in other field theories.
Few-body physics covers a rich and wide variety of phenomena, ranging from the very lowest energy scales of atomic and molecular physics to high-energy particle physics. The papers contained in the present volume provide an apercu of recent progress in the field from both the theoretical and experimental perspectives and are based on work presented at the “22nd International Conference on Few-Body Problems in Physics”. This book is geared towards academics and graduate students involved in the study of systems which present few-body characteristics and those interested in the related mathematical and computational techniques.