Nuclear Physics With Effective Field Theory Ii
Nuclear Physics With Effective Field Theory Ii

Author: Paulo F Bedaque

Publisher: World Scientific

Published: 1999-11-15

Total Pages: 386

ISBN-13: 9814543144

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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.

Nuclear Lattice Effective Field Theory
Nuclear Lattice Effective Field Theory

Author: Timo A. Lähde

Publisher: Springer

Published: 2019-05-07

Total Pages: 400

ISBN-13: 3030141896

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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.

Introduction to Effective Field Theory
Introduction to Effective Field Theory

Author: C. P. Burgess

Publisher: Cambridge University Press

Published: 2020-12-10

Total Pages: 665

ISBN-13: 0521195470

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This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.

Effective Field Theories
Effective Field Theories

Author: Ulf-G Meißner

Publisher: Cambridge University Press

Published: 2022-08-25

Total Pages: 625

ISBN-13: 1108476988

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A detailed and comprehensive exploration of the foundations and fundamentals of effective field theories.

An Advanced Course in Computational Nuclear Physics
An Advanced Course in Computational Nuclear Physics

Author: Morten Hjorth-Jensen

Publisher: Springer

Published: 2017-05-09

Total Pages: 654

ISBN-13: 3319533363

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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.

Quantum Field Theory II
Quantum Field Theory II

Author: Edouard B. Manoukian

Publisher: Springer

Published: 2016-09-26

Total Pages: 374

ISBN-13: 3319338528

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This book takes a pedagogical approach to explaining quantum gravity, supersymmetry and string theory in a coherent way. It is aimed at graduate students and researchers in quantum field theory and high-energy physics. The first part of the book introduces quantum gravity, without requiring previous knowledge of general relativity (GR). The necessary geometrical aspects are derived afresh leading to explicit general Lagrangians for gravity, including that of general relativity. The quantum aspect of gravitation, as described by the graviton, is introduced and perturbative quantum GR is discussed. The Schwinger-DeWitt formalism is developed to compute the one-loop contribution to the theory and renormalizability aspects of the perturbative theory are also discussed. This follows by introducing only the very basics of a non-perturbative, background-independent, formulation of quantum gravity, referred to as “loop quantum gravity”, which gives rise to a quantization of space. In the second part the author introduces supersymmetry and its consequences. The generation of superfields is represented in detail. Supersymmetric generalizations of Maxwell’s Theory as well as of Yang-Mills field theory, and of the standard model are worked out. Spontaneous symmetry breaking, improvement of the divergence problem in supersymmetric field theory, and its role in the hierarchy problem are covered. The unification of the fundamental constants in a supersymmetric version of the standard model are then studied. Geometrical aspects necessary to study supergravity are developed culminating in the derivation of its full action. The third part introduces string theory and the analysis of the spectra of the mass (squared) operator associated with the oscillating strings. The properties of the underlying fields, associated with massless particles, encountered in string theory are studied in some detail. Elements of compactification, duality and D-branes are given, as well of the generation of vertices and interactions of strings. In the final sections, the author shows how to recover GR and the Yang-Mills field Theory from string theory.

Renormalization Group and Effective Field Theory Approaches to Many-Body Systems
Renormalization Group and Effective Field Theory Approaches to Many-Body Systems

Author: Achim Schwenk

Publisher: Springer

Published: 2012-06-25

Total Pages: 356

ISBN-13: 3642273203

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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.

Effective Field Theory in Particle Physics and Cosmology
Effective Field Theory in Particle Physics and Cosmology

Author: Sacha Davidson

Publisher:

Published: 2020

Total Pages: 806

ISBN-13: 0198855745

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The topic of the CVIII session of Les Houches School, held in July 2017, was Effective Field Theory (EFT). The goal of this school was to offer a broad introduction to the foundations and modern applications of Effective Field Theory in many of its incarnations.