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Author : C. P. Burgess
Publisher : Cambridge University Press
Page : 665 pages
File Size : 49,5 Mb
Release : 2020-12-10
Category : Science
ISBN : 9780521195478
This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.
Author : C. P. Burgess
Publisher : Cambridge University Press
Page : 665 pages
File Size : 54,6 Mb
Release : 2020-12-10
Category : Science
ISBN : 9781108915892
Using examples from across the sub-disciplines of physics, this introduction shows why effective field theories are the language in which physical laws are written. The tools of effective field theory are demonstrated using worked examples from areas including particle, nuclear, atomic, condensed matter and gravitational physics. To bring the subject within reach of scientists with a wide variety of backgrounds and interests, there are clear physical explanations, rigorous derivations, and extensive appendices on background material, such as quantum field theory. Starting from undergraduate-level quantum mechanics, the book gets to state-of-the-art calculations using both relativistic and nonrelativistic few-body and many-body examples, and numerous end-of-chapter problems derive classic results not covered in the main text. Graduate students and researchers in particle physics, condensed matter physics, nuclear physics, string theory, and mathematical physics more generally, will find this book ideal for both self-study and for organized courses on effective field theory.
Author : Cliff Peter Burgess
Publisher : Unknown
Page : 128 pages
File Size : 42,7 Mb
Release : 2021
Category : Field theory (Physics)
ISBN : 113904804X
Author : Timo A. Lähde,Ulf-G. Meißner
Publisher : Springer
Page : 396 pages
File Size : 46,5 Mb
Release : 2019-05-07
Category : Science
ISBN : 9783030141899
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 : Kevin Costello
Publisher : American Mathematical Soc.
Page : 264 pages
File Size : 44,8 Mb
Release : 2011
Category : Quantum field theory
ISBN : 9780821852880
Quantum field theory has had a profound influence on mathematics, and on geometry in particular. However, the notorious difficulties of renormalization have made quantum field theory very inaccessible for mathematicians. This provides complete mathematical foundations for the theory of perturbative quantum field theory, based on Wilson's ideas of low-energy effective field theory and on the Batalin-Vilkovisky formalism.
Author : Matthew D. Schwartz
Publisher : Cambridge University Press
Page : 869 pages
File Size : 40,9 Mb
Release : 2014
Category : Science
ISBN : 9781107034730
A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.
Author : Thomas Becher,Alessandro Broggio,Andrea Ferroglia
Publisher : Springer
Page : 206 pages
File Size : 44,7 Mb
Release : 2015-03-04
Category : Science
ISBN : 9783319148489
Among resummation techniques for perturbative QCD in the context of collider and flavor physics, soft-collinear effective theory (SCET) has emerged as both a powerful and versatile tool, having been applied to a large variety of processes, from B-meson decays to jet production at the LHC. This book provides a concise, pedagogical introduction to this technique. It discusses the expansion of Feynman diagrams around the high-energy limit, followed by the explicit construction of the effective Lagrangian - first for a scalar theory, then for QCD. The underlying concepts are illustrated with the quark vector form factor at large momentum transfer, and the formalism is applied to compute soft-gluon resummation and to perform transverse-momentum resummation for the Drell-Yan process utilizing renormalization group evolution in SCET. Finally, the infrared structure of n-point gauge-theory amplitudes is analyzed by relating them to effective-theory operators. This text is suitable for graduate students and non-specialist researchers alike as it requires only basic knowledge of perturbative QCD.
Author : Thomas Mannel
Publisher : Springer Science & Business Media
Page : 192 pages
File Size : 51,8 Mb
Release : 2004-11-26
Category : Science
ISBN : 3540219315
The book constitutes a compact review of the applications of effective field theory methods in flavour physics, with emphasis on heavy quark physics. Some of the relevant applications are discussed to illustrate the method. It covers the full range of theoretical tools related to the application of the effective field theory idea: Starting from the weak interactions as an effective theory derived from the standard model, well-established methods such as heavy quark effective theory, the heavy quark mass expansion and chiral perturbation theory are addressed. Also more recent ideas such as QCD factorization and soft collinear effective theory are outlined. Finally the standard model itself is viewed as an effective theory, allowing a model-independent look at the results of the new physics. The book should be useful for the advanced graduate student as well as for scientists who are interested in the theoretical toolkit used in the context of flavour physics. It is not meant as a complete review of the subject, rather it should be useful as an introduction to the basic ideas.
Author : Alexey A. Petrov,Andrew E. Blechman
Publisher : World Scientific
Page : 318 pages
File Size : 41,5 Mb
Release : 2015-11-18
Category : Science
ISBN : 9789814434935
This book is a broad-based text intended to help the growing student body interested in constructing and applying methods of effective field theory to solve problems in their research. It begins with a review of using symmetries to identify the relevant degrees of freedom in a problem, and then presents a variety of methods that can be used to construct various effective theories. A detailed discussion of canonical applications of effective field theory techniques with increasing complexity is given, including Fermi's weak interaction, heavy-quark effective theory, and soft-collinear effective theory. Applications of these techniques to study physics beyond the standard model, dark matter, and quantum and classical gravity are explored. Although most examples come from questions in high-energy physics, many of the methods can also be applied in condensed-matter settings. Appendices include various factoids from group theory and other topics that are used throughout the text, in an attempt to make the book self-contained.
Author : Cliff Burgess,Guy Moore
Publisher : Cambridge University Press
Page : 566 pages
File Size : 50,7 Mb
Release : 2007
Category : Science
ISBN : 0521860369
This 2006 book uses the standard model as a vehicle for introducing quantum field theory.
Author : Karen Crowther
Publisher : Springer
Page : 205 pages
File Size : 54,7 Mb
Release : 2016-07-07
Category : Science
ISBN : 9783319395081
This book discusses the notion that quantum gravity may represent the "breakdown" of spacetime at extremely high energy scales. If spacetime does not exist at the fundamental level, then it has to be considered "emergent", in other words an effective structure, valid at low energy scales. The author develops a conception of emergence appropriate to effective theories in physics, and shows how it applies (or could apply) in various approaches to quantum gravity, including condensed matter approaches, discrete approaches, and loop quantum gravity.
Author : Achim Schwenk,Janos Polonyi
Publisher : Springer
Page : 348 pages
File Size : 52,5 Mb
Release : 2012-06-25
Category : Science
ISBN : 9783642273209
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 : Michael E. Peskin
Publisher : CRC Press
Page : 866 pages
File Size : 52,5 Mb
Release : 2018-05-04
Category : Science
ISBN : 9780429983184
An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.
Author : John Donoghue,Lorenzo Sorbo
Publisher : Princeton University Press
Page : 160 pages
File Size : 45,8 Mb
Release : 2022-03-08
Category : Science
ISBN : 9780691223483
"A Prelude to Quantum Field Theory offers a short introduction to quantum field theory (QFT), a powerful framework for understanding particle behavior that is an essential tool across many subfields of physics. A subject that is typically taught at the graduate level in most physics departments, quantum field theory is a unification of standard quantum theories and special relativity, which depicts all particles as "excitations" that arise in underlying fields. It extends quantum mechanics, the modern theory of one or few particles, in a way that is useful for the analysis of many-particle systems in the real world. As it requires a different style of thinking from quantum mechanics, which is typically the undergraduate physics student's first encounter with the quantum world, many beginners struggle with the transition to quantum field theory, especially when working with traditional textbooks. Existing books on the subject often tend to be large, sophisticated, and complete; and an overwhelming wealth of information and technical detail makes it difficult for the novice to discern what is most important. This book is a concise, friendly entrée for QFT-beginners, guiding the reader from the style of quantum mechanical thinking to that of QFT, and distilling the key ideas without a welter of unnecessary detail. In contrast with standard texts, which are predominantly particle physics-centric, this book is designed to be "subfield-neutral" - usable by students of any background and interest, and easily adaptable in a course setting according to instructors' preferences. The authors' conviction is that QFT is a core element of physics that should be understood by all PhD physicists-but that developing an appreciation for it does not require digesting a large, encyclopedic volume"--
Author : Ulf-G Meißner,Akaki Rusetsky
Publisher : Cambridge University Press
Page : 625 pages
File Size : 45,8 Mb
Release : 2022-08-25
Category : Science
ISBN : 9781108476980
A detailed and comprehensive exploration of the foundations and fundamentals of effective field theories.