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Author : C. P. Burgess
Publisher : Cambridge University Press
Page : 665 pages
File Size : 51,9 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 : Ulf-G Meißner,Akaki Rusetsky
Publisher : Cambridge University Press
Page : 625 pages
File Size : 47,5 Mb
Release : 2022-08-25
Category : Science
ISBN : 9781108476980
A detailed and comprehensive exploration of the foundations and fundamentals of effective field theories.
Author : Thomas Mannel
Publisher : Springer Science & Business Media
Page : 192 pages
File Size : 55,6 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 : 43,7 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 : Kevin Costello
Publisher : American Mathematical Soc.
Page : 264 pages
File Size : 49,6 Mb
Release : 2011
Category : Mathematics
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 : James D. Wells
Publisher : Springer Science & Business Media
Page : 84 pages
File Size : 53,6 Mb
Release : 2012-12-14
Category : Science
ISBN : 9783642348921
This open access book... There is significant interest in the Philosophy of Science community to understand the role that "effective theories" have in the work of forefront science. The ideas of effective theories have been implicit in science for a long time, but have only been articulated well in the last few decades. Since Wilson's renormalization group revolution in the early 1970's, the science community has come to more fully understand its power, and by the mid-1990's it had gained its apotheosis. It is still one of the most powerful concepts in science, which has direct impact in how one thinks about and formulates theories of nature. It is this power that this Brief sets out to emphasize through historical analysis and current examples. This is an open access book.
Author : Timo A. Lähde,Ulf-G. Meißner
Publisher : Springer
Page : 396 pages
File Size : 45,9 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 : Achim Schwenk,Janos Polonyi
Publisher : Springer
Page : 348 pages
File Size : 53,7 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 : Matthew D. Schwartz
Publisher : Cambridge University Press
Page : 869 pages
File Size : 43,5 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 : Antal Jakovác,András Patkós
Publisher : Springer
Page : 223 pages
File Size : 48,8 Mb
Release : 2015-11-02
Category : Science
ISBN : 9783319226200
Effective models of strong and electroweak interactions are extensively applied in particle physics phenomenology, and in many instances can compete with large-scale numerical simulations of Standard Model physics. These contexts include but are not limited to providing indications for phase transitions and the nature of elementary excitations of strong and electroweak matter. A precondition for obtaining high-precision predictions is the application of some advanced functional techniques to the effective models, where the sensitivity of the results to the accurate choice of the input parameters is under control and the insensitivity to the actual choice of ultraviolet regulators is ensured. The credibility of such attempts ultimately requires a clean renormalization procedure and an error estimation due to a necessary truncation in the resummation procedure. In this concise primer we discuss systematically and in sufficient technical depth the features of a number of approximate methods, as applied to various effective models of chiral symmetry breaking in strong interactions and the BEH-mechanism of symmetry breaking in the electroweak theory. After introducing the basics of the functional integral formulation of quantum field theories and the derivation of different variants of the equations which determine the n-point functions, the text elaborates on the formulation of the optimized perturbation theory and the large-N expansion, as applied to the solution of these underlying equations in vacuum. The optimisation aspects of the 2PI approximation is discussed. Each of them is presented as a specific reorganisation of the weak coupling perturbation theory. The dimensional reduction of high temperature field theories is discussed from the same viewpoint. The renormalization program is described for each approach in detail and particular attention is paid to the appropriate interpretation of the notion of renormalization in the presence of the Landau singularity. Finally, results which emerge from the application of these techniques to the thermodynamics of strong and electroweak interactions are reviewed in detail.
Author : John Donoghue,Lorenzo Sorbo
Publisher : Princeton University Press
Page : 160 pages
File Size : 47,6 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 : A. Cemal Eringen
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 48,5 Mb
Release : 2007-06-14
Category : Science
ISBN : 9780387226439
Nonlocal continuum field theories are concerned with material bodies whose behavior at any interior point depends on the state of all other points in the body -- rather than only on an effective field resulting from these points -- in addition to its own state and the state of some calculable external field. Nonlocal field theory extends classical field theory by describing the responses of points within the medium by functionals rather than functions (the "constitutive relations" of classical field theory). Such considerations are already well known in solid-state physics, where the nonlocal interactions between the atoms are prevalent in determining the properties of the material. The tools developed for crystalline materials, however, do not lend themselves to analyzing amorphous materials, or materials in which imperfections are a major part of the structure. Nonlocal continuum theories, by contrast, can describe these materials faithfully at scales down to the lattice parameter. This book presents a unified approach to field theories for elastic solids, viscous fluids, and heat-conducting electromagnetic solids and fluids that include nonlocal effects in both space and time (memory effects). The solutions to the field equations agree remarkably well with atomic theories and experimental observations.
Author : Mikko Laine,Aleksi Vuorinen
Publisher : Springer
Page : 288 pages
File Size : 48,8 Mb
Release : 2016-06-09
Category : Science
ISBN : 9783319319339
This book presents thermal field theory techniques, which can be applied in both cosmology and the theoretical description of the QCD plasma generated in heavy-ion collision experiments. It focuses on gauge interactions (whether weak or strong), which are essential in both contexts. As well as the many differences in the physics questions posed and in the microscopic forces playing a central role, the authors also explain the similarities and the techniques, such as the resummations, that are needed for developing a formally consistent perturbative expansion. The formalism is developed step by step, starting from quantum mechanics; introducing scalar, fermionic and gauge fields; describing the issues of infrared divergences; resummations and effective field theories; and incorporating systems with finite chemical potentials. With this machinery in place, the important class of real-time (dynamic) observables is treated in some detail. This is followed by an overview of a number of applications, ranging from the study of phase transitions and particle production rate computations, to the concept of transport and damping coefficients that play a ubiquitous role in current developments. The book serves as a self-contained textbook on relativistic thermal field theory for undergraduate and graduate students of theoretical high-energy physics.
Author : Sacha Davidson,Paolo Gambino,Mikko Laine,Matthias Neubert,Christophe Salomon
Publisher : Oxford University Press
Page : 400 pages
File Size : 43,6 Mb
Release : 2020-04-20
Category : Science
ISBN : 9780192597762
The topic of the CVIII session of the Ecole de Physique des Houches, held in July 2017, was Effective Field Theory in Particle Physics and Cosmology. Effective Field Theory (EFT) is a general method for describing quantum systems with multiple length scales in a tractable fashion. It allows to perform precise calculations in established models (such as the Standard Models of particle physics and cosmology), as well as to concisely parametrise possible effects from physics beyond the Standard Models. 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. This is all the more important as there are preciously few textbooks covering the subject, none of them in a complete way. In this book, the lecturers present the concepts in a pedagogical way so that readers can adapt some of the latest developments to their own problems. The chapters cover almost all the lectures given at the school and will serve as an introduction to the topic and as a reference manual to students and researchers.
Author : Alexey A Petrov,Andrew E Blechman
Publisher : World Scientific
Page : 320 pages
File Size : 45,8 Mb
Release : 2015-11-18
Category : Science
ISBN : 9789814434942
' 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. Contents:IntroductionSymmetriesElementary TechniquesEffective Field Theories of Type IEffective Field Theories of Type II. Part AEffective Field Theories of Type II. Part BEffective Field Theories of Type III. Fast Particles in Effective TheoriesStandard Model as an Effective Field TheoryEffective Field Theories of GravityOutlook Readership: For the advanced student having studied quantum field theory at the level of Peskin and Schroeder''s text. Key Features:Presents the only comprehensive book on effective field theories and their applications in different subfields of theoretical physics on the marketIncludes new topics such as soft-collinear effective theory that are not included in any other textbookKeywords:Effective Field Theories;Quantum Field Theory;Bound And Unstable States;Bethe-Salpeter Equations;Lagrangian Approach;Hamiltonian Approach;Theory Of Quantized Fields;Renormalization;Renormalization Group'