Effective Theories In Physics

Author : James D. Wells
Publisher : Springer Science & Business Media
Page : 84 pages
File Size : 42,8 Mb
Release : 2012-12-14
Category : Science
ISBN : 9783642348921

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Effective Theories in Physics by James D. Wells Pdf

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 : Alexey A. Petrov,Andrew E. Blechman
Publisher : World Scientific
Page : 318 pages
File Size : 49,9 Mb
Release : 2015-11-18
Category : Science
ISBN : 9789814434935

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Effective Field Theories by Alexey A. Petrov,Andrew E. Blechman Pdf

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 : Thomas Mannel
Publisher : Springer Science & Business Media
Page : 192 pages
File Size : 53,8 Mb
Release : 2004-11-26
Category : Science
ISBN : 3540219315

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Effective Field Theories in Flavour Physics by Thomas Mannel Pdf

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 : C. P. Burgess
Publisher : Cambridge University Press
Page : 665 pages
File Size : 45,8 Mb
Release : 2020-12-10
Category : Science
ISBN : 9780521195478

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Introduction to Effective Field Theory by C. P. Burgess Pdf

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

Author : Antal Jakovác,András Patkós
Publisher : Springer
Page : 223 pages
File Size : 47,5 Mb
Release : 2015-11-02
Category : Science
ISBN : 9783319226200

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Resummation and Renormalization in Effective Theories of Particle Physics by Antal Jakovác,András Patkós Pdf

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 : Antonino Zichichi
Publisher : World Scientific
Page : 606 pages
File Size : 46,9 Mb
Release : 1997
Category : Nuclear reactions
ISBN : 9789814529679

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Effective Theories and Fundamental Interactions by Antonino Zichichi Pdf

Author : Sacha Davidson,Paolo Gambino,Mikko Laine,Matthias Neubert,Christophe Salomon
Publisher : Oxford University Press
Page : 400 pages
File Size : 44,7 Mb
Release : 2020-04-20
Category : Science
ISBN : 9780192597762

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Effective Field Theory in Particle Physics and Cosmology by Sacha Davidson,Paolo Gambino,Mikko Laine,Matthias Neubert,Christophe Salomon Pdf

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 : Fernando Cornet,Maria Jose Herrero
Publisher : World Scientific
Page : 278 pages
File Size : 47,7 Mb
Release : 1997-01-04
Category : Electronic
ISBN : 9789814546973

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Effective Theories - Proceedings Of The Advanced School by Fernando Cornet,Maria Jose Herrero Pdf

This volume contains the proceedings of one of the first schools devoted to effective field theories. This subject has recently raised great interest in high energy physics and has become extremely useful in the analysis of experimental data. The lectures cover a wide spectrum of applications of effective field theories with a pedagogical approach, also paying attention to the most recent developments.

Author : Ulf-G Meißner,Akaki Rusetsky
Publisher : Cambridge University Press
Page : 625 pages
File Size : 55,6 Mb
Release : 2022-08-25
Category : Science
ISBN : 9781108476980

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Effective Field Theories by Ulf-G Meißner,Akaki Rusetsky Pdf

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

Author : Kevin Costello
Publisher : American Mathematical Soc.
Page : 264 pages
File Size : 47,9 Mb
Release : 2011
Category : Mathematics
ISBN : 9780821852880

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Renormalization and Effective Field Theory by Kevin Costello Pdf

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 : Adriaan M. J. Schakel
Publisher : Unknown
Page : 413 pages
File Size : 53,9 Mb
Release : 2008
Category : Electronic books
ISBN : 9812813918

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Boulevard of Broken Symmetries by Adriaan M. J. Schakel Pdf

Author : Thomas Mannel
Publisher : Springer
Page : 176 pages
File Size : 46,9 Mb
Release : 2014-03-12
Category : Science
ISBN : 3662145464

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Effective Field Theories in Flavour Physics by Thomas Mannel Pdf

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 : Cliff Peter Burgess
Publisher : Unknown
Page : 128 pages
File Size : 49,6 Mb
Release : 2021
Category : Field theory (Physics)
ISBN : 113904804X

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Introduction to Effective Field Theory by Cliff Peter Burgess Pdf

Author : Karen Crowther
Publisher : Springer
Page : 205 pages
File Size : 43,9 Mb
Release : 2016-07-07
Category : Science
ISBN : 9783319395081

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Effective Spacetime by Karen Crowther Pdf

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 : Timo A. Lähde,Ulf-G. Meißner
Publisher : Springer
Page : 396 pages
File Size : 50,9 Mb
Release : 2019-05-07
Category : Science
ISBN : 9783030141899

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Nuclear Lattice Effective Field Theory by Timo A. Lähde,Ulf-G. Meißner Pdf

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.