Effective Field Theories


Effective Field Theories
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Introduction To Effective Field Theory


Introduction To Effective Field Theory
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Author : C. P. Burgess
language : en
Publisher: Cambridge University Press
Release Date : 2020-12-10

Introduction To Effective Field Theory written by C. P. Burgess and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-10 with Science categories.


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
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Author : Alexey A Petrov
language : en
Publisher: World Scientific
Release Date : 2015-11-18

Effective Field Theories written by Alexey A Petrov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-18 with Science categories.


' 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'



Effective Field Theories In Flavour Physics


Effective Field Theories In Flavour Physics
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Author : Thomas Mannel
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-11-26

Effective Field Theories In Flavour Physics written by Thomas Mannel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-26 with Science categories.


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.



Effective Field Theories


Effective Field Theories
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Author : Ulf-G Meißner
language : en
Publisher: Cambridge University Press
Release Date : 2022-08-25

Effective Field Theories written by Ulf-G Meißner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-25 with Science categories.


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



Renormalization And Effective Field Theory


Renormalization And Effective Field Theory
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Author : Kevin Costello
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Renormalization And Effective Field Theory written by Kevin Costello and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Quantum field theory categories.


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.



Effective Theories In Physics


Effective Theories In Physics
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Author : James D. Wells
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-14

Effective Theories In Physics written by James D. Wells and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-14 with Science categories.


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.



Nuclear Lattice Effective Field Theory


Nuclear Lattice Effective Field Theory
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Author : Timo A. Lähde
language : en
Publisher: Springer
Release Date : 2019-05-07

Nuclear Lattice Effective Field Theory written by Timo A. Lähde and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-07 with Science categories.


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.



Quantum Field Theory And The Standard Model


Quantum Field Theory And The Standard Model
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Author : Matthew D. Schwartz
language : en
Publisher: Cambridge University Press
Release Date : 2014

Quantum Field Theory And The Standard Model written by Matthew D. Schwartz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Science categories.


A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.



Resummation And Renormalization In Effective Theories Of Particle Physics


Resummation And Renormalization In Effective Theories Of Particle Physics
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Author : Antal Jakovác
language : en
Publisher: Springer
Release Date : 2015-11-02

Resummation And Renormalization In Effective Theories Of Particle Physics written by Antal Jakovác and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-02 with Science categories.


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.



Basics Of Thermal Field Theory


Basics Of Thermal Field Theory
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Author : Mikko Laine
language : en
Publisher: Springer
Release Date : 2016-06-09

Basics Of Thermal Field Theory written by Mikko Laine and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-09 with Science categories.


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.