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Effective Field Theories

Effective Field Theories
Author: Alexey A Petrov
Publisher: World Scientific
Total Pages: 318
Release: 2015-11-18
Genre: Science
ISBN: 9814434949

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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.


Effective Field Theory in Particle Physics and Cosmology

Effective Field Theory in Particle Physics and Cosmology
Author: Sacha Davidson
Publisher: Oxford University Press
Total Pages: 400
Release: 2020-04-20
Genre: Science
ISBN: 0192597760

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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.


Applications of Effective Field Theories Within and Beyond the Standard Model: Soft-Collinear Effective Theory and the Littlest Higgs Model with T-parity

Applications of Effective Field Theories Within and Beyond the Standard Model: Soft-Collinear Effective Theory and the Littlest Higgs Model with T-parity
Author: Seung Joon Lee
Publisher:
Total Pages: 203
Release: 2008
Genre:
ISBN: 9780549432128

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In this thesis, two particular applications of effective field theory (EFT) within and beyond the Standard Model (SM) of particle physics are presented.


Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems

Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems
Author: Bohdan I Lev
Publisher: World Scientific
Total Pages: 352
Release: 2021-02-18
Genre: Science
ISBN: 9811229996

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This book formulates a unified approach to the description of many-particle systems combining the methods of statistical physics and quantum field theory. The benefits of such an approach are in the description of phase transitions during the formation of new spatially inhomogeneous phases, as well in describing quasi-equilibrium systems with spatially inhomogeneous particle distributions (for example, self-gravitating systems) and metastable states.The validity of the methods used in the statistical description of many-particle systems and models (theory of phase transitions included) is discussed and compared. The idea of using the quantum field theory approach and related topics (path integration, saddle-point and stationary-phase methods, Hubbard-Stratonovich transformation, mean-field theory, and functional integrals) is described in detail to facilitate further understanding and explore more applications.To some extent, the book could be treated as a brief encyclopedia of methods applicable to the statistical description of spatially inhomogeneous equilibrium and metastable particle distributions. Additionally, the general approach is not only formulated, but also applied to solve various practically important problems (gravitating gas, Coulomb-like systems, dusty plasmas, thermodynamics of cellular structures, non-uniform dynamics of gravitating systems, etc.).


Introduction to Effective Field Theory

Introduction to Effective Field Theory
Author: C. P. Burgess
Publisher: Cambridge University Press
Total Pages: 665
Release: 2020-12-10
Genre: Science
ISBN: 1108915892

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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.


Effective Field Theory Techniques for Resummation in Jet Physics

Effective Field Theory Techniques for Resummation in Jet Physics
Author: Nicholas Daniel Dunn
Publisher:
Total Pages: 178
Release: 2012
Genre:
ISBN:

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In this thesis, we present several new techniques for the resummation of observables relevant to jet physics at the LHC using effective field theory techniques. Specifically, we first derive the factorization theorem and calculate the generic soft function for N-jet threshold resummation. This allows for dynamic threshold resummation at hadron colliders, where parton distribution functions may enhance threshold effects. Then we develop a new metric to gauge the importance of threshold resummation in a process-independent manner. This also allows us to determine the relevant scales for threshold resummation without the introduction of an arbitrary procedure. Next, we present a new subtraction technique for the calculation of soft functions with complex phase space boundaries. This technique is especially useful in calculations involving eta-phi jet algorithms, which are common at hadron colliders. Finally, we discuss a new regularization scheme for real emission diagrams and present an example of said scheme.


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
Total Pages: 356
Release: 2012-06-25
Genre: Science
ISBN: 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 Theories

Effective Field Theories
Author: Ulf-G Meißner
Publisher: Cambridge University Press
Total Pages: 626
Release: 2022-08-25
Genre: Science
ISBN: 110875113X

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Effective field theories are a widely used tool in various branches of physics. This book provides a comprehensive discussion of the foundations and fundamentals of effective field theories of quantum chromodynamics (QCD) in the light quark sector with an emphasis on the study of flavour symmetries and their realizations. In this context, different types of effective field theories pertaining to various energy scales are considered and selected applications are devised. It also covers the formulation of effective field theories in a finite volume and its application in the analysis of lattice QCD data. Effective Field Theories is intended for graduate students and researchers in particle physics, hadron physics and nuclear physics. Exercises are included to help the reader deepen their understanding of the topics discussed throughout, with solutions available to lecturers.