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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.


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: 0521195470

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


Classical Field Theory

Classical Field Theory
Author: Joel Franklin
Publisher: Cambridge University Press
Total Pages: 219
Release: 2017-04-27
Genre: Science
ISBN: 1107189616

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Special relativity -- Point particle fields -- Field Lagrangians -- Gravity


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.


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

Download Introduction to Effective Field Theory Book in PDF, ePub and Kindle

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 Theories

Effective Field Theories
Author: Alexey A. Petrov
Publisher: World Scientific
Total Pages: 318
Release: 2015-11-18
Genre: Science
ISBN: 9814434930

Download Effective Field Theories Book in PDF, ePub and Kindle

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.


Classical Fields: General Relativity And Gauge Theory

Classical Fields: General Relativity And Gauge Theory
Author: Moshe Carmeli
Publisher: World Scientific Publishing Company
Total Pages: 669
Release: 2001-11-28
Genre: Science
ISBN: 9813105909

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This invaluable book presents gravitation and gauge fields as interrelated topics with a common physical and mathematical foundation, such as gauge theory of gravitation and other fields, giving emphasis to the physicist's point of view.About half of the material is devoted to Einstein's general relativity theory, and the rest to gauge fields that naturally blend well with gravitation, including spinor formulation, classification of SU(2) gauge fields and null-tetrad formulation of the Yang-Mills field in the presence of gravitation.The text includes a useful introduction to the physical foundation of the theory of gravitation. It also provides the mathematical theory of the geometry of curved space-times needed to describe Einstein's general relativity theory.


The Structural Foundations of Quantum Gravity

The Structural Foundations of Quantum Gravity
Author: Dean Rickles
Publisher: Oxford University Press
Total Pages: 283
Release: 2006-11-16
Genre: Mathematics
ISBN: 0199269696

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What is spacetime? General relativity and quantum field theory answer this question in different ways. This collection of essays looks at the problem of uniting these two fundamental theories of our world, focusing on the nature of space and time within this quantum framework.