Field Theory Concepts
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Concepts In Quantum Field Theory
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Author : Victor Ilisie
language : en
Publisher: Springer
Release Date : 2015-08-28
Concepts In Quantum Field Theory written by Victor Ilisie and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-28 with Science categories.
This book uses less strict yet still formal mathematical language to clarify a variety of concepts in Quantum Field Theory that remain somewhat “fuzzy” in many books designed for undergraduates and fresh graduates. The aim is not to replace formal books on Quantum Field Theory, but rather to offer a helpful complementary tool for beginners in the field. Features include a reader-friendly introduction to tensor calculus and the concept of manifolds; a simple and robust treatment for dimensional regularization; a consistent explanation of the renormalization procedure, step by step and in a transparent manner at all orders, using the QED Lagrangian; and extensive treatment of infrared as well as ultraviolet divergences. The most general (Lorentz invariant) form of Noether's theorem is presented and applied to a few simple yet relevant examples in Quantum Field Theory. These and further interesting topics are addressed in a way that will be accessible for the target readership. Some familiarity with basic notions of Quantum Field Theory and the basics of Special Relativity is assumed.
The Conceptual Framework Of Quantum Field Theory
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Author : Anthony Duncan
language : en
Publisher: Oxford University Press
Release Date : 2012-08-09
The Conceptual Framework Of Quantum Field Theory written by Anthony Duncan and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-09 with Science categories.
The book attempts to provide an introduction to quantum field theory emphasizing conceptual issues frequently neglected in more "utilitarian" treatments of the subject. The book is divided into four parts, entitled respectively "Origins", "Dynamics", "Symmetries", and "Scales". The emphasis is conceptual - the aim is to build the theory up systematically from some clearly stated foundational concepts - and therefore to a large extent anti-historical, but two historical Chapters ("Origins") are included to situate quantum field theory in the larger context of modern physical theories. The three remaining sections of the book follow a step by step reconstruction of this framework beginning with just a few basic assumptions: relativistic invariance, the basic principles of quantum mechanics, and the prohibition of physical action at a distance embodied in the clustering principle. The "Dynamics" section of the book lays out the basic structure of quantum field theory arising from the sequential insertion of quantum-mechanical, relativistic and locality constraints. The central role of symmetries in relativistic quantum field theories is explored in the third section of the book, while in the final section, entitled "Scales", we explore in detail the feature of quantum field theories most critical for their enormous phenomenological success - the scale separation property embodied by the renormalization group properties of a theory defined by an effective local Lagrangian.
Many Body Problems And Quantum Field Theory
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Author : Philippe Andre Martin
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-08-30
Many Body Problems And Quantum Field Theory written by Philippe Andre Martin 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 2004-08-30 with Science categories.
Many-Body Problems and Quantum Field Theory introduces the concepts and methods of the topics on a level suitable for graduate students and researchers. The formalism is developed in close conjunction with the description of a number of physical systems: cohesion and dielectric properties of the electron gas, superconductivity, superfluidity, nuclear matter and nucleon pairing, matter and radiation, interaction of fields by particle exchange and mass generation. Emphasis is placed on analogies between the various systems rather than on advanced or specialized aspects, with the purpose of illustrating common ideas within different domains of physics. Starting from a basic knowledge of quantum mechanics and classical electromagnetism, the exposition is self-contained and explicitly details all steps of the derivations. The new edition features a subtantially new treatment of nucleon pairing.
Field Theory Concepts
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Author : Adolf J. Schwab
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Field Theory Concepts written by Adolf J. Schwab 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 2012-12-06 with Mathematics categories.
"Field Theory Concepts" is a new approach to the teaching and understanding of field theory. Exploiting formal analo- gies of electric, magnetic, and conduction fields and introducing generic concepts results in a transparently structured electomagnetic field theory. Highly illustrative terms alloweasyaccess to the concepts of curl and div which generally are conceptually demanding. Emphasis is placed on the static, quasistatic and dynamic nature of fields. Eventually, numerical field calculation algorithms, e.g. Finite Element method and Monte Carlo method, are presented in a concise yet illustrative manner.
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.
Particles Fields And Forces
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Author : Wouter Schmitz
language : en
Publisher: Springer
Release Date : 2019-04-23
Particles Fields And Forces written by Wouter Schmitz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-23 with Science categories.
How can fundamental particles exist as waves in the vacuum? How can such waves have particle properties such as inertia? What is behind the notion of “virtual” particles? Why and how do particles exert forces on one another? Not least: What are forces anyway? These are some of the central questions that have intriguing answers in Quantum Field Theory and the Standard Model of Particle Physics. Unfortunately, these theories are highly mathematical, so that most people - even many scientists - are not able to fully grasp their meaning. This book unravels these theories in a conceptual manner, using more than 180 figures and extensive explanations and will provide the nonspecialist with great insights that are not to be found in the popular science literature.
Numerical Analysis Of Electromagnetic Fields
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Author : Pei-bai Zhou
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Numerical Analysis Of Electromagnetic Fields written by Pei-bai Zhou 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 2012-12-06 with Mathematics categories.
Numerical methods for solving boundary value problems have developed rapidly. Knowledge of these methods is important both for engineers and scientists. There are many books published that deal with various approximate methods such as the finite element method, the boundary element method and so on. However, there is no textbook that includes all of these methods. This book is intended to fill this gap. The book is designed to be suitable for graduate students in engineering science, for senior undergraduate students as well as for scientists and engineers who are interested in electromagnetic fields. Objective Numerical calculation is the combination of mathematical methods and field theory. A great number of mathematical concepts, principles and techniques are discussed and many computational techniques are considered in dealing with practical problems. The purpose of this book is to provide students with a solid background in numerical analysis of the field problems. The book emphasizes the basic theories and universal principles of different numerical methods and describes why and how different methods work. Readers will then understand any methods which have not been introduced and will be able to develop their own new methods. Organization Many of the most important numerical methods are covered in this book. All of these are discussed and compared with each other so that the reader has a clear picture of their particular advantage, disadvantage and the relation between each of them. The book is divided into four parts and twelve chapters.
Introduction To Conformal Field Theory
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Author : Ralph Blumenhagen
language : en
Publisher: Springer
Release Date : 2009-07-11
Introduction To Conformal Field Theory written by Ralph Blumenhagen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-11 with Science categories.
Based on class-tested notes, this text offers an introduction to Conformal Field Theory with a special emphasis on computational techniques of relevance for String Theory. It introduces Conformal Field Theory at a basic level, Kac-Moody algebras, one-loop partition functions, Superconformal Field Theories, Gepner Models and Boundary Conformal Field Theory. Eventually, the concept of orientifold constructions is explained in detail for the example of the bosonic string. In providing many detailed CFT calculations, this book is ideal for students and scientists intending to become acquainted with CFT techniques relevant for string theory but also for students and non-specialists from related fields.
Gauge Field Theories
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Author : Mike Guidry
language : en
Publisher: John Wiley & Sons
Release Date : 2008-07-11
Gauge Field Theories written by Mike Guidry and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-11 with Science categories.
Acquaints readers with the main concepts and literature of elementary particle physics and quantum field theory. In particular, the book is concerned with the elaboration of gauge field theories in nuclear physics; the possibility of creating fundamental new states of matter such as an extended quark-gluon plasma in ultra-relativistic heavy ion collisions; and the relation of gauge theories to the creation and evolution of the universe. Divided into three parts, it opens with an introduction to the general principles of relativistic quantum field theory followed by the essential ingredients of gauge fields for weak and electromagnetic interactions, quantum chromodynamics and strong interactions. The third part is concerned with the interface between modern elementary particle physics and "applied disciplines" such as nuclear physics, astrophysics and cosmology. Includes references and numerous exercises.
Conceptual Foundations Of Quantum Field Theory
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Author : Tian Yu Cao
language : en
Publisher: Cambridge University Press
Release Date : 2004-03-25
Conceptual Foundations Of Quantum Field Theory written by Tian Yu Cao 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 2004-03-25 with Science categories.
Multi-author volume on the history and philosophy of physics.