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General Principles of Quantum Field Theory

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 916/5 ( reviews)

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Book Synopsis General Principles of Quantum Field Theory by : N.N. Bogolubov

Download or read book General Principles of Quantum Field Theory written by N.N. Bogolubov. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the "physical" local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such "physical" fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy "phe nomenological" Lagrangians.

The Conceptual Framework of Quantum Field Theory

2012-08-09 Science
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Release : 2012-08-09
Genre : Science
Kind : eBook
Book Rating : 207/5 ( reviews)

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Book Synopsis The Conceptual Framework of Quantum Field Theory by : Anthony Duncan

Download or read book The Conceptual Framework of Quantum Field Theory written by Anthony Duncan. This book was released on 2012-08-09. Available in PDF, EPUB and Kindle. Book excerpt: 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.

General Principles of Quantum Field Theory

2012-02-09 Science
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Release : 2012-02-09
Genre : Science
Kind : eBook
Book Rating : 927/5 ( reviews)

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Book Synopsis General Principles of Quantum Field Theory by : N.N. Bogolubov

Download or read book General Principles of Quantum Field Theory written by N.N. Bogolubov. This book was released on 2012-02-09. Available in PDF, EPUB and Kindle. Book excerpt: The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the "physical" local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such "physical" fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy "phe nomenological" Lagrangians.

An Introduction To Quantum Field Theory

2018-05-04 Science
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Release : 2018-05-04
Genre : Science
Kind : eBook
Book Rating : 182/5 ( reviews)

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Book Synopsis An Introduction To Quantum Field Theory by : Michael E. Peskin

Download or read book An Introduction To Quantum Field Theory written by Michael E. Peskin. This book was released on 2018-05-04. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.

Quantum Theory of Fields

2014-03-05 Science
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Release : 2014-03-05
Genre : Science
Kind : eBook
Book Rating : 492/5 ( reviews)

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Book Synopsis Quantum Theory of Fields by : Gregor Wentzel

Download or read book Quantum Theory of Fields written by Gregor Wentzel. This book was released on 2014-03-05. Available in PDF, EPUB and Kindle. Book excerpt: Written by a pioneer of quantum field theory, this introductory volume explores scalar fields, vector meson fields, quantum electrodynamics, quantization of electron wave field according to exclusion principle. 1949 edition.

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