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Quantum field theory I : foundations and Abelian and non-Abelian gauge theories / Edouard B.Manoukian.

By: Material type: TextTextSeries: Graduate texts in physicsPublication details: Switzerland : Springer, 2016.Description: xx, 586 pages : illustrations ; 25 cmISBN:
  • 9783319309385 (alk. paper)
Subject(s): DDC classification:
  • 530.143 23 M285
Contents:
1. Introduction -- 2. Preliminaries -- 3. Quantum Field Theory Methods of Spin 1/2 -- 4. Fundamental Aspects of Quantum Field Theory -- 5. Abelian Gauge Theories -- 6. Non- Abelian Gauge Theories -- Appendix I: The Dirac Formalism -- Appendix II: Doing Intergals in Field Theory -- Appendix III: Analytic Continuation in Spacetime Dimension and Dimensional Regulation -- Appendix IV: Schwinger?s Point Splitting Method of Currents: Arbitrary Orders -- Appendix V: Renormalization and the Underlying Subtractions -- Solutions to the Problems -- Index.
Summary: The book is unique in that it offers a new approach to the subject and explores many topics merely touched upon, if covered at all, in standard reference works. A detailed and largely non-technical introductory chapter traces the development of QFT from its inception in 1926. The elegant functional differential approach put forward by Schwinger, referred to as the quantum dynamical (action) principle, and its underlying theory are used systematically in order to generate the so-called vacuum-to-vacuum transition amplitude of both abelian and non-abelian gauge theories, in addition to Feynman?s well-known functional integral approach, referred to as the path-integral approach. Given the wealth of information also to be found in the abelian case, equal importance is put on both abelian and non-abelian gauge theories. Particular emphasis is placed on the concept of a quantum field and its particle content to provide an appropriate description of physical processes at high energies, where relativity becomes indispensable. Moreover, quantum mechanics implies that a wave function renormalization arises in the QFT field independent of any perturbation theory - a point not sufficiently emphasized in the literature. The book provides an overview of all the fields encountered in present high-energy physics, together with the details of the underlying derivations. Further, it presents "deep inelastic" experiments as a fundamental application of quantum chromodynamics.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 530.143 M285 (Browse shelf(Opens below)) Available 138156
Total holds: 0

Includes bibliographical references and index.

1. Introduction --
2. Preliminaries --
3. Quantum Field Theory Methods of Spin 1/2 --
4. Fundamental Aspects of Quantum Field Theory --
5. Abelian Gauge Theories --
6. Non- Abelian Gauge Theories --
Appendix I: The Dirac Formalism --
Appendix II: Doing Intergals in Field Theory --
Appendix III: Analytic Continuation in Spacetime Dimension and Dimensional Regulation --
Appendix IV: Schwinger?s Point Splitting Method of Currents: Arbitrary Orders --
Appendix V: Renormalization and the Underlying Subtractions --
Solutions to the Problems --
Index.

The book is unique in that it offers a new approach to the subject and explores many topics merely touched upon, if covered at all, in standard reference works. A detailed and largely non-technical introductory chapter traces the development of QFT from its inception in 1926. The elegant functional differential approach put forward by Schwinger, referred to as the quantum dynamical (action) principle, and its underlying theory are used systematically in order to generate the so-called vacuum-to-vacuum transition amplitude of both abelian and non-abelian gauge theories, in addition to Feynman?s well-known functional integral approach, referred to as the path-integral approach. Given the wealth of information also to be found in the abelian case, equal importance is put on both abelian and non-abelian gauge theories. Particular emphasis is placed on the concept of a quantum field and its particle content to provide an appropriate description of physical processes at high energies, where relativity becomes indispensable. Moreover, quantum mechanics implies that a wave function renormalization arises in the QFT field independent of any perturbation theory - a point not sufficiently emphasized in the literature. The book provides an overview of all the fields encountered in present high-energy physics, together with the details of the underlying derivations. Further, it presents "deep inelastic" experiments as a fundamental application of quantum chromodynamics.

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