Kooperativer Bibliotheksverbund

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Format: IX, 465 S. : graph. Darst.

Series Statement: Lectures notes and supplements in physics

Language: English

Subjects: Physics

Keywords: Dispersionstheorie ; Elementarteilchen ; Feldtheorie ; Dispersionsrelation ; S-Matrix ; Dispersionsrelation ; Quantenfeldtheorie

UID:

Format: XI, 408 S. : , graph. Darst.

Series Statement: Lecture notes and supplements in physics

Language: English

Subjects: Physics

Keywords: Elementarteilchenphysik

UID:

Format: XI, 408 S.

Series Statement: Lecture notes and supplements in physics

Language: English

Subjects: Physics

Keywords: Elementarteilchenphysik

UID:

Format: xvi, 572 Seiten : , Illustrationen.

ISBN: 978-94-024-2189-7

Note: Auf der Rückitelseite: "Japanese original edition ... published in 1987 ..."

Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-94-024-2190-3

Language: English

Subjects: Physics

Author information: Tureanu, Anca.

Author information: Chaichian, Masud, 1941-

UID:

Format: 1 Online-Ressource (XVI, 572 Seiten) , Illustrationen

ISBN: 9789402421903

Uniform Title: Ba no riron 1987

Content: Elementary Particle Theory and Field Theory -- Canonical Formalism and Quantum Mechanics -- Quantisation of Free Fields -- Invariant Functions and Quantisation of Free Fields -- Indefinite Metric and Electromagnetic Field -- Quantisation of Interacting Systems -- Symmetries and Conservation Laws -- S-Matrix -- Cross Sections and Decay Widths -- Discrete Symmetries -- Green’s Functions -- Renormalisation Theory -- Classification of Hadrons and Models -- What is Gauge Theory? -- Spontaneous Symmetry Breaking -- Weinberg-Salam Model -- Path-Integral Method -- Quantisation of Gauge Fields via Path Integral Method -- Becchi-Rouet-Stora Transformations -- Renormalisation Group -- Theory of Confinement -- Anomalous Terms and Dispersion Theory -- Postface -- References -- Index.

Content: This book is a translation of the 8th edition of Prof. Kazuhiko Nishijima’s classical textbook on quantum field theory. It is based on the lectures the Author gave to students and researchers with diverse interests over several years in Japan. The book includes both the historical development of QFT and its practical use in theoretical and experimental particle physics, presented in a pedagogical and transparent way and, in several parts, in a unique and original manner. The Author, Academician Nishijima, is the inventor (independently from Murray Gell-Mann) of the third (besides the electric charge and isospin) quantum number in particle physics: strangeness. He is also most known for his works on several other theories describing particles such as electron and muon neutrinos, and his work on the so-called Gell-Mann–Nishijima formula. The present English translation from its 8th Japanese edition has been initiated and taken care of by the editors Prof. M. Chaichian and Dr. A. Tureanu from the University of Helsinki, who were close collaborators of Prof. Nishijima. Dr. Yuki Sato, a researcher in particle physics at the University of Nagoya, most kindly accepted to undertake the heavy task of translation. The translation of the book can be regarded as a tribute to Prof. Nishijima's memory, for his fundamental contributions to particle physics and quantum field theory. The book presents with utmost clarity and originality the most important topics and applications of QFT which by now constitute the established core of the theory. It is intended for a wide circle of graduate and post-graduate students, as well as researchers in theoretical and particle physics. In addition, the book can be a useful source as a basic material or supplementary literature for lecturers giving a course on quantum field theory.

Additional Edition: ISBN 9789402421897

Additional Edition: ISBN 9789402421910

Additional Edition: ISBN 9789402421927

Additional Edition: Erscheint auch als Druck-Ausgabe Nishijima, Kazuhiko, 1926 - 2009 Quantum field theory Dordrecht : Springer, 2023 ISBN 9789402421897

Additional Edition: ISBN 9402421890

Language: English

Keywords: Quantenfeldtheorie ; Lehrbuch

DOI: 10.1007/978-94-024-2190-3

URL: lizenzpflichtig

Author information: Chaichian, Masud 1941-

Author information: Tureanu, Anca

UID:

Format: 1 online resource (571 pages)

ISBN: 94-024-2190-4

Note: Intro -- Foreword -- Preface to the English Edition -- Preface of the Author -- Contents -- 1 Elementary Particle Theory and Field Theory -- 1.1 Classification of Interactions and Yukawa's Theory -- 1.2 The Muon as the First Member of the Second Generation -- 1.3 Quantum Electrodynamics -- 1.4 The Road from Pions to Hadrons -- 1.5 Strange Particles as Members of the Second Generation -- 1.6 Non-conservation of Parity -- 1.7 Second Generation Neutrinos -- 1.8 Democratic and Aristocratic Hadrons-The Quark Model -- 2 Canonical Formalism and Quantum Mechanics -- 2.1 Schrödinger's Picture and Heisenberg's Picture -- 2.2 Hamilton's Principle -- 2.3 Equivalence Between the Canonical Equations and Lagrange's Equations -- 2.4 Equal-Time Canonical Commutation Relations -- 3 Quantization of Free Fields -- 3.1 Field Theory Based on Canonical Formalism -- 3.1.1 Canonical Commutation Relations -- 3.1.2 Euler-Lagrange Equations -- Example: Klein-Gordon Equation -- 3.1.3 Hamiltonian -- Example: Hamiltonian for Real Scalar Field -- 3.2 Relativistic Generalization of the Canonical Equations -- 3.3 Quantization of the Real Scalar Field -- 3.4 Quantization of the Complex Scalar Field -- 3.5 Dirac Equation -- 3.6 Relativistic Transformations of Dirac's Wave Function -- 3.7 Solutions of the Free Dirac Equation -- 3.8 Quantization of the Dirac Field -- 3.9 Charge Conjugation -- 3.10 Quantization of the Complex Vector Field -- 4 Invariant Functions and Quantization of Free Fields -- 4.1 Unequal-Time Commutation Relations for Real Scalar Fields -- 4.2 Various Invariant Functions -- 4.3 Unequal-Time Commutation Relations of Free Fields -- 4.4 Generalities of the Quantization of Free Fields -- 5 Indefinite Metric and the Electromagnetic Field -- 5.1 Indefinite Metric -- 5.2 Generalized Eigenstates -- 5.3 Free Electromagnetic Field in the Fermi Gauge. , 5.4 Lorenz Condition and Physical State Space -- 5.5 Free Electromagnetic Field: Generalization of Gauge Choices -- 6 Quantization of Interacting Systems -- 6.1 Tomonaga-Schwinger Equation -- 6.2 Retarded Product Expansion of the Heisenberg Operators -- 6.3 Yang-Feldman Expansion of the Heisenberg Operators -- 6.4 Examples of Interactions -- 7 Symmetries and Conservation Laws -- 7.1 Noether's Theorem for Point-Particle Systems -- 7.2 Noether's Theorem in Field Theory -- 7.3 Applications of Noether's Theorem -- 7.4 Poincaré Invariance -- 7.5 Representations of the Lorentz Group -- 7.6 Spin of a Massless Particle -- 7.7 Pauli-Gürsey Group -- 8 S-Matrix -- 8.1 Definition of the S-Matrix -- 8.2 Dyson's Formula for the S-Matrix -- 8.3 Wick's Theorem -- 8.4 Feynman Diagrams -- 8.5 Examples of S-Matrix Elements -- 8.5.1 Compton Scattering -- 8.5.2 Pion Decay to Muons -- Two-Photon Decay of 0 -- 8.6 Furry's Theorem -- 8.7 Two-Photon Decays of Neutral Mesons -- 9 Cross-Sections and Decay Widths -- 9.1 Møller's Formulas -- 9.2 Examples of Cross-Sections and Decay Widths -- 9.3 Inclusive Reactions -- 9.4 Optical Theorem -- 9.5 Three-Body Decays -- 10 Discrete Symmetries -- 10.1 Symmetries and Unitary Transformations -- 10.2 Parity of Antiparticles -- 10.3 Isospin Parity and G-Conjugation -- 10.4 Antiunitary Transformations -- 10.5 CPT Theorem -- 11 Green's Functions -- 11.1 Gell-Mann-Low Relation -- 11.2 Green's Functions and Their Generating Functionals -- 11.3 Different Time-Orderings in the Lagrangian Formalism -- 11.4 Matthews' Theorem -- 11.5 Example of Matthews' Theorem with Modification -- 11.6 Reduction Formula in the Interaction Picture -- 11.7 Asymptotic Conditions -- 11.8 Unitarity Condition on the Green's Function -- 11.9 Retarded Green's Functions -- 12 Renormalization Theory -- 12.1 Lippmann-Schwinger Equation. , 12.2 Renormalized Interaction Picture -- 12.3 Mass Renormalization -- 12.4 Renormalization of Field Operators -- 12.5 Renormalized Propagators -- 12.6 Renormalization of Vertex Functions -- 12.7 Ward-Takahashi Identity -- 12.8 Integral Representation of the Propagator -- 12.8.1 Integral Representation -- 12.8.2 Self-Energy -- 12.8.3 Integral Representation of the Electromagnetic Field Propagator -- 12.8.4 Goto-Imamura-Schwinger Term -- 13 Classification of Hadrons and Models -- 13.1 Unitary Groups -- 13.1.1 Representations of a Group -- 13.1.2 Direct Product Representation -- 13.1.3 Lie Groups -- 13.1.4 Orthogonal Group O(n) -- 13.1.5 Unitary Group U(n) -- 13.1.6 Special Unitary Group SU(2) -- 13.2 The Group SU(3) -- 13.2.1 Generators of SU(3) -- 13.2.2 I-, U-, and V-Spin -- 13.2.3 Three-Body Quark Systems -- 13.2.4 Mass Formulas -- 13.2.5 Baryon Magnetic Moments -- 13.2.6 SU(3)-Invariant Interactions -- 13.2.7 Casimir Operator -- 13.3 Universality of -Meson Decay Interactions -- 13.4 Beta-Decay -- 13.5 Universality of the Fermi Interaction -- 13.6 Quark Model in Weak Interactions -- 13.7 Quark Model in Strong Interactions -- 13.7.1 Mass Formula -- 13.7.2 Magnetic Moments -- 13.8 Parton Model -- 14 What Is Gauge Theory? -- 14.1 Gauge Transformations of the Electromagnetic Field -- 14.2 Non-Abelian Gauge Fields -- 14.3 Gravitational Field as a Gauge Field -- 15 Spontaneous Symmetry Breaking -- 15.1 Nambu-Goldstone Particles -- 15.2 Sigma Model -- 15.3 The Mechanism of Spontaneous Symmetry Breaking -- 15.4 Higgs Mechanism -- 15.5 Higgs Mechanism with Covariant Gauge Condition -- 15.6 Kibble's Theorem -- 15.6.1 Adjoint Representation -- 15.6.2 Kibble's Theorem -- 16 Weinberg-Salam Model -- 16.1 Weinberg-Salam Model -- 16.2 Introducing Fermions -- 16.3 GIM Mechanism -- 16.4 Anomalous Terms and Generation of Fermions -- 16.5 Grand Unified Theory. , 17 Path-Integral Quantization Method -- 17.1 Quantization of a Point-Particle System -- 17.2 Quantization of Fields -- 18 Quantization of Gauge Fields Using the Path-Integral Method -- 18.1 Quantization of Gauge Fields -- 18.1.1 A Method to Specify the Gauge Condition -- 18.1.2 The Additional Term Method -- 18.2 Quantization of the Electromagnetic Field -- 18.2.1 Specifying the Gauge Condition -- 18.2.2 The Additional Term Method -- 18.2.3 Ward-Takahashi Identity -- 18.2.4 Gauge Transformations for Green's Functions -- 18.3 Quantization of Non-Abelian Gauge Fields -- 18.3.1 A Method to Specify the Gauge Condition -- 18.3.2 The Additional Term Method -- 18.3.3 Hermitization of the Lagrangian Density -- 18.3.4 Gauge Transformations of Green's Functions -- 18.4 Axial Gauge -- 18.5 Feynman Rules in the α-Gauge -- 19 Becchi-Rouet-Stora Transformations -- 19.1 BRS Transformations -- 19.2 BRS Charge -- 19.3 Another BRS Transformation -- 19.4 BRS Identity and Slavnov-Taylor Identity -- 19.5 Representations of the BRS Algebra -- 19.6 Unitarity of the S-Matrix -- 19.7 Representations of the Extended BRS Algebra -- 19.8 Representations of BRS Transformations for Auxiliary Fields -- 19.9 Representations of BRSNO Algebras -- 20 Renormalization Group -- 20.1 Renormalization Group for QED -- 20.2 Approximate Equations for the Renormalization Group -- 20.2.1 Approximation Neglecting Vacuum Polarization -- 20.2.2 Approximation Taking into Account Vacuum Polarization -- 20.3 Ovsianikov's Equation -- 20.4 Linear Equations for the Renormalization Group -- 20.5 Callan-Symanzik Equation -- 20.6 Homogeneous Callan-Symanzik Equation -- 20.7 Renormalization Group for Non-Abelian Gauge Theories -- 20.8 Asymptotic Freedom -- 20.8.1 Electron-Positron Collision -- 20.8.2 Bjorken Scaling Law -- 20.9 Gauge Dependence of Green's Functions -- 21 Theory of Confinement. , 21.1 Gauge Independence of the Confinement Condition -- 21.2 Sufficient Condition for Colour Confinement -- 21.3 Colour Confinement and Asymptotic Freedom -- 22 Anomalous Terms and Dispersion Theory -- 22.1 Examples of Indefiniteness and Anomalous Terms -- 22.1.1 Vacuum Polarization -- 22.1.2 Goto-Imamura-Schwinger Term -- 22.1.3 Triangle Anomaly Term -- 22.1.4 Trace Anomaly Term -- 22.2 Dispersion Theory for Green's Functions -- 22.3 Subtractions in Dispersion Relations -- 22.4 Heisenberg Operators -- 22.5 Subtraction Condition -- 22.6 Anomalous Trace Identity -- 22.7 Triangle Anomaly Terms -- 22.7.1 Renormalization Condition -- The Set {P } -- The Set { W } -- The Set { Aλ } -- The Set { Cλ } -- The Set { D } -- The Set { B } -- The Set { S } -- 22.7.2 Ward-Takahashi Identity for Cλ -- 22.7.3 Proof of the Adler-Bardeen Theorem Using the Callan-Symanzik Equation -- Postface -- References -- Index.

Additional Edition: Print version: Nishijima, Kazuhiko Quantum Field Theory Dordrecht : Springer Netherlands,c2022 ISBN 9789402421897

Language: English

UID:

Format: XVI, 572 p. 46 illus. , online resource.

Edition: 1st ed. 2023.

ISBN: 9789402421903

Content: This book is a translation of the 8th edition of Prof. Kazuhiko Nishijima's classical textbook on quantum field theory. It is based on the lectures the Author gave to students and researchers with diverse interests over several years in Japan. The book includes both the historical development of QFT and its practical use in theoretical and experimental particle physics, presented in a pedagogical and transparent way and, in several parts, in a unique and original manner. The Author, Academician Nishijima, is the inventor (independently from Murray Gell-Mann) of the third (besides the electric charge and isospin) quantum number in particle physics: strangeness. He is also most known for his works on several other theories describing particles such as electron and muon neutrinos, and his work on the so-called Gell-Mann-Nishijima formula. The present English translation from its 8th Japanese edition has been initiated and taken care of by the editors Prof. M. Chaichian and Dr. A. Tureanu from the University of Helsinki, who were close collaborators of Prof. Nishijima. Dr. Yuki Sato, a researcher in particle physics at the University of Nagoya, most kindly accepted to undertake the heavy task of translation. The translation of the book can be regarded as a tribute to Prof. Nishijima's memory, for his fundamental contributions to particle physics and quantum field theory. The book presents with utmost clarity and originality the most important topics and applications of QFT which by now constitute the established core of the theory. It is intended for a wide circle of graduate and post-graduate students, as well as researchers in theoretical and particle physics. In addition, the book can be a useful source as a basic material or supplementary literature for lecturers giving a course on quantum field theory.

Note: Elementary Particle Theory and Field Theory -- Canonical Formalism and Quantum Mechanics -- Quantisation of Free Fields -- Invariant Functions and Quantisation of Free Fields -- Indefinite Metric and Electromagnetic Field -- Quantisation of Interacting Systems -- Symmetries and Conservation Laws -- S-Matrix -- Cross Sections and Decay Widths -- Discrete Symmetries -- Green's Functions -- Renormalisation Theory -- Classification of Hadrons and Models -- What is Gauge Theory? -- Spontaneous Symmetry Breaking -- Weinberg-Salam Model -- Path-Integral Method -- Quantisation of Gauge Fields via Path Integral Method -- Becchi-Rouet-Stora Transformations -- Renormalisation Group -- Theory of Confinement -- Anomalous Terms and Dispersion Theory -- Postface -- References -- Index.

In: Springer Nature eBook

Additional Edition: Printed edition: ISBN 9789402421897

Additional Edition: Printed edition: ISBN 9789402421910

Additional Edition: Printed edition: ISBN 9789402421927

Language: English

DOI: 10.1007/978-94-024-2190-3

URL: https://doi.org/10.1007/978-94-024-2190-3