9783540652359

Fields, Symmetries, and Quarks

by
  • ISBN13:

    9783540652359

  • ISBN10:

    3540652353

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 1999-07-01
  • Publisher: Springer Verlag
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Summary

This textbook covers elements of quantum field theory, symmetry principles, gauge field theories and phenomenological descriptions of hadrons, with special emphasis on topics relevant to hadron and nuclear physics. Written at an introductory level, it is aimed at nuclear physicists in general and experimentalists in particular who need a working knowledge of field theory, symmetry principles of elementary particles and their interactions and the quark structure of hadrons. It will also be of benefit to graduate students who need an understanding of the basics of these topics for their work in other fields.

Table of Contents

Part I. Preliminaries
Units and Metric
3(6)
Units
3(1)
Metric and Notation
4(5)
Part II. Fundamentals of Field Theory
Classical Fields
9(12)
Equations of Motion
9(5)
Examples
11(3)
Symmetries and Conservation Laws
14(7)
Geometrical Space--Time Symmetries
15(2)
Internal Symmetries
17(4)
Free Fields and Their Quantization
21(36)
Classification of Fields
21(2)
Scalar Fields
23(6)
Quantization of the Hermitian Scalar Field
24(3)
Quantization of the Charged Scalar Field
27(2)
Vector Fields
29(3)
Massive Vector Fields
29(1)
Massless Vector Fields
30(2)
Fermion Fields
32(12)
Dirac Equation
32(2)
Lagrangian for Fermion Fields
34(1)
Quantization of the Dirac Field
35(3)
Massless Fermions
38(2)
Neutrinos
40(4)
Transition Rates in Quantum Field Theory
44(8)
Quantum Mechanical Consistency
52(5)
Part III. Global Symmetries
Symmetries of Meson and Baryon Systems
57(30)
U (1)Symmetry
57(3)
Properties of the Group U(1)
58(1)
Structure of the Nucleon Lagrangian
59(1)
SU(2) Symmetry
60(14)
Properties of the Group SU(2)
60(4)
General Definitions
64(1)
Application to the Pion-Nucleon System
64(8)
Structure of SU(2) Multiplets
72(2)
SU(3) Symmetry
74(13)
Properties of the Group SU(3)
75(3)
Structure of SU(3) Multiplets
78(5)
Assignments of Hadrons to SU(3) Multiplets
83(2)
SU(3) Symmetry Breaking
85(2)
Quarks
87(16)
Construction of SU(3) Multiplets
87(5)
Construction of the Representation 3 Å 3
89(1)
Construction of the Representation 3 Å 3 Å 3
90(2)
State Vectors for the Multiplets
92(8)
Tensor Algebra
93(3)
Hadron Multiplets
96(4)
Color Degree of Freedom
100(3)
Chiral Symmetry
103(12)
Phenomenology of β-Decay
103(3)
Leptonic β-Decay
103(1)
Semileptonic β-Decay
104(2)
Current Conservation in Strong Interactions
106(4)
Vector Current Conservation
106(2)
Axial Vector Current Conservation
108(2)
Chiral Symmetry Group
110(5)
Chiral Symmetry Transformations for the Fermions
110(2)
Chiral Symmetry Transformations for the Mesons
112(3)
Spontaneous Global Symmetry Breaking
115(20)
Glodstone Theorem
115(4)
Goldstone Bosons
116(3)
Examples of the Goldstone Mechanism
119(16)
Spotaneous Breaking of a Global Non-Abelian Symmetry
119(2)
α-Model
121(8)
Nambu-Jana-Lasinio Model
129(6)
Part IV. Local Gauge Symmetries
Gauge Field Theories
135(12)
Conserved Currents in QED
135(2)
Local Abelian Gauge Invariance
137(2)
Non-Abelian Gauge Fields
139(8)
Lagrangian for Non-Abelian Gauge Field Theories
139(5)
Properties of Non-Abelian Gauge Field Theories
144(3)
Spontaneous Symmetry Breaking in Gauge Field Theories
147(12)
Higgs Mechanism
147(3)
Spontaneous Breaking of a Local Non-Abelian Symmetry
150(5)
Summary of the Higgs Mechanism
155(4)
Part V. Electroweak Interaction
Weak Interactions of Quarks and Leptons
159(8)
Phenomenological Introduction
159(2)
Strangeness Changing Weak Decays
159(1)
Neutral Currents
160(1)
Intermediate Vector Bosons
161(3)
Fundamentals for a Theory of Weak Interactions
164(3)
Electroweak Interactions of Leptons
167(20)
Leptonic Multiplets and Interactions
167(8)
Electroweak Currents
174(1)
Lepton Masses
175(1)
Electroweak Interactions
176(4)
Generalization to Other Leptons
180(1)
Parameters of the Lagrangian
180(7)
Charged Current Experiments
180(2)
Neutral Current Experiments
182(5)
Electroweak Interactions of Quarks
187(6)
Hadronic Multiplets
187(6)
Hardon Masses
190(3)
Electroweak Interactions of Quarks and Leptons
193(4)
Lagrangian of Electroweak Interactions
193(1)
Standard Model
194(3)
CP Invariance of Electroweak Interactions
197(12)
Kobayashi-Maskawa Matrix
197(1)
Unitarity of the KM Matrix
198(3)
K0 Decay and CP Violation
201(2)
CP Invariance and the KM Matrix
203(6)
Part VI. Strong Interaction
Quantum Chromodynamics
209(14)
Gauge Group for Strong Interactions
209(2)
QCD Lagrangian
211(2)
Properties of QCD
213(10)
Scale Invariance
213(1)
Chiral Invariance
214(1)
Antishielding and Confinement
215(2)
Deconfinement Phase Transition
217(6)
Part VII. Hadron Structure
Bag Models of Hadrons
223(34)
Potential Well in the Dirac Theory
223(5)
The MIT Bag
228(29)
Fermions in the MIT Bag
229(3)
Hadron Masses
232(2)
Gluons in the MIT Bag
234(1)
Hyperfine Structure of Bag States
235(8)
Magnetic Moments of the Nucleon
243(3)
Axial Vector Current
246(5)
Chiral Symmetry in the MIT Bag
251(6)
Soliton Models of Hadrons
257(40)
Skyrmion Model
258(4)
Hybrid Chiral Bag Model
262(7)
Linear α-Model
269(3)
Friedberg-Lee Soliton Bag Model
272(2)
NJL Soliton Model
274(5)
Part VIII. Appendices
A. Solutions of the Free Dirac Equation
279(10)
A.1 Properties of Free Dirac States
279(5)
A.2 Massless Fermions
284(2)
A.3 Dirac and Majorana Fields
286(3)
B. Explicit Quark States for Hadrons
289(4)
C. Table of Hadron Properties
293(4)
Bibliography by Subject 297(6)
References 303(4)
Index 307

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