An introduction to quantum field theory

Contents......Page all_32301_to_0216.cpc0003.djvu
Preface......Page all_32301_to_0216.cpc0009.djvu
Notations and Conventions......Page all_32301_to_0216.cpc0017.djvu
Editor\'s Foreword......Page all_32301_to_0216.cpc0020.djvu
1. Invitation: Pair Production in e⁺e⁻ Annihilation......Page all_32301_to_0216.cpc0023.djvu
2.1. The Necessity of the Field Viewpoint......Page all_32301_to_0216.cpc0033.djvu
2.2. Elements of Classical Field Theory......Page all_32301_to_0216.cpc0035.djvu
2.3. The Klein-Gordon Field as Harmonic Oscillators......Page all_32301_to_0216.cpc0039.djvu
2.4. The Klein-Gordon Field in Space-Time......Page all_32301_to_0216.cpc0045.djvu
Problems......Page all_32301_to_0216.cpc0053.djvu
3.1. Lorentz Invariance in Wave Equations......Page all_32301_to_0216.cpc0055.djvu
3.2. The Dirac Equation......Page all_32301_to_0216.cpc0060.djvu
3.3. Free-Particle Solutions of the Dirac Equation......Page all_32301_to_0216.cpc0065.djvu
3.4. Dirac Matrices and Dirac Field Bilinears......Page all_32301_to_0216.cpc0069.djvu
3.5. Quantization of the Dirac Field......Page all_32301_to_0216.cpc0072.djvu
3.6. Discrete Symmetries of the Dirac Theory......Page all_32301_to_0216.cpc0084.djvu
Problems......Page all_32301_to_0216.cpc0091.djvu
4.1. Perturbation Theory - Philosophy and Examples......Page all_32301_to_0216.cpc0097.djvu
4.2. Perturbation Expansion of Correlation Functions......Page all_32301_to_0216.cpc0102.djvu
4.3. Wick\'s Theorem......Page all_32301_to_0216.cpc0108.djvu
4.4. Feynman Diagrams......Page all_32301_to_0216.cpc0110.djvu
4.5. Cross Sections and the S-Matrix......Page all_32301_to_0216.cpc0119.djvu
4.6. Computing S-Matrix Elements from Feynman Diagrams......Page all_32301_to_0216.cpc0128.djvu
4.7. Feynman Rules for Fermions......Page all_32301_to_0216.cpc0135.djvu
4.8. Feynman Rules for Quantum Electrodynamics......Page all_32301_to_0216.cpc0143.djvu
Problems......Page all_32301_to_0216.cpc0146.djvu
5.1. e⁺e⁻ --> μ⁺μ⁻: Introduction......Page all_32301_to_0216.cpc0151.djvu
5.2. e⁺e⁻ --> μ⁺μ⁻: Helicity Structure......Page all_32301_to_0216.cpc0161.djvu
5.3. e⁺e⁻ --> μ⁺μ⁻: Nonrelativistic Limit......Page all_32301_to_0216.cpc0166.djvu
5.4. Crossing Symmetry......Page all_32301_to_0216.cpc0173.djvu
5.5. Compton Scattering......Page all_32301_to_0216.cpc0178.djvu
Problems......Page all_32301_to_0216.cpc0189.djvu
6. Radiative Corrections: Introduction......Page all_32301_to_0216.cpc0195.djvu
6.1. Soft Bremsstrahlung......Page all_32301_to_0216.cpc0196.djvu
6.2. The Electron Vertex Function: Formal Structure......Page all_32301_to_0216.cpc0204.djvu
6.3. The Electron Vertex Function: Evaluation......Page all_32301_to_0216.cpc0209.djvu
6.4. The Electron Vertex Function: Infrared Divergence......Page all_32301_to_0432.cpc0003.djvu
6.5. Summation and Interpretation of Infrared Divergences......Page all_32301_to_0432.cpc0006.djvu
Problems......Page all_32301_to_0432.cpc0012.djvu
7.1. Field-Strength Renormalization......Page all_32301_to_0432.cpc0015.djvu
7.2. The LSZ Reduction Formula......Page all_32301_to_0432.cpc0026.djvu
7.3. The Optical Theorem......Page all_32301_to_0432.cpc0034.djvu
7.4. The Ward-Takahashi Identity......Page all_32301_to_0432.cpc0042.djvu
7.5. Renormahzation of the Electric Charge......Page all_32301_to_0432.cpc0048.djvu
Problems......Page all_32301_to_0432.cpc0061.djvu
Final Project: Radiation of Gluon Jets......Page all_32301_to_0432.cpc0063.djvu
8. Invitation: Ultraviolet Cutoffs and Critical Fluctuations......Page all_32301_to_0432.cpc0069.djvu
9.1. Path Integrals in Quantum Mechanics......Page all_32301_to_0432.cpc0079.djvu
9.2. Functional Quantization of Scalar Fields......Page all_32301_to_0432.cpc0086.djvu
9.3. Quantum Field Theory and Statistical Mechanics......Page all_32301_to_0432.cpc0096.djvu
9.4. Quantization of the Electromagnetic Field......Page all_32301_to_0432.cpc0098.djvu
9.5. Functional Quantization of Spinor Fields......Page all_32301_to_0432.cpc0102.djvu
9.6. Symmetries in the Functional Formalism......Page all_32301_to_0432.cpc0110.djvu
Problems......Page all_32301_to_0432.cpc0116.djvu
10.1. Counting of Ultraviolet Divergences......Page all_32301_to_0432.cpc0119.djvu
10.2. Renormalized Perturbation Theory......Page all_32301_to_0432.cpc0127.djvu
10.3. Renormalization of Quantum Electrodynamics......Page all_32301_to_0432.cpc0134.djvu
10.4. Renormalization Beyond the Leading Order......Page all_32301_to_0432.cpc0139.djvu
10.5. A Two-Loop Example......Page all_32301_to_0432.cpc0142.djvu
Problems......Page all_32301_to_0432.cpc0148.djvu
11. Renormalization and Symmetry......Page all_32301_to_0432.cpc0151.djvu
11.1. Spontaneous Symmetry Breaking......Page all_32301_to_0432.cpc0152.djvu
11.2. Renormalization and Symmetry: An Explicit Example......Page all_32301_to_0432.cpc0156.djvu
11.3. The Effective Action......Page all_32301_to_0432.cpc0168.djvu
11.4. Computation of the Effective Action......Page all_32301_to_0432.cpc0174.djvu
11.5. The Effective Action as a Generating Functional......Page all_32301_to_0432.cpc0183.djvu
11.6. Renormalization and Symmetry: General Analysis......Page all_32301_to_0432.cpc0187.djvu
Problems......Page all_32301_to_0432.cpc0193.djvu
12. The Renormalization Group......Page all_32301_to_0432.cpc0197.djvu
12.1. Wilson\'s Approach to Renormalization Theory......Page all_32301_to_0432.cpc0198.djvu
12.2. The Callan-Symanzik Equation......Page all_32301_to_0432.cpc0210.djvu
12.3. Evolution of CoupUng Constants......Page all_32301_to_0648.cpc0006.djvu
12.4. Renormalization of Local Operators......Page all_32301_to_0648.cpc0016.djvu
12.5. Evolution of Mass Parameters......Page all_32301_to_0648.cpc0020.djvu
Problems......Page all_32301_to_0648.cpc0026.djvu
13. Critical Exponents and Scalar Field Theory......Page all_32301_to_0648.cpc0027.djvu
13.1. Theory of Critical Exponents......Page all_32301_to_0648.cpc0028.djvu
13.2. Critical Behavior in Four Dimensions......Page all_32301_to_0648.cpc0039.djvu
13.3. The Nonlinear Sigma Model......Page all_32301_to_0648.cpc0042.djvu
Problems......Page all_32301_to_0648.cpc0054.djvu
Final Project: The Coleman-Weinberg Potential......Page all_32301_to_0648.cpc0057.djvu
14. Invitation: The Parton Model of Hadron Structure......Page all_32301_to_0648.cpc0061.djvu
15. Non-Abelian Gauge Invariance......Page all_32301_to_0648.cpc0069.djvu
15.1. The Geometry of Gauge Invariance......Page all_32301_to_0648.cpc0070.djvu
15.2. The Yang-Mills Lagrangian......Page all_32301_to_0648.cpc0074.djvu
15.3. The Gauge-Invariant Wilson Loop......Page all_32301_to_0648.cpc0079.djvu
15.4. Basic Facts About Lie Algebras......Page all_32301_to_0648.cpc0083.djvu
Problems......Page all_32301_to_0648.cpc0090.djvu
16. Quantization of Non-Abelian Gauge Theories......Page all_32301_to_0648.cpc0093.djvu
16.1. Interactions of Non-Abelian Gauge Bosons......Page all_32301_to_0648.cpc0094.djvu
16.2. The Faddeev-Popov Lagrangian......Page all_32301_to_0648.cpc0100.djvu
16.3. Ghosts and Unitarity......Page all_32301_to_0648.cpc0103.djvu
16.4. BRST Symmetry......Page all_32301_to_0648.cpc0105.djvu
16.5. One-Loop Divergences of Non-Abelian Gauge Theory......Page all_32301_to_0648.cpc0109.djvu
16.6. Asymptotic Freedom: The Background Field Method......Page all_32301_to_0648.cpc0121.djvu
16.7. Asymptotic Freedom: A Qualitative Explanation......Page all_32301_to_0648.cpc0129.djvu
Problems......Page all_32301_to_0648.cpc0132.djvu
17.1. From Quarks to QCD......Page all_32301_to_0648.cpc0133.djvu
17.2. e⁺e⁻ Annihilation into Hadrons......Page all_32301_to_0648.cpc0136.djvu
17.3. Deep Inelastic Scattering......Page all_32301_to_0648.cpc0143.djvu
17.4. Hard-Scattering Processes in Hadron Collisions......Page all_32301_to_0648.cpc0151.djvu
17.5. Parton Evolution......Page all_32301_to_0648.cpc0162.djvu
17.6. Measurements of as......Page all_32301_to_0648.cpc0181.djvu
Problems......Page all_32301_to_0648.cpc0183.djvu
18.1. Renormalization of the Quark Mass Parameter......Page all_32301_to_0648.cpc0187.djvu
18.2. QCD Renormahzation of the Weak Interactions......Page all_32301_to_0648.cpc0193.djvu
18.3. The Operator Product Expansion......Page all_32301_to_0648.cpc0200.djvu
18.4. Operator Analysis of e⁺e⁻ Annihilation......Page all_32301_to_0648.cpc0203.djvu
18.5. Operator Analysis of Deep Inelastic Scattering......Page all_32301_to_0648.cpc0209.djvu
Problems......Page all_32301_to_0864.cpc0019.djvu
19.1. The Axial Current in Two Dimensions......Page all_32301_to_0864.cpc0023.djvu
19.2. The Axial Current in Four Dimensions......Page all_32301_to_0864.cpc0031.djvu
19.3. Goldstone Bosons and Chiral Symmetries in QCD......Page all_32301_to_0864.cpc0039.djvu
19.4. Chiral Anomalies and Chiral Gauge Theories......Page all_32301_to_0864.cpc0048.djvu
19.5. Anomalous Breaking of Scale Invariance......Page all_32301_to_0864.cpc0054.djvu
Problems......Page all_32301_to_0864.cpc0058.djvu
20. Gauge Theories with Spontaneous Symmetry Breaking......Page all_32301_to_0864.cpc0061.djvu
20.1. The Higgs Mechanism......Page all_32301_to_0864.cpc0062.djvu
20.2. The Glashow-Weinberg-Salam Theory of Weak Interactions......Page all_32301_to_0864.cpc0072.djvu
20.3. Symmetries of the Theory of Quarks and Leptons......Page all_32301_to_0864.cpc0091.djvu
Problems......Page all_32301_to_0864.cpc0100.djvu
21. Quantization of Spontaneously Broken Gauge Theories......Page all_32301_to_0864.cpc0103.djvu
21.1. The R_ξ Gauges......Page all_32301_to_0864.cpc0104.djvu
21.2. The Goldstone Boson Equivalence Theorem......Page all_32301_to_0864.cpc0115.djvu
21.3. One-Loop Corrections in Weak-Interaction Gauge Theory......Page all_32301_to_0864.cpc0130.djvu
Problems......Page all_32301_to_0864.cpc0145.djvu
Final Project: Decays of the Higgs Boson......Page all_32301_to_0864.cpc0147.djvu
22. Quantum Field Theory at the Frontier......Page all_32301_to_0864.cpc0153.djvu
22.1. Strong Strong Interactions......Page all_32301_to_0864.cpc0154.djvu
22.2. Grand Unification and its Paradoxes......Page all_32301_to_0864.cpc0158.djvu
22.3. Exact Solutions in Quantum Field Theory......Page all_32301_to_0864.cpc0163.djvu
22.4. Supersymmetry......Page all_32301_to_0864.cpc0167.djvu
22.5. Toward an Ultimate Theory of Nature......Page all_32301_to_0864.cpc0170.djvu
A.1. Feynman Rules......Page all_32301_to_0864.cpc0173.djvu
A.2. Polarizations of External Particles......Page all_32301_to_0864.cpc0175.djvu
A.3. Numerator Algebra......Page all_32301_to_0864.cpc0177.djvu
A.4. Loop Integrals and Dimensional Regularization......Page all_32301_to_0864.cpc0178.djvu
A.5. Cross Sections and Decay Rates......Page all_32301_to_0864.cpc0180.djvu
A.6. Physical Constants and Conversion Factors......Page all_32301_to_0864.cpc0181.djvu
Bibhography......Page all_32301_to_0864.cpc0183.djvu
Index......Page all_32301_to_0864.cpc0189.djvu