| 摘要 | 第1-5页 |
| Abstract | 第5-10页 |
| Chapter 1 Introduction to ProtonCompton Scattering | 第10-22页 |
| ·The Polarizabilities | 第12-15页 |
| ·Sum Rules | 第14-15页 |
| ·The Dispersion Theory Approach to Proton Compton Scattering | 第15-18页 |
| ·The Effective Field Theory Approach to Proton Compton Scattering | 第18-21页 |
| ·Rarita-Schwinger Spin 3/2 Theory | 第18-19页 |
| ·A Modified Rarita-Schwinger Theory for Spin 3/2 | 第19-20页 |
| ·Examples of Effective Field Theory Approach | 第20-21页 |
| ·Motivations of Our Work | 第21-22页 |
| Chapter 2 Proton Compton Scattering InUniifed Proton-A^ Model | 第22-40页 |
| ·Introduction | 第22-23页 |
| ·Electromagnetic Interaction | 第23-26页 |
| ·Non-Minimal Electromagnetic Interactions | 第23-25页 |
| ·Bare Polarizabilities Effective Lagrangian | 第25-26页 |
| ·Magnetic Moments and the γN△~+ Transition Matrix | 第26-27页 |
| ·The Compton Scattering Cross Section | 第27-32页 |
| ·Amplitudes at the △~+ Pole | 第31-32页 |
| ·△~+→p+γ Decay Width | 第32-33页 |
| ·Fitting Data | 第33-38页 |
| ·Discussion and Conclusion | 第38-40页 |
| Chapter 3 Introduction to Gauge FieldScattering Amplitudes | 第40-60页 |
| ·Color Decomposition | 第44-46页 |
| ·Spinor Techniques | 第46-47页 |
| ·MHV Amplitudes and the CSW Rule | 第47-49页 |
| ·The Berends-Giele Recursion Relation | 第49-50页 |
| ·The BCFW Recursion Relation | 第50-54页 |
| ·The BCFW Recursion Relation in QCD with Massive Dirac Fields | 第52-53页 |
| ·BCFW Recursion Relation for Gauge Field Current | 第53-54页 |
| ·Amplitude Relations | 第54-56页 |
| ·Recent Developments:Amplitudes and Positive Grassmannian | 第56-58页 |
| ·Motivations for Our Work in Gauge Field Amplitudes | 第58-60页 |
| Chapter 4 Boundary Behaviors forGeneral Off-shell Amplitudes inYang-Mills Theory | 第60-92页 |
| ·Introduction | 第60-61页 |
| ·Recursion Relation for General Off-shell Amplitudes | 第61-70页 |
| ·Applications | 第66-70页 |
| ·Amplitudes with Reduced Vertexes | 第70-79页 |
| ·Reduced Vertexes | 第72-76页 |
| ·Application | 第76-79页 |
| ·Amplitudes with Non-adjacent BCFW Shifts | 第79-89页 |
| ·Permutation Sums | 第79-83页 |
| ·O(z~1)Behavior of the Amplitudes in the Large z Limit under Non-adjacent BCFW Shifts | 第83页 |
| ·O(z~0)Behavior of the Amplitudes in the Large z Limit under Non-adjacent BCFW Shifts | 第83-84页 |
| ·O(z~(-1))Behavior of the Amplitudes in the Large z Limit under Non-adjacent BCFW Shifts | 第84-87页 |
| ·Example | 第87-89页 |
| ·Conclusion | 第89-92页 |
| Chapter 5 Ward Identity ImpliesRecursion Relation at Tree and LoopLevels | 第92-114页 |
| ·Introduction | 第92-93页 |
| ·The Ward Identity and Implied Recursion Relation at Tree-Level | 第93-99页 |
| ·Proof of The Ward Identity at Tree-Level | 第93-96页 |
| ·Recursion Relation for Tree-Level Off-Shell Amplitudes | 第96-99页 |
| ·Ward ldentity and Implied Recursion Relation at One-loop Level | 第99-112页 |
| ·Proof of the Ward Identity at One-Loop Level | 第100-102页 |
| ·Recursion Relation for Loop-Level OfF-Shell Amplitudes | 第102-106页 |
| ·Examples of 1-loop Off Shell Amplitudes | 第106-112页 |
| ·Conclusion | 第112-114页 |
| Chapter 6 Conclusion and Outlook | 第114-116页 |
| Bibliography | 第116-128页 |
| Publications | 第128-130页 |
| Acknowledgement | 第130-131页 |
