相對論量子場論.第1卷-典範形式體系 (英文) 邁克爾.斯特里克蘭 9787576706574 【台灣高等教育出版社】

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書名:相對論量子場論.第1卷-典範形式體系 (英文)
ISBN:9787576706574
出版社:哈爾濱工業大學
著編譯者:邁克爾.斯特里克蘭
頁數:212
所在地:中國大陸 *此為代購商品
書號:1575947
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內容簡介

本書是《相對論量子場論》三卷本中的第1卷,介紹了經典場和典範量化方法,以便為專註于凝聚態物理學的學生使用的語言和形式論搭建一座橋樑。第1卷分為5章,具體內容包括:經典場論、自由場量子化、交互場論的量子化等。

作者簡介

邁克爾·斯特里克蘭(Michael Strickland ),美國人,肯特州立大學物理學教授。他的主要興趣是夸克-膠子等離子體物理學(QGP)和高溫量子場論(QFT)。斯特里克蘭博士發表過與QGP、量子場論、相對論流體力學和許多其他主題相關的各種主題的研究論文。此外,他還與人合著了一本關於神經網路物理學的經典著作。

目錄

Preface
Acknowledgements
Author biography
Units and conventions
1 Classical field theory
1 1 Lagrangian formalism for fields
1 2 The Klein-Gordon field
1 3 The electromagnetic field
1 4 Lorentz invariance
1 4 1 Rotations
1 4 2 Boosts
1 4 3 An example of a Lorentz-invariant quantity
1 5 Transformation of fields under Lorentz transformations
1 6 Noether's theorem
1 6 1 Implications of Noether's theorem
1 7 Applications of Noether's theorem
1 7 1 Translational invariance
1 7 2 The Klein-Gordon energy-momentum tensor
1 7 3 Angular momentum and Lorentz transformations
1 8 The Hamiltonian formalism for fields
1 8 1 Hamilton's equations for fields
References
2 Quantization of free fields
2 1 The quantum linear chain and phonons
2 1 1 Going from classical to quantum
2 1 2 Construction of the vacuum and many phonon states
2 2 Poisson brackets in classical field theory
2 3 Quantization of a free scalar field theory
2 3 1 Quantized Hamiltonian operator
2 3 2 Vacuum renormalization and normal ordering
2 3 3 A note on dimensions
2 3 4 The vacuum state
2 3 5 Single particle states
2 4 Multi-particle states and Fock space
2 5 Complex scalar fields
2 6 Quantization of a complex scalar field
2 7 Causality
2 8 Propagators
2 9 Propagators as Green's functions
References
3 Quantization of interacting field theories
3 1 Weakly-interacting scalar fields
3 2 Two examples of interacting quantum field theories
3 3 The interaction picture and Dyson's equation
3 3 1 Dyson's formula
3 4 Interactions in scalar Yukawa theory
3 5 The S-matrix
3 5 1 Example: pion decay in the scalar Yukawa model
3 6 Beyond leading-order perturbation theory
3 6 1 Wick's theorem
3 6 2 Example: nucleon–nucleon scattering in the scalar Yukawa model
3 6 3 Feynman diagrams
3 6 4 Feynman diagrams for scalar ip4 theory
3 6 5 Example: leading-order correction to the propagator
3 6 6 Wick rotation
3 7 Decay rates and cross sections
3 8 Examples using scalar Yukawa theory
References
4 Quantum electrodynamics
4 1 Classical Dirac fields
4 1 1 The Dirac equation
4 1 2 Hamiltonian density
4 1 3 Energy-momentum tensor
4 1 4 Poincare invariance and generalized angular momentum
4 2 Quantization of the Dirac field
4 2 1 The fermion field
4 3 The Feynman propagator for Dirac fields
4 4 The electromagnetic field
4 4 1 Local gauge invariance
4 4 2 Gauss'law
4 4 3 Gauge fixing
4 5 Quantization of the electromagnetic field
4 5 1 Coulomb gauge
4 5 2 Poisson (Dirac) brackets for constrained systems
4 5 3 Coulomb-gauge mode expansion
4 5 4 General Lorenz (covariant) gauge
4 5 5 The photon propagator in general covariant gauge
4 5 6 The Gupta-Bleuler method
4 6 Coupling the electron to the photon
4 6 1 Gauge invariance of the QED Lagrangian
4 6 2 Obtaining vertex functions directly from the QED Lagrangian
4 7 QED Feynman rules
4 7 1 External lines
4 7 2 Internal lines
4 7 3 Interaction vertex
4 7 4 Special rules for fermions
4 8 QED Feynman rules—Examples
4 8 1 Electron–positron scattering
4 8 2 Compton scattering
4 9 The leading-order electron–positron scattering cross section
References
5 Renormalization of quantum electrodynamics
5 1 Renormalization of quantum electrodynamics
5 2 Beta functions
5 3 Renormalizable field theories
5 4 Dimensional regularization in QED
5 5 One-loop renormalization of QED
5 5 1 Electron self-energy
5 5 2 Photon polarization
5 5 3 Electron-photon vertex
5 5 4 Summary
5 6 Schwinger–Dyson equations
5 7 Photon wavefunction renormalization
5 8 Electron wavefunction and mass renormalization

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