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相对论量子场论:英文:第1卷:Volume 1:典范形式体系:Canonical formalism 版权信息
- ISBN:9787576706574
- 条形码:9787576706574 ; 978-7-5767-0657-4
- 装帧:平装-胶订
- 册数:暂无
- 重量:暂无
- 所属分类:>>
相对论量子场论:英文:第1卷:Volume 1:典范形式体系:Canonical formalism 内容简介
本书是一部影印版的物理学专著,中文书名可译为《相对论量子场论.第1卷,典范形式体系》。 本书作者为迈克尔.斯特里克兰(Michael Strickland),美国人,肯特州立大学物理学教授。他的主要兴趣是夸克一胶子等离子体物理学(QGP)和高温量子场论(QFT).斯特里克兰博士发表过与QGP、量子场论、相对论流体力学和许多其他主题相关的各种主题的研究论文。此外,他还与人合著了一本关于神经网络物理学的经典著作。
相对论量子场论:英文:第1卷:Volume 1:典范形式体系:Canonical formalism 目录
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
5.9 Vertex renormalization
5.10 The renormalized QED Lagrangian
5.11 The one-loop QED running coupling
References
Appendices
A Classical mechanics review
B Functionals and functional derivatives
C Tensor algebra
D Mandelstam variables
编辑手记
展开全部
相对论量子场论:英文:第1卷:Volume 1:典范形式体系:Canonical formalism 作者简介
迈克尔·斯特里克兰(Michael Strickland ),美国人,肯特州立大学物理学教授。他的主要兴趣是夸克-胶子等离子体物理学(QGP)和高温量子场论(QFT)。斯特里克兰博士发表过与QGP、量子场论、相对论流体力学和许多其他主题相关的各种主题的研究论文。此外,他还与人合著了一本关于神经网络物理学的经典著作。
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