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THÔNG TIN TÀI LIỆU
Cấu trúc
Basics of Quantum Field Theory
Special relativity
Free scalar fields, Mode decomposition
Interacting scalar fields
LSZ reduction formulas
From transition amplitudes to reaction rates
Generating functional
Perturbative expansion and Feynman rules
Calculation of loop integrals
Källen-Lehmann spectral representation
Ultraviolet divergences and renormalization
Spin 1/2 fields
Spin 1 fields
Abelian gauge invariance, QED
Charge conservation, Ward-Takahashi identities
Spontaneous symmetry breaking
Perturbative unitarity
Functional quantization
Path integral in quantum mechanics
Classical limit, Least action principle
More functional machinery
Path integral in scalar field theory
Functional determinants
Quantum effective action
Two-particle irreducible effective action
Euclidean path integral and Statistical mechanics
Path integrals for fermions and photons
Grassmann variables
Path integral for fermions
Path integral for photons
Schwinger-Dyson equations
Quantum anomalies
Non-Abelian gauge symmetry
Non-abelian Lie groups and algebras
Yang-Mills Lagrangian
Non-Abelian gauge theories
Spontaneous gauge symmetry breaking
theta-term and strong-CP problem
Non-local gauge invariant operators
Quantization of Yang-Mills theory
Introduction
Gauge fixing
Fadeev-Popov quantization and Ghost fields
Feynman rules for non-abelian gauge theories
On-shell non-Abelian Ward identities
Ghosts and unitarity
Renormalization of gauge theories
Ultraviolet power counting
Symmetries of the quantum effective action
Renormalizability
Background field method
Renormalization group
Callan-Symanzik equations
Correlators containing composite operators
Operator product expansion
Example: QCD corrections to weak decays
Non-perturbative renormalization group
Effective field theories
General principles of effective theories
Example: Fermi theory of weak decays
Standard model as an effective field theory
Effective theories in QCD
EFT of spontaneous symmetry breaking
Axial anomalies in a gauge background
Generalizations
Wess-Zumino consistency conditions
't Hooft anomaly matching
Scale anomalies
Localized field configurations
Domain walls
Skyrmions
Monopoles
Instantons
Modern tools for tree level amplitudes
Shortcomings of the usual approach
Colour ordering of gluonic amplitudes
Spinor-helicity formalism
Britto-Cachazo-Feng-Witten on-shell recursion
Tree-level gravitational amplitudes
Cachazo-Svrcek-Witten rules
Worldline formalism
Worldline representation
Quantum electrodynamics
Schwinger mechanism
Calculation of one-loop amplitudes
Lattice field theory
Discretization of bosonic actions
Fermions
Hadron mass determination on the lattice
Wilson loops and confinement
Gauge fixing on the lattice
Lattice worldline formalism
Quantum field theory at finite temperature
Canonical thermal ensemble
Finite-T perturbation theory
Large distance effective theories
Out-of-equilibrium systems
Strong fields and semi-classical methods
Expectation values in a coherent state
Quantum field theory with external sources
Observables at LO and NLO
Green's formulas
Mode functions
Multi-point correlation functions at tree level
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Ngày đăng: 31/05/2022, 14:30
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