QFT Bridge Derivations
QFT bridge derivations identify which quantum-mechanics calculations survive as direct precursors of field theory and which require new assumptions such as relativistic locality, fields, and particle creation.
Path Integrals
Section titled “Path Integrals”- Why Path Integrals
- Propagators to Path Integrals
- Reference Bridge: Path Integrals
- Free-Particle Propagator
- Semiclassical Propagator
Second Quantization and Fields
Section titled “Second Quantization and Fields”- Second Quantization: Bridge to QFT
- Reference Bridge: Second Quantization
- Harmonic Oscillator to Fields
- Mode Expansions
- Field Operators
Scattering and Effective Theories
Section titled “Scattering and Effective Theories”- QFT Bridge: S-Matrix
- QFT Bridge: Born Approximation to Tree Level
- QFT Bridge: Optical Theorem
- QFT Bridge: EFT Effective Hamiltonians
Relativistic Starters
Section titled “Relativistic Starters”- Klein-Gordon Equation Formula Card
- Dirac Equation Formula Card
- Dirac Hamiltonian
- Pauli Equation
- Spin-Statistics Preview
References
Section titled “References”- R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, 1965.
- S. Weinberg, The Quantum Theory of Fields, Volume I, Cambridge University Press, 1995.
- M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory, Westview, 1995.