Quantum field theory intro
Graduate · Physics
Syllabus focus
Theoretical / proof-based
Pricing
Graduate-level rates are set on consultation. See the pricing page for K–12 and undergraduate rates.
Topics typically covered
Theoretical / proof-based
Canonical quantization
- Klein–Gordon and scalar field theory
- Creation/annihilation operators and Fock space
- Propagators and Wick's theorem
- Path integral quantization
- Symmetries: Noether current in field theory
Interacting theories
- Perturbation theory and Feynman rules
- Renormalization of φ⁴ theory
- Regularization: dimensional and Pauli–Villars
- Beta functions and running couplings
- Anomalies and chiral symmetry
Gauge theories
- QED: gauge fixing and photon propagator
- Spinor QED and g-2 radiative corrections (intro)
- Non-Abelian gauge theories preview
- Spontaneous symmetry breaking in QFT
- Effective field theories and power counting
Notes
Topics reflect common graduate physics core and elective syllabi at US universities. Sequencing and emphasis vary between one- and two-semester treatments.