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PHYS 583

Quantum Field Theory I

Quantum field theory is where quantum mechanics and special relativity finally fit together, treating particles as excitations of underlying fields rather than as standalone objects — this first semester builds that machinery from the ground up, starting with Klein-Gordon and Dirac equations and working toward the canonical quantization of free fields. You'll spend most of your time on five problem sets grinding through Lorentz group representations, spinor algebra, and Noether currents, with two midterms and a final checking that the formalism actually sticks. It's the gateway course for anything in high-energy or theoretical physics — Maggiore is the textbook, and QFT II picks up where this leaves off with interactions, renormalization, and the diagrams that make QED predictive.

Credit3ECTS5FacultyFaculty of ScienceBölümPhysics

Değerlendirme 100% — 4 adım

25%
25%
30%
20%
Midterm MT1, MT2 50%
Final Final 30%
Homework Assihnment 20%

Önerilen kaynaklar 1 kitap

📕
Zorunlu
A Modern Introduction to Quantum Field Theory
Michele Maggiore
25 November 2004 · Oxford Master Series in Physics

Haftalık müfredat 14 hafta

Hafta 1
Broad Overview of Quantum Field Theory: Why do we need QFT? Indistinguishability and field nature, effective theories
Hafta 2
Quantum Field Theory in Context: Overview of QED, Weak Interactions, and QCD, Example: g-factor of the electron and the Lamb shift
Hafta 3
Quantum Chromodynamics and Yang–Mills Theory: Gauge principles and color charge and gluon interactions
Hafta 4
Weak Interactions and Higgs Mechanism: Spontaneous symmetry breaking, Higgs field, and mass generation
Hafta 5
Relativistic Wave Equations (Part I): Relativity and notation, Klein–Gordon equation and solutions
Hafta 6
Relativistic Wave Equations (Part II): Dirac equation and matrices, Negative probabilities, Zitterbewegung, coupling to EM fields
Hafta 7
Gauge Covariant Derivative and Non-relativistic Limit: Gauge coupling and field transformations
Hafta 8
Lorentz and Poincaré Transformations I: Classification of Lorentz subgroups, Dirac spinor under Lorentz transformations
Hafta 9
Lorentz and Poincaré Transformations II: Dirac bilinears, discrete symmetries, and group-theoretical remarks
Hafta 10
Field Representations: Scalar, Weyl, Dirac, Majorana, and vector fields
Hafta 11
The Poincaré Group: Representations on fields and one-particle states, Massless representations
Hafta 12
Classical Field Theory and the Action Principle: Poisson brackets and non-Abelian actions
Hafta 13
Symmetry and Conservation Laws: Energy-momentum tensor, angular momentum density, and Noether’s theorem
Hafta 14
Quantization of Fields: Quantization of free scalar fields, mode expansion, Fock space, Exact solution of the hydrogen atom in Dirac’s theory and course review

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