### Course Meeting Times

Lectures: 2 sessions / week, 1.5 hours / session

### Description

This course is the third and last term of the quantum field theory sequence. Its aim is the proper theoretical discussion of the physics of the standard model.

### Prerequisite

8.324 (Quantum Field Theory II)

### Grading

Your grade will be based on problem sets to be given out roughly every 2 weeks. There are no exams.

### Textbooks and References

The required textbook is:

Peskin, Michael E., and Daniel V. Schroeder. *An Introduction to Quantum Field Theory (Frontiers in Physics)*. New York, NY: HarperCollins Publishers, 1995. ISBN: 9780201503975. (Corrections page: *An Introduction to Quantum Field Theory*.)

Please see the readings page for other recommended texts.

### Subjects and Topics

#### 1. Introduction to the Standard Model

Fields, particle content, and symmetries.

#### 2. Renormalization Group

Wilsonian flow and fixed points. Renormalization group equations and anomalous dimensions. β & γ-functions in the standard model (SM) scheme. Quantum chromodynamics (QCD) β-function and asymptotic freedom. Renormalization of composite operators.

#### 3. Spontaneous Symmetry Breaking

Review of Goldstone’s theorem. The σ-model and chiral symmetry breaking in QCD. Pions as goldstone bosons. Standard model Higgs mechanism and electroweak gauge symmetry.

#### 4. Flavor Sector

Cabibbo-Kobayashi-Maskawa (CKM) matrix, flavor & mass eigenstates. Weak interactions, flavor-changing neutral currents & Glashow-Iliopoulos-Maiani (GIM) mechanism. CP-violation in Kaon and B-decays. Heavy quark symmetry. Dirac & Majorana Neutrinos. See-Saw mechanism.

#### 5. Collider Phenomenology (Large Hadron Collider (LHC))

Standard model Higgs production and decay. Parton distribution functions and deep inelastic scattering. Jets in QCD. Infrared safety.

#### 6. Anomalies

Global anomalies, triangle diagrams, symmetries of the path-integral. Anomalies in chiral gauge theory. Index theorem and zero-modes. π^{0} → γγ.

#### 7. Topological Sectors in Gauge Theory and Instantons

Large gauge transformations,θ-vacuua, Instantons and U(1)_{A} breaking.

#### 8. Confinement and Lattice QCD

Wilson loops, area law for confinement. Lattice action for gluons. Strong coupling expansion. Fermions on the lattice.

#### 9. Standard Model Problems

Naturalness and hierarchy problem. SU(5) and grand unified theories. Coupling unification and supersymmetry. Proton decay.