Postgraduate Course: Quantum Chromodynamics (PGPH11096)
|School||School of Physics and Astronomy
||College||College of Science and Engineering
|Credit level (Normal year taken)||SCQF Level 11 (Postgraduate)
||Availability||Available to all students
|Summary||The first part of the QCD course builds upon the knowledge acquired in Relativistic QFT to compute tree-level cross sections, and applies it to collider physics applications. The second part of the course lays the foundations of Lattice QCD.
- Local gauge invariance, QCD Lagrangian, Feynman rules.
- Colour algebra, colour Fierz identity, the double-line notation, the large Nc limit
- Spinor helicity method; tree-level amplitudes; recursion relations.
- The beta function and the running coupling constant.
- e+e- annihilation to hadrons: total cross sections; jet cross sections; infrared safety, event shape variables.
- Deep inelastic scattering structure functions, collinear factorization, parton density functions, splitting functions, scaling violation and the Altarelli-Parisi equations.
- Drell-Yan and Higgs production.
- Why we need non-perturbative methods in QCD [large coupling and RG argument for hadron masses].
- Relation between QM in imaginary time and equilibrium statistical mechanics, the transfer matrix.
- Scalar fields on the lattice: action, classical continuum limit, path integral for free lattice scalar field, the "boson determinant", continuum limit obtained at continuous phase transitions, universality.
- Fermion fields on the lattice: naive+doubling, Wilson, staggered, Nielsen-Ninomiya theorem, domain-wall/overlap/Ginsparg-Wilson. Fermion path integral, fermion determinant, pseudofermions.
- Gauge fields on the lattice: Wilson action, classical continuum limit, strong coupling expansion - string tension and glueball masses. Inclusion of fermions - hopping parameter expansion. Weak coupling expansion, lambda parameters. (Anomalies?)
- QCD on the lattice: two-point hadron correlators -» masses and decay constants; three-point hadron correlators -» matrix elements, form factors. Examples: semileptonic decays, neutral kaon mixing.
- Numerical techniques: Markov Chain Monte Carlo - Metropolis-Hastings for pure QCD (and quenched approximation); Hybrid Monte Carlo for full QCD. Critical slowing down in continuum and chiral limits - topological charge.
Information for Visiting Students
|High Demand Course?
Course Delivery Information
|Academic year 2015/16, Available to all students (SV1)
|Learning and Teaching activities (Further Info)
Lecture Hours 22,
Seminar/Tutorial Hours 20,
Summative Assessment Hours 2,
Revision Session Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
|Assessment (Further Info)
|Additional Information (Assessment)
||Comments on returned coursework. Interaction at workshops.
||Hours & Minutes
|Main Exam Diet S2 (April/May)||2:00|
On completion of this course, the student will be able to:
- Know the field theoretical formulation of QCD, the theory of the strong interactions.
- Be able to compute tree-level processes in QCD using Feynman diagram techniques.
- Be able to apply these methods to analyse scattering processes within QCD, including understanding of infrared safety and collinear factorization.
- Understand the need for a non-perturbative formulation of QCD and way this is accomplished by the lattice regularization of the theory.
- Be able to compute in the strong and weak coupling expansions and appreciate the need for numerical methods.
|Graduate Attributes and Skills
|Course organiser||Prof Anthony Kennedy
Tel: (0131 6)50 5272
|Course secretary|| Yuhua Lei
Tel: (0131 6) 517067
© Copyright 2015 The University of Edinburgh - 18 January 2016 4:37 am