Introduktion till kvantfältteori
Introduction to Quantum Field Theory
EXTP30, 7,5 credits, A (Second Cycle)
Valid for: 2013/14
Decided by: Education Board B
Date of Decision: 2013-04-10
Elective for: F5
Language of instruction: The course will be given in English
The overall purpose of the course is that the student should
acquire the theoretical concepts, based on quantum mechanics and
special relativity, that are needed in order to describe
relativistic elementary particles and their interactions.
Knowledge and understanding
For a passing grade the student must
- have command of the basics of the Hamilton and Lagrange
formulations of classical field theory as well as the relation
between symmetries of the Lagrange density and conservation
- have insight about the importance of formulating theories in a
Lorentz invariant way as well as how this manifests itself for
different kinds of fields and other representations of the Lorentz
- have command of the Klein-Gordon and Dirac equations and their
symmetry properties as well as properties of the solutions to
- understand how scalar and Dirac fields are quantized and be
able to use these to calculate conserved quantities such as energy
- understand what a propagator represents and how its properties
are related to causality as well as how it can be used to describe
how a particle moves through space-time.
- understand how currents and densities can be formed from
different combinations of Dirac and Klein-Gordon fields.
- be able to describe how the fields and the creation and
annihilation operators are transformed under charge conjugation,
parity and time reversal.
- understand the basic notion of perturbation theory and the
meaning of asymptotic states as well as the definition of
cross-section and decay width.
- have command of the perturbative expansion of correlations
functions as well as scattering and decay processes and how these
calculations can be simplified by the use of Feynman diagrams both
for bosons and fermions.
- have command of the Feynman rules of simple theories such as
Yukawa theory and quantum electrodynamics as well as understanding
how these rules can be derived from the Lagrange density.
- be able to perform simple calculations of tree-level processes
such as electron positron scattering and Compton scattering as well
as being able to relate different processes using crossing
- have insight into how the theory can be reformulated in a
consistent way in order to include processes with higher order
- Classical field theory
- Lorentz covariance
- Dirac and Klein-Gordon fields
- Perturbation theory
- Quantum electrodynamics
- Radiative corrections
Grading scale: TH
Assessment: Hand-in assignments and oral examination.
- FMFN01 Quantum Mechanics, Advanced Course 1.
Required prior knowledge: FMFN10 Quantum Mechanics, Advanced Course 2 or EXTP25 Theoretical Particle Physics.
The number of participants is limited to: No
- M. E. Peskin and D. V. Schroeder: An Introduction to Quantum Field Theory. 1995, ISBN: 0201503972.
Contact and other information
Course coordinator: Johan Rathsman, firstname.lastname@example.org
Course homepage: http://www.thep.lu.se/english/education/courses/introduction_to_quantum_field_theory/
Further information: The course is given by the Faculty of Science (FYTN10) and does not follow the study period structure.