JS & SS Mathematics )

**Requirements/prerequisites:** 241, 441 at least concurrently.

**Duration:** 21 weeks

**Number of lectures per week:** 3

**Assessment:** Regular assignments

**End-of-year Examination:** One 3 hour
examination

**Description: **This is a course in mathematical
methods in theoretical particle physics. There will be three main
sections. The first will be a description of the Lorentz and Poincare
groups and their representations. The next part of the course will
concentrate on differential geometry with an introduction to homology
and cohomology groups. The final part of the course will deal with
Lie groups and Lie algebras and their classification. There will be a
discussion of the application of this to global and local symmetries in
particle physics.

More detailed information, problems
sheets and notes are available at

`http://www.maths.tcd.ie/~houghton/445.html`.

**
Objectives:** This course aims to introduce the mathematical methods
that are important in theoretical particle physics.

**Textbooks:**

- C. Nash and S. Sen, Topology and Geometry for Physicists
- M. Nakahara, Geometry, Topology and Physics
- J.E.Cornwell, Group Theory in Physics, Vols I and II
- Howard Georgi, Lie Algebras in Particle Physics
- Wu-Ti Tung, Group Theory in Physics

Oct 9, 2001

File translated from T

On 9 Oct 2001, 12:48.