Statistical Field Theory

Module description

This course applies the methods of quantum Field theory (QFT) and renormalisation group to problems in quantum and classical many-body physics. The module will introduce students to profound ideas such as universality, and the use of Wilsonian renormalisation methods to provide quantitative predictions for the behaviours of both classical and quantum many-body systems (including magnets and superfluids). These methods form the basis of our modern understanding of the notion of "phase of matter", and the module will touch on wider applications in the study of high-energy physics, and non-equilibrium phenomena

 

Learning outcomes

Upon successfully completing this module, students will be able to

1. Formulate many-body statistical mechanics in terms of functional integrals.

2. Apply a systematic understanding of mean-Field theory, upper- and lower-critical dimension to relevant systems.

3. Identify and demonstrate the idea of universality i.e., why the same mathematical theories describe a wide range of physical systems.

4. Perform the simplest Wilsonian renormalisation group calculations (e.g., ?4).

5. Formulate stochastic differential equations using the Martin-Siggia-Rose(MSR) Field theory formalism.

6. Identify and apply the most relevant tools introduced in the module to unfamiliar systems, analysing the potential and limitations of such tools.

Assessment details

Details of the module's assessment/s

May Exam 100%

Please note: - module assessment may be subject to change. If you have any questions, please contact ug-physics@kcl.ac.uk

Teaching pattern

Lectures (hrs) 20 Seminars / Tutorials (hrs) 10 

Module description disclaimer

King’s College London reviews the modules offered on a regular basis to provide up-to-date, innovative and relevant programmes of study. Therefore, modules offered may change. We suggest you keep an eye on the course finder on our website for updates.

Please note that modules with a practical component will be capped due to educational requirements, which may mean that we cannot guarantee a place to all students who elect to study this module.

Please note that the module descriptions above are related to the current academic year and are subject to change.