Starting week 38, 2023 – every Tuesday from 10am - 12pm in room B1 – ending week 44, 2023
This course will consist of an introduction to Galilean non-relativistic effective field theory methods
and applications for few- and many-particle systems. The course is intended as a stand-alone
introduction to the physics of systems of non-relativistic particles that interact via arbitrary short-distance
forces. While quantum field theory methods will center prominently, essential field-theoretic methods
(for example, regularization and renormalization) will be developed as they are required. Likewise, the
physics and phenomenology of nuclear and atomic systems, that will form the majority of the applications,
will be built up and developed from scratch, as will the physics of some of the more non-standard examples
and systems that are considered. The basic prerequisite is graduate-level quantum mechanics. There will be
weekly problem sets that are closely coupled to the course development.
Learning results of the course:
Upon successful completion of the course, students should expect to be familiar with the most general
way of thinking about the interactions of non-relativistic quantum systems involving particles interacting via
arbitrary short-range forces. This methodology provides a unified effective field theory treatment of two- and
three-body scattering systems, as well as of many-body systems which may experience Bose-Einstein
condensation and superfluidity/superconductivity. Thus, this course provides, in some sense, essential knowledge
for graduate students interested in theoretical research in modern nuclear and atomic physics. In addition, given
the universality of the effective field theory language, this course will also provide valuable exposure to the core
technology that forms the basis of modern particle physics.
Lecturer:
Silas Beane