EFFECTIVE FIELD THEORY

Fall 2017

Instructor:
Ana Achúcarro, Oort 269, ext. 5518,
email: achucar (at) lorentz.leidenuniv.nl

Teaching assistants:
Valeri Vardanyan, Oort 272, ext. 5515
email: Vardanyan (at) lorentz.leidenuniv.nl
Maksym Ovchinnikov, Huygens 124
email: Ovchynnikov (at) lorentz.leidenuniv.nl

Recommended literature:
(PS) M.E. Peskin and D.V. Schroeder, An introduction to Quantum Field Theory, Addison-Wesley 1995
(T) D. Tong's Quantum Field Theory, lecture notes

Also recommended
(vN) W.L.G.A.M. van Neerven's Quantum Field Theory lecture notes, reproduced with his permission.
(Z) A. Zee, Quantum Field Theory in a Nutshell, Princeton University Press 2003
(C) S. Coleman, Aspects of Symmetry, Cambridge University Press 1985

Timetable:

Lectures and problem sessions (werkcolleges) are mixed, on most Tuesdays at 9:00 - 10:45 and Thursdays 13:30 - 15:15 in room H226. There are exceptions so please check below for possible room and time changes. The problem sessions are interactive. The material covered in the problems constitutes an essential part of the programme.

Office hours: to be determined directly with the students

DateContents (tentative - make sure to check again later). Version updated on September 16
7/9, 12/9, 14/9 Introduction: effective field theories, classical and quantum. Relativistic (classical) field theory. Lagrangian formulation. An important example: the electromagnetic field. Gauge potential. Scalar fields (real, complex). (T 1.1). A first look at perturbation theory, scattering, scaling and renormalization.
19/9 No class. Physics Science Day
21/9 Problem session.
26/9, 28/9 Symmetries and conservations laws. Classical symmetries, examples. Spacetime and internal symmetries. The Lorentz group. Active and passive transformations. Conserved charges/currents. Noether's theorem. Energy-momentum tensor (PS 2.1-2.2; T 1.2, 1.3)
3/10 No class (Leidens Ontzet)
5/10 Problem session
10/10, 12/10 Spontaneous symmetry breaking. Landau Theory. Goldstone's theorem. (PS 11.1) Introduction to non-dissipative solutions (kinks, domain walls).
17/10 Problem session
19/10 No class
24/10 Midterm exam for extra credit
26/10 Scattering. Another look at mass dimension, scaling and renormalization
31/10 Higgs Mechanism (PS 20.1).
2/11Problem session.
7/11 Non-dissipative solutions, continued. An introduction to vortices, magnetic monopoles and other topological defects. (C chapter 6, sections 1, 2.1 and 2.4).
9/11 Problem session. Note possible room change: SN 312 (to be confirmed)
11/11 Final review. Question and answer session. Fields, again. What next: from EFT to QFT.

Problem sheets

pdf files with the problems will be downloadable a few days before the problem sessions.

9/9 Practice problem set

16/9 Problem set 1

Final exam: Monday 13/11, Huygens 204 10:00 - 13:00