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 October 29
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 perturbations, scaling and renormalization. Mass dimension of fields and coupling constants. Relevant, marginal and irrelevant terms in the Effective lagrangian at low energies.
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; PS 3.1; 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 Lecture continued
19/10Additional Question and Answer session (not compulsory) in room H 211/file:///Users/anaachucarro/Desktop/web%20interface/EFT2018.html214
24/10 Midterm exam for extra credit
26/10 Problem session
31/10 Lecture cancelled. Alternative instructions have been sent by email. Higgs Mechanism (PS 20.1). Section 1 of these notes by M. Gabella, downloaded from his webpage, contains a useful introduction to non-abelian symmetries (unfortunately the figures are missing)
2/11 Non-dissipative solutions, continued. An introduction to vortices, magnetic monopoles and other topological defects. (C chapter 6, sections 1, 2.1 and 2.4).
7/11 Scattering. Another look at mass dimension, scaling and renormalization
9/11 Problem session. Note room change: Huygens 111 (confirmed)
14/11 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

27/9 Problem set 2 . Note: problem 2.2c of Peskin Schroeder is beyond the requirements for the course.

26/10 Problem set 3 . Note: deadline to hand in question 1 is extended to Friday Nov 10th

6/11 Problem set 4

Midterm exam: Tuesday 24/10, Huygens 226 09:00 - 10:45

This is a closed-book exam for 1 point of extra credit, based on the problem sheets and material covered in the first weeks of the course. It is not compulsory. You can bring a one-page (A4) summary of formulas, etc. and a calculator. For reference, here are examples from the last two years: spring 2016 midterm , spring 2017 midterm .

Final exam: Monday 16/11, Huygens 204 10:00 - 13:00