Course manual 2020/2021

Course content

The aims of this class in elementary particle physics are two-fold:

Firstly: To introduce students into the world of Feynman diagrams/calculus such that they can calculate themselves to lowest order relevant observables and notably cross sections and decay widths i.e. lifetimes. To provide students with a broad understanding of the important and sometimes revolutionary past achievements as well as to sketch the outstanding challenges.
After the introduction of the main observables in elementary particle physics such as cross sections and lifetimes, the Feynman calculus of these observables is introduced by means of an admittingly unrealistic “toy” theory. Subsequently the Dirac equation and thereby Quantum Electro Dynamics (QED) are introduced in detail. QED is the most successful relativistic field theory allowing to calculate several observables to an astonishing precision. Using QED, crucial processes such as electron-positron annihilation into a pair of muons (e+e-®m+m-) are calculated. Next the Weak interaction (Quantum Flavour Dynamics, QFD) is introduced with ample attention paid to the most mysterious particle known to date: the neutrino. Also the carriers of the Weak interaction, the W- and Z-boson, are discussed. Finally QED and QFD are put together to yield the Electro-Weak theory in which the Higgs mechanism and thereby the recently discovered Higgs boson plays a crucial role.

Secondly: Throughout connections with experiment and experimental techniques are elucidated upon and the remaining outstanding challenges are identified.

Another pillar of elementary particle physics theory, the theory of strong interactions or Quantum Chromo Dynamics (QCD) will not be explained in the same detail as QED and QCD.

Study materials

Literature

  • Recommended: M. Thomson, 'Modern Particle Physics', Cambridge University Press, 2013.

Objectives

  • fluent in relativistic kinematics (boosts, invariant masses, Mandelstam variables, etc.)
  • knows concepts such as a particles lifetime/decay-width as well as scattering cross section. And associated and important ingredients as phase-space and flux factors
  • basis understanding o fthe Klein-Gordon equation
  • good understanding of the Dirac equation, spinors, helicity
  • core of the course: calculation of amplitudes using Feynman rules of various Quantum ElectroDynamics (QED) processes
  • features of the weak interaction: parity violation
  • knowledge of the W- and Z-bosons and the role they play in various scattering processes
  • appreciation of the role of the Higgs particle
  • have some idea of the major outstanding features in particle physics! 

Teaching methods

  • Hoorcollege
  • Werkcollege
  • Zelfstudie

Core: lectures and (essential) exercise sessions (time-wise: 50:50)

 

Learning activities

Activiteit

Aantal uur

Hoorcollege

28

Tentamen

3

Werkcollege

26

Zelfstudie

111

Academic skills

creativity i.e. being able to think outside the box

calculational experience i.e. being able to perform a complete calculation and being able to confront an experimental result (measurement) with atheoretical calculation.

 

Attendance

Programme's requirements concerning attendance (TER-B):

  • Each student is expected to participate actively in each component of the programme that he/she signed up for. A student that does not attend the first two seminars of a course, will be administratively removed from the seminar group. A request for reregistration for the seminars can be applied to the programme coordinator.
  • If a student cannot attend an obligatory component of a programme's component due to circumstances beyond his control, he must report in writing to the relevant teacher as soon as possible. The teacher, if necessary after consulting the study adviser, may decide to issue the student a replacing assignment.
  • It is not allowed to miss obligatory commponents of the programme if there is no case of circumstances beyond one's control.
  • In case of participating qualitatively or quantitatively insufficiently, the examiner can expel a student from further participation in the programme's component or a part of that component. Conditions for sufficient participation are set down in advance in the course manual.
  • In addition to the above mentioned rules, in the first semester of the first year a student should be present in at least 80% of the seminars. Moreover, participation to midterm tests and obligatory homework is required. If the student does not comply with these obligations, the student is expelled from the resit of this course. Students in the double Bachelor's degree programme Mathematics and Physics are exempted from this requirement. In case of personal circumstances, as described in OER-A Article A-6.4, a different study plan will be made in consultation with the study advisor.

Additional requirements for this course:

To be honest: I think the best way to pass this course is to attend the lectures, to actively participate in the exercise sessions and (most important) to hand-in the homework assignments. And equally important: to read (=study) the relevant chapters/sections in Tompson's book. Do not get fooled: the only way to really master this subject is to make many exercises. That way you will experience the difficulties hand-on ...

Assessment

Item and weight Details

Final grade

1 (100%)

Tentamen

Bonus points: handing in worked-out solutions of the assigned problem (1 week before) on these dates:
-Friday 12 February
-Friday 19 February
-Friday 26 February
-Friday 5 March
-Friday 12 March
Average of best four is taken as ‘BP’
Exam: Tuesday 23 March gives ‘EX’ & must be at least 5.5
Final score: max(EX, 0.2BP+0.8EX) rounded to nearest (½) integer

Inspection of assessed work

Contact your supervisor to make an appointment for inspection.

Assignments

5 homework assignments

Fraud and plagiarism

The 'Regulations governing fraud and plagiarism for UvA students' applies to this course. This will be monitored carefully. Upon suspicion of fraud or plagiarism the Examinations Board of the programme will be informed. For the 'Regulations governing fraud and plagiarism for UvA students' see: www.student.uva.nl

Course structure

Weeknummer Onderwerpen Studiestof
1 Overview  
2 Units, relativity, lifetime, cross-section, Fermi' Golden Rule  
3 Klein-Gordon equation: Feynman rules  
4 Dirac equation: gamma matrices, spinors, spin, Feynman rules  
5 Symmetries in particle physics  
6 Weak interaction  
7 Weak interaction: Z, W  
8 Higgs and summary, question hour  

 

Timetable

The schedule for this course is published on DataNose.

Additional information

Recommended prior knowledge: Bachelor courses in special relativity, classical electromagnetism and quantum mechanics.

Processed course evaluations

Below you will find the adjustments in the course design in response to the course evaluations.

Contact information

Coordinator

  • prof. dr. ir. Paul de Jong