DEPARTMENT OF PHYSICS AND ASTRONOMY  (202) 8066245 (main office), 5830 (fax)
Theoretical Physics 1 (21623801) MW 3^{00}4^{30} pm;
Office hrs.: MW 3  5, and by appointment (at least one day ahead, confirmed)
[Topics][Daily Schedule][Minimal Requirements][Assignments][eGear][Welcome]
Component

Due time

Remark

% of Grade


Homework  See in daily schedule  Late HW = 0 credit !!! 
3 x 20%

Term project and presentation  End of class  25 min. + 10 min. questions 
40%

The aim of the course is to give a brief but uncompromising introduction to Quantum Field Theory, some of the basic computational methods and techniques and to serve as a preparatory course for the second part (21623901), studying constrained models and supersymmetry. We begin with reviewing the necessity of passing from a quantum particle to quantum fields. The study of free spin0 and 1/2 quantum fields will establish the basic formalism and introduce the perturbative approach to interactive field theory. This leads to a detailed study of renormalization, and a cursory inspection of socalled anomalies.
A successful student is expected to demonstrate a very good understanding of the fundamental principles of quantum field theory, but also to demonstrateand maintainthe ability to solve practical problems involving quantum fields. For minimal requirements, see below!
“Success = 1% inspiration + 99% perspiration”T.A. Edison
Topical schedule:
We will cover the following material: (*** = fully, ** = partially, * = skim)
Daytoday schedule: Students are required to read ahead and discuss in class!
Last year's schedule; will be modified soon.
08/24: Introductory matters
08/26: The need for fields, §1
08/28: From classical to quantum (scalar) fields, §2.12.3
08/31: Quantum (scalar) fields in spacetime, §2.4
09/02: The Dirac equation, §3.13.4
09/07: Observed Holiday: Labor Day
09/09: Quantum Dirac spinors, §3.53.6
09/14: Covariant perturbation theory & Feyman diagrams, §4.14.3
09/16: Feynman diagrams & the Smatrix, §4.44.5 [HW#1 due]
09/21: Smatrix elements from Feynman diagrams, §4.64.8
09/23: e^{+}e^{} > µ^{+}µ^{}, and e^{+}e^{} > (hadrons) processes §5.15.3
09/28: Mandelstam variables, the KleinNishina formula, §5.45.5
09/30: Bremsstrahlung, the electron vertex & IR divergences, §6.16.5
10/05: The fieldstrength & charge renormalization, optical theorem & WardTakashi identity, §7.17.5
10/07: UV divergences and cutoffs, §8
10/12: Observed Holiday: Columbus Day
10/14: Functional quantization of scalar fields, Quantum field theory vs. statistical mechanics §9.19.3
10/19: Quantization of the spin1/2 and spin1 fields & symmetries §9.49.6 [HW#2 due]
10/21: Counting (grading) of UV divergences, §10.1
10/26: Renormalized perturbation theory, §10.210.5
10/28: Spontaneous symmetry breaking §11.1
11/02: Renormalization and symmetry, §11.2
11/04: The effective action, §11.311.5
11/09: Renormalization and symmetry (again), §11.6
11/11: Wilson's renormalization theory, CallanSymanzik equation §12.112.2
11/16: The evolution of coupling (non)constants, §12.3 [HW#3 due]
11/18: Renormalization of local operators, evolution of mass parameters §12.412.5
11/23: The axial current in two and four spacetime dimensions, §19.119.2
11/25: Goldstone bosons, chiral symmetries & anomalies, anomalous scalenoninvariance §19.319.5
11/30: presentations
12/02: presentations
Minimum requirements:
To pass the course with a grade B or better, a graduate Student must at the time of the presentation of the term project be able to demonstrate the ability to:
A graduate student who cannot demonstrate the above listed skills at the time of the presentation of the term project automatically forfeits a grade of B or better  regardless of the total number of points acquired in homework, and regardless of the success in completing any other course requirement.
Homework assignments
All homework assignments are due by 5:00 pm of the day indicated and should be either given to the instructor in hand, left in the instructor's mailbox in TKH#105, or slid under the instructor's office door, TKH#213. Late homework will not be accepted, except in cases of proven (medical) emergency.
Collaboration policy
Collaboration  but not blind copying  on the homework and term paper assignments is strongly encouraged; students should use this to learn from each other. However, each student must demonstrate a good understanding of the presentation topic  at the presentation. Failure to do so would imply covered under University regulations on academic dishonesty and cheating.
Coursework presentation and organization
While a neat presentation of homework is not required for full credit, it certainly makes it easier to assess the quality of the work and give the proper credit due. In all cases, include a simple sketch if it might help conveying the approach or the calculations. Where necessary, include: all units and complete symbols, such as the precise measure and limits of an integral, etc., and references for all quoted and cited material.
© Tristan Hübsch, 2000