Quantum Field theory 2- Syllabus

 Instructor

Jacob Sonnenschein

Email :cobi@post.tau.ac.il

Academic Year, Semesters

[Msc first year one semester]

Number of Hours/ Credits

[4 weekly hours]

Mandatory/Elective

[mandatory for all elementary particle physics theory]

Prerequisites

[Quantum Field theory 1

Year in program & how often given, if relevant

Given every year

  Course overview – short abstract

Yhe topics of the course are1:   Feynman rules for \phi^4 theory and QED

2   Elementary processes in QED in the tree level

 3 Loop divergences: vertex function  Feynman variables

 4: Pauli Villars and dimensional regularization. Vacuum polarization and electron self energy

5. Renormalization perturbation theory

 6 Renormalization group equation Wilson approach Callan Symanzic equation beta and gamma functions

7 :  Spontaneous symmetry breaking . Effective action

8.   Aspects of group theory. Non abelian gauge theories

 9: Non abelian gauge theories  BRST quantization

10-13 QCD. Elementary process. Loop divergences. Beta function from Calan Symanzic and from background field effective action

    [Author Name]

Learning outcomes – short description (if you don’t have LOs, then don’t write anything in this part)

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Assessment: coursework and grade structure

(for example)

Assignments – 50%

Mid exam

Final exams – 80%

Week-by-week content, assignments and reading

(for example)

Week 1:   Feynman rules for \phi^4 theory and QED Exercise I

 Week 2   Elementary processes in QED in the tree level Exercise 2

 Week 3 Loop divergences: vertex function  Feynman variables Exercise 3

 Week 4: Pauli Villars and dimensional regularization. Vacuum polarization and electron self energy  Exercise 4

 Week 5. Renormalization perturbation theory  Exercise 5

 Week 6 Renormalization group equation Wilson approach Callan Symanzic equation beta and gamma functions   Exercise 6

 Week 7 :  Spontaneous symmetry breaking . Effective action  Exercise 7

 Week 8   Aspects of group theory. Non abelian gauge theories Exercise 8

 Week 9: Non abelian gauge theories  BRST quantization Exercise 9

 Week 10-13 QCD. Elementary process. Loop divergences. Beta function from Calan Symanzic and from background field effective action  Exercise I0

  …Required text – in language of origin (if Hebrew or Arabic, no need to translate it)

Peskin Schroder ``An Introduction to Quantum Field Theory"

Bjorken Drell  QFT

Itzykson and Zuber ``Quantum Field Theory"

D. Gross ``Lectures on QFT

Y. Frishman J. Sonnenschein ``Non Perturbative QFT"

[Publication Name]