Quantum Field Theory I - 1st Semester 2024

Professor Gustavo Burdman

Dept. of Mathematical Physics – Room 3111 -Email: gaburdman AT usp.br

Classes: Wednesday and Friday, 10-12 AM, in Jayme Tiomno Seminar Room    Office Hours: Thursday 14-15:30, Room 3111

Teaching Assistant (Monitor): Rafael Grossi e Fonseca (email: rgrossi@usp.br)

I will not follow one textbook. At times I will be taking material from a specific book, which I will point out.  But I will provide a (hopefully good) set of lecture notes (see below).

Here is a list of books that I find useful (in no particular order), some of which have material I will present in class:

"An Introduction to Quantum Field Theory”, M. E. Peskin and D. V. Schroeder;
"Quantum Field Theory”, Itzykson and Zuber;
“The Quantum Theory of Fields I and II”, S. Weinberg;
 "Quantum Field Theory in a Nutshell", A. Zee;
 "Modern Quantum Field Theory", T. Banks;
"Condensed Matter Field Theory", Altland and Simons;
"Advanced Quantum Field Theory", M. Shifman;
 "Dynamics of the Standard Model", J. Donoghue, E. Golowich and B. Holstein;
"Quantum Field Theory", M. Srednicki.
"Gauge Theory of Elementary Particle Physics", T.-P. Cheng and L.-F. Li. 
"Field Theories of Condensed Matter Systems", E. Fradkin.
"Quantum Theory of Many Body Systems", A. L. Fetter and J. D. Walecka

Class Notes

I: Introduction


•   Lecture 1    
  

•   Lecture 2    
  

     II: Canonical Quantization

• Lecture 3   
  

• Lecture 4   
  

• Lecture 5   
  

• Lecture 6  
  

    III: Functional Integral Formulation

• Lecture 7
  

• Lecture 8 
  

• Lecture 9 
  

    IV: Interactions and Perturbation Theory

• Lecture 10  
  

• Lecture 11   
  

• Lecture 12  
  

• Lecture 13 
  

• Lecture 14 
  

• Lecture 15
  

    V: Quantization of Gauge Theories

• Lecture 16   
  

• Lecture 17   
  

VI: Quantum Electrodynamics  

• Lecture 18 
  

    VII: Renormalization I (II is next semester!)

• Lecture 19    
  

• Lecture 20   
  

• Lecture 21   
  

• Lecture 22   
  

• Lecture 23  
  

• Lecture 24  
  

• Lecture 25  
  

• Lecture 26  
  

Homework Assignments

• HW 1

• HW 2

• HW 3

• HW 4

• HW 5

• HW 6
  

                                                                Tests

First Test:  03/05/2024

Second Test: 05/07/2024

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