Quantum Field Theory II - II 2023

Professor Gustavo Burdman

Dept. of Mathematical Physics – Room 3111

Classes: Wednesday and Friday, 10h at Room 2005  Ala Central, Ed. Principal

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

Here is a list of books that I find useful, 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;
"Field Theories of Condensed  Matter Physics", E. Fradkin;
"Advanced Quantum Field Theory", M. Shifman;
 "Dynamics of the Standard Model", J. Donoghue, E. Golowich and B. Holstein;
"Quantum Field Theory", M. Srednicki.
"Quantum Theory of Many-Particle Systems", A. Fetter and J. Walecka
"Gauge Theory of Elementary Particle Physics", T.-P. Cheng and L.-F. Li. 
"Field Theories of Condensed Matter Systems", E. Fradkin.

Class Notes

I: The Renormalization Group


•  Lecture 1      
  

•  Lecture 2      
  

• Lecture 3       
  

• Lecture 4       
  

    III: Functional Integral for Many-body Systems

• Lecture 5    
  

• Lecture 6    Video 27/09/23
  

• Lecture 7    Video 29/09/23
  

   IV: Spontaneous Symmetry Breaking I: Global Symmetries and Nambu-Goldstone States

• Lecture 8  
  

• Lecture 9  
  

• Lecture 10
  

V: The Effective Action

• Lecture 11  
  

• Lecture 12 
  

VI: Spontaneous Breaking II: Local Symmetries and the Anderson-Higgs Mechanism

• Lecture 13     
  

VII: Non-Abelian Gauge Theories 

• Lecture 14    
  

• Lecture 15    
  

• Lecture 16     
  

• Lecture 17     
  

• Lecture 18     
  

VIII: Anderson-Higgs Mechanism in Non-Abelian Gauge Theories

• Lecture 19    
  

• Lecture 20    
  

IX: Anomalies, Etc.

• Lecture 21   
  

• Lecture 22   
  

• Lecture 23
  

X: Non-Perturbative QFT: Extended Field Configurations, Topology, Etc.

• Lecture 24   
  

• Lecture 25    
  

Homework Assignments

• HW 1

• HW 2

• HW 3

Presentation Topics      

                                  Presentation Schedule                                    

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