Math 192c
 
Hopf Algebras and Renormalization
Spring 2010-11
 
MWF 1:00 PM, 257 Sloan
Course Description | Policies | Textbooks | Lecture Notes | Handouts | Homework | Sections

Instructor: Susama Agarwala, Sloan 276, 626-395-4347, susama@caltech.edu
Office Hours:  By appointment
Announcements
 

 


 
 



Course Description
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The course will follow various topics on the role of Hopf algebras in renormalization in high energy physics. Topics to be covered are open to modification by popular student demand.

Policies
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The course will be graded on student participation and a final presentation.

Textbooks
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There are no texts for this course. Assigned papers can be found on arxiv.org

Topics
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Topic Associated Papers
Hopf Algebras and trees Igor Mencattini's Thesis
Toy model of renormalization arXiv:hep-th/9808042 and others
Renormalization  
Birkhoff Decomposition Hopf algebras, from basics to applications to renormalization
Rota-Baxter Algebras?  

References
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Topic Possible Reference
Power counting Itzykson & Zuber, 8.1.3 or Agarwala Thesis 2.1.1
Toy regularization model Hopf Algebras, Renormalization and Noncommutative Geometry
Hopf Algebras Igor Mencattini's Thesis.
Group of characters Lie Theoretic Approach to Renormalization

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