How Is Clifford Algebra Applied in Particle Physics and Field Theory?

Click For Summary
SUMMARY

Clifford Algebra is essential in understanding particle physics and field theory, particularly through its application in Geometric Algebra. A highly recommended resource is "Geometric Algebra for Physicists" by Doran and Lasenby, which provides a comprehensive introduction to the subject. Additionally, supplementary notes based on this book are available on GitHub, specifically in the GA Note directory. These resources are crucial for mastering the notations and concepts used in advanced physics courses.

PREREQUISITES
  • Understanding of basic linear algebra concepts
  • Familiarity with vector spaces
  • Knowledge of particle physics fundamentals
  • Basic proficiency in mathematical notation
NEXT STEPS
  • Read "Geometric Algebra for Physicists" by Doran and Lasenby
  • Explore the GitHub repository for additional notes on Geometric Algebra
  • Study the applications of Clifford Algebra in quantum mechanics
  • Investigate the relationship between Clifford Algebra and differential geometry
USEFUL FOR

Students and researchers in physics, particularly those focusing on particle physics and field theory, as well as mathematicians interested in the applications of Clifford Algebra.

qubitor
Messages
3
Reaction score
0
Hello,

My courses in particle physics and filed theory use several notations in clifford algebra which I have never met before. Could anyone provides me some useful books for clifford algebra in physics?
 
Physics news on Phys.org
From Clifford Algebra to Geometric Calculus

Geometric Algebra is the Clifford Algebra of a finite dimensional vector space. The best reference for this is

"Geometric Algebra for Physicists" by Doran and Lasenby

https://www.amazon.com/dp/0521715954/?tag=pfamazon01-20

I have a set of note based on the book at

https://github.com/brombo/GA

in the GA Note directory (bookGA.pdf)
 
Last edited by a moderator:

Similar threads

  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
574
  • · Replies 3 ·
Replies
3
Views
6K
  • · Replies 14 ·
Replies
14
Views
4K
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
12
Views
10K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 14 ·
Replies
14
Views
6K
  • · Replies 61 ·
3
Replies
61
Views
9K