Diracs Quantization Condition & Magnetic Monopole Explained

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SUMMARY

The discussion focuses on the Dirac quantization condition related to magnetic monopoles and their explanation through quantum field theory. Vincent S Ryan emphasizes the importance of understanding the Dirac string and monopole concepts, suggesting that a modern interpretation involves the geometry of gauge bundles and cohomology. For practical calculations, he recommends reviewing Dirac's original papers or relevant textbooks to grasp both classical and quantum implications. An introductory article is also provided for those seeking foundational knowledge.

PREREQUISITES
  • Understanding of Dirac string and magnetic monopoles
  • Familiarity with gauge theory and cohomology in physics
  • Basic knowledge of quantum field theory
  • Access to relevant textbooks or academic papers on the topic
NEXT STEPS
  • Research the geometry of gauge bundles in the context of magnetic monopoles
  • Study Dirac's original papers on quantization conditions
  • Explore introductory articles on quantum field theory and magnetic monopoles
  • Learn about the implications of cohomology in modern physics
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Physicists, students of theoretical physics, and anyone interested in the mathematical foundations of quantum field theory and magnetic monopoles.

vincentryan
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Hi
please explain me the Diracs quantization condition for Magnetic Monopole
and explain me the Magnetic Monopole by the Quantum field theory

Vincent S Ryan
 
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You need several pages from a textbook.
 
Google for the Dirac string and the Dirac monopole. there's several ways to think about them, with varying levels of mathematical sophistication.

The modern way to think of it is the one I prefer, as one thinks of them in terms of the geometry of gauge bundles, as its a quite a beautiful and elementary consequence of cohomology in physics.

For the more bruteforce calculational consequences, Diracs early work is instructive and you would need to look up his papers or find a textbook with the details spelled out. I don't have a reference handy for that, but I could tell you the final result (both classical and quantum), but its not really that instructive without seeing the details.
 
Last edited:
vincentryan said:
Hi
please explain me the Diracs quantization condition for Magnetic Monopole
and explain me the Magnetic Monopole by the Quantum field theory

Vincent S Ryan

Since i do not know what your level of kwnoledge is, i would like to point your attention to an interesting introductory article on this topic : https://www.physicsforums.com/showpost.php?p=734819&postcount=61

marlon
 

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