Topology in Statistical Physics - Lecture 1

Topology in Statistical Physics - Lecture 1

International Centre for Theoretical Sciences via YouTube Direct link

Now we modify the Maxwell's equation to incorporate the magnetic monopole This may come from more high energy theories which we would not discuss,

13 of 21

13 of 21

Now we modify the Maxwell's equation to incorporate the magnetic monopole This may come from more high energy theories which we would not discuss,

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Topology in Statistical Physics - Lecture 1

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  1. 1 Topology in statistical physics - 1
  2. 2 BSSP 2020 : Introduction to Topology in statistical physics
  3. 3 Contents
  4. 4 Lecture -1: Topology in statistical physics: What and why?
  5. 5 Our course work in mathematical physics should tell us that a mathematical structures have two characteristic features
  6. 6 Assume that you are familiar
  7. 7 With this, I intent develop the course as follows
  8. 8 The aim would be to try and tell you the story in a way you can start thinking for yourself.
  9. 9 Example of topological quantum number and associated ideas
  10. 10 In this sense Maxwell's equation describe a classical EFFECTIVE field theory
  11. 11 Ultra-violet regulation : Define a small length, a and do all the calcula- tions.
  12. 12 Sometimes it is easy to see what is a natural regular - Symmetries
  13. 13 Now we modify the Maxwell's equation to incorporate the magnetic monopole This may come from more high energy theories which we would not discuss,
  14. 14 Magnetic Monopole
  15. 15 In the magnetostatic limit with the monopole at the origin, i.e. on = mor,
  16. 16 Line singularity Dirac String : This singularity is not in a physical observable.
  17. 17 General Forecast : Two types of Quantum Numbers.
  18. 18 Term String
  19. 19 Path Integral formulation of Quantum Mechanics
  20. 20 Integrate out P
  21. 21 Q&A

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