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A Prerequisite for understanding QCD

  1. Sep 24, 2016 #1
    I know there is more than one approach in studying strong interaction, a geometric one based on gauge theories and one based on quantum field theory. In both of them I would like to know which topics I have to study in order to understand this theory, for example my knowledge of quantum physics consists in the Schrodinger equation and in its solutions in different situations. I am more interested in the geometric approach, but surely I will not have an all-embracing view until I will know the latter one. I would like to understand in particular the confinement and the asymptotic freedom. Thanks.
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  3. Sep 24, 2016 #2


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    Quantum field theory is what you need. Lagrangian formulation, how to write a gauge invariant Lagrangian, gauge fixing and quantization, Fadeev-Popov ghosts, renormalization, beta function and asymptotic freedom, massive gauge bosons and confinement. You might want to start with QED.
  4. Sep 24, 2016 #3


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    The QFT that describes the strong interaction is a gauge theory. I don't see where you expect a second approach.

    The usuall approach is nonrelativistic quantum mechanics -> relativistic quantum mechanics -> QED -> QCD.
  5. Sep 24, 2016 #4
    Ok, thank you all, I think I'm going to buy Landau's books and study them during the next two years.
  6. Sep 24, 2016 #5


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    But there is no geometry in Landau's books. The 4th volume of the series contains a thorough treatment of quantum electrodynamics. For QCD, though, try the Greiner series, especially the symmetry text in quantum mechanics is a must read before any quantum field theory reading.
  7. Sep 24, 2016 #6
    Thank you, I will have a look at Greiner texts.
  8. Sep 25, 2016 #7


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    I strongly suggest to take the modern way and leave out "relativistic quantum mechanics". The true way to describe relativistic QT is QFT :-). As introductory book, I recommend

    M. D. Schwartz, Introduction to quantum field theory and the standard model, Cambridge University Press 2014.
  9. Sep 25, 2016 #8
    It looks like a very difficult book, but I will study it little by little, thanks.
  10. Sep 25, 2016 #9


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    what about Weinberg's two vollumes on QFT?
  11. Sep 25, 2016 #10

    George Jones

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    Last edited by a moderator: May 8, 2017
  12. Sep 25, 2016 #11
    I have two of Greiner's books, RQM and QED. They are both excellent books. I will get the QCD book after digesting these two.
  13. Sep 25, 2016 #12
    Last edited by a moderator: May 8, 2017
  14. Sep 25, 2016 #13


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    Tiring one, but I think it's an introductory book like Griffith's... a more advanced textbook should be best (Like Sakurai's or Balentine's)
  15. Sep 25, 2016 #14
    I will consult them.
  16. Sep 25, 2016 #15


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    If you really want a thorough and long (oh so long :-D ) route there are no other books better than Zelevinsky's and Cohen Tannoudji's books on QM. (Zelevinsky also covers quantum chaos). There's also the book by Gurtzwiller which I have (hardcover) but didn't find the time to read.

    I took three courses in QM and one course in QFT (the continuation of which I am taking this coming academic year), for the most courses I didn't find the time to read the books since it mostly was lectured already in class (but I am sure these books are self contained and contain all you need to know and more on QM).

    For QFT there are so many books to read, I finished reading Srednicki's book but I know other books which I plan to read further on the road.

    BTW, I am not sure but QFT and QC (quantum chaos) are different subjects, shouldn't there be a unified theme between the two?

    It's interseting that macroscopically nature is chaotic while in QM there's no such chaos as in determinstic chaos in classical physics.
    I tried searchig for chaotic field theory and all I found is this link:

    and the book by Biro which I have.

    Didn't find the time to read them though.
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