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Advanced mathematics in theoretical physics

  1. Sep 9, 2014 #1
    Hi everyone,

    Please refer me to a very advanced mathematical physics reference that has applications in theoretical particle physics. I have seen the book Howard Georgi in Lie Algebras in particle physics but want more advanced ones. Any ideas would be very appreciated.

    Best,
    Paul
     
    Last edited: Sep 9, 2014
  2. jcsd
  3. Sep 9, 2014 #2

    dextercioby

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    Theoretical physics is a vast subject. More precisely, what are you looking for ?
     
  4. Sep 10, 2014 #3

    bhobba

    Staff: Mentor

    Last edited by a moderator: May 6, 2017
  5. Sep 10, 2014 #4

    Demystifier

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    For a very wide panorama of mathematical physics in quantum field theory see the 3 books by Zeidler
    https://www.amazon.com/Quantum-Field-Theory-Mathematics-Mathematicians/dp/3540347623
    https://www.amazon.com/Quantum-Fiel...hematicians/dp/3540853766/ref=pd_bxgy_b_img_y
    https://www.amazon.com/Quantum-Field-Theory-III-Mathematicians/dp/3642224202/ref=pd_bxgy_b_img_z
    each having more than 1000 pages.

    An even wider scope is given in the 5-volume mathematical physics encyclopedia
    https://www.amazon.com/Encyclopedia-Mathematical-Physics-Five-Volume-Set/dp/0125126603

    If these are too big or two expensive for you, then somewhat shorter (but still quite advanced with a wide scope) are

    Prakash
    https://www.amazon.com/Mathematical-Perspectives-Theoretical-Physics-Superstrings/dp/1860943659

    Emch
    https://www.amazon.com/Mathematical...=1410342400&sr=1-3&keywords=emch+mathematical

    and the 2 books by Thirring
    https://www.amazon.com/Classical-Ma...0342460&sr=1-1&keywords=thirring+mathematical
    https://www.amazon.com/Quantum-Math...er-Thirring/dp/3540430784/ref=pd_bxgy_b_img_y

    All those are quite general books, but if you want something more specific (e.g. a more advanced text on Lie algebras in particle physics), then you should specify.
     
    Last edited by a moderator: May 6, 2017
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