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Is there a book for someone who already knows some group theory and theory of group representations on the mathematical side, and just wants something which explains the applications in particle physics and the Standard Model?

To be clear, I am not looking for a book which is intended or written for physicists, and I do not need anything extremely rigorous. I simply need a book which explains how things work with groups and group reps in particle physics and the Standard Model from the physical point of view

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  • $\begingroup$ How about this one: amazon.com/Lie-Groups-Algebras-Physicists/dp/9814616907 $\endgroup$
    – SigmaAlpha
    Commented Oct 6, 2020 at 11:15
  • $\begingroup$ I suspect you want to go to the mother load question here. "For mathematicians" in the title suggests rigor, but you are after the opposite? $\endgroup$
    – Cosmas Zachos
    Commented Oct 6, 2020 at 14:49
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    $\begingroup$ Possible duplicates: physics.stackexchange.com/q/6108/2451 and links therein. $\endgroup$
    – Qmechanic ♦
    Commented Oct 6, 2020 at 15:22
  • $\begingroup$ @Tom: what kind of mathematical rep theory do you know? Unless you know unitary representation theory for noncompact groups like SO(p,q), your math knowledge might not give you much advantage and thus the question might be moot. $\endgroup$
    – Abdelmalek Abdesselam
    Commented Oct 6, 2020 at 18:50
  • $\begingroup$ @Tom: A. O. Barut and R. Raczka "Theory of Group Representations and applications" is probably the best choice for you. $\endgroup$
    – Abdelmalek Abdesselam
    Commented Oct 6, 2020 at 18:51

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The good reference is a book by https://www.amazon.com/Symmetries-Lie-Algebras-Represen-Mathematical/dp/0521541190 - it is a about group theory and application in Physics, but aimed more at mathematicians.

I would also recommend https://www.amazon.com/dp/0521558859 as a something more applied and physicist aimed, with applications in crystallography and condensed matter.

And the book by Wu-Ki Tung, has a detailed discussion in applications to QFT and symmetry of classical and qunatum systems. https://www.amazon.com/Group-Theory-Physics-Wu-Ki-Tung/dp/9971966565/ref=pd_sbs_14_2/134-6903610-5306660?_encoding=UTF8&pd_rd_i=9971966565&pd_rd_r=cbb5053e-51fb-4c15-b965-836f7f44823d&pd_rd_w=K52lx&pd_rd_wg=nd473&pf_rd_p=b65ee94e-1282-43fc-a8b1-8bf931f6dfab&pf_rd_r=1CQDXH2D1AXRVF8Z53KC&psc=1&refRID=1CQDXH2D1AXRVF8Z53KC

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