- #1

Sunnyocean

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**Summary::**I would like to ask about books and other materials to study in order to understand in a really, really rigorous manner the Higgs field, Higgs boson and other related topics.

Answers that are detailed but at the same time precise and to the point would be highly appreciated (please, no "this would take too much effort"). Also if you are an author please do not use this thread to promote your own books (it has happened in the past) unless they are really relevant to what I am asking.

Hello,

I have a degree in physics but it has been focused on the practical applications, rather than on rigorously understanding - and I mean really understanding - the mathematics and the theoretical physics that is behind the theory on which those applications are based.

I have some training in mathematics (derivatives and integrals of one-variable functions, and some vector analysis (though the latter is not by far as in-depth or as rigorous as I would like it to be). I have also studied the "standard" introductory undergraduate courses in quantum mechanics and special relativity (without general relativity), and a few other topics that are typically taught in a BSc degree in physics. But I did not find them satisfactory at all, they were the kind of courses that introduce a few equations and then give you exercises to practice, without going into how they were derived and without going into an in-depth analysis of the mathematics involved in those equations.

Recently, I came across this paper

https://www.rochester.edu/news/hagen/PhysRevLett.13.585.pdf ("Global Conservation Laws of Massless Particles" by T. W. B. Kibble et al., 1964) and I realized I do not understand it at all.

Could you please tell me what books (and / or other materials) I need to study in order to understand the paper?

(Also, somewhat related to this, what books would I need to read in order to understand really well quantum electrodynamics, quantum chromo-dynamics etc.?)

In other words, I am asking for the "ladder" of books (both physics books and mathematics books) that I need to study. Please only provide links to courses if those courses are really well made (the vast majority of the ones I had come across so far aren't, even at world-famous universities), i.e. if they go into the most minute detail of the mathematics and physics used - no "please accept this theorem without proof".)

I am aware that this type of rigorous learning that I am looking for is unlikely to be achieved by studying a single book or single course and that is fine - in other words, it is fine to provide (for example) the title of a book even if that book does not contain the proof for all the theorems used in it, as long as another book of the combination of physics and mathematics books / course materials you provide proves those theorems.

Thank you very much in advance and please keep safe!