Solitons, instantons etc. -- Studying the general theory of solitons in QFT

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The discussion centers on the study of supersymmetric solitons and recommendations for resources in quantum field theory (QFT). Key texts mentioned include Coleman's "Aspects of Symmetry," praised for its clear presentation and physical insights, and considered a classic introduction. For a more comprehensive understanding, Rajaraman's "Solitons and Instantons" and Manton and Sutcliffe's "Topological Solitons" are suggested. Rubakov's "Classical Gauge Fields" is noted as a more recent option, though familiarity with it is limited among participants. Overall, Coleman's book receives strong endorsements for those already knowledgeable in QFT.
Gvido_Anselmi
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Hello everybody!
I've recently decided that I'm interested in supersymmetric solitons and want to work in this area for future 2 undergrad years. I wonder what is the best place to study the general theory of solitons in QFT? Is Rubakov "Classical gauge fields" really the best book for those who allready knows QFT?
 
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The somewhat classic reference was Coleman's Aspects of Symmetry for a very physical introduction. A more complete treatment can be found in Rajaraman, Solitons and Instantons or the newer Manton and Sutcliffe, Topological Solitons. Rubakov seems to be a bit more recent than the latter, but I'm not familiar with it. I would highly recommend Coleman's book based on the quality of the presentation, but don't really have a preference for one of the other three texts.
 
fzero said:
The somewhat classic reference was Coleman's Aspects of Symmetry for a very physical introduction. A more complete treatment can be found in Rajaraman, Solitons and Instantons or the newer Manton and Sutcliffe, Topological Solitons. Rubakov seems to be a bit more recent than the latter, but I'm not familiar with it. I would highly recommend Coleman's book based on the quality of the presentation, but don't really have a preference for one of the other three texts.

Thank you for this advice, Coleman is really good!
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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