The main problems addressed in Weinberg's books on QFT include the foundations of quantum field theory, the unification of quantum mechanics and special relativity, and the development of mathematical tools for calculating physical predictions.
Weinberg approaches these problems by using a combination of mathematical rigor and physical intuition, drawing on his extensive knowledge of quantum mechanics, special relativity, and group theory.
Some common challenges that readers face when trying to understand Weinberg's solutions include the complex mathematical formalism, the abstract nature of quantum field theory, and the sophisticated physical concepts involved.
To overcome these challenges, readers should have a strong foundation in quantum mechanics, special relativity, and group theory. They should also be willing to put in the time and effort to carefully study and understand the mathematical equations and physical concepts presented in Weinberg's books.
Readers can supplement their understanding by consulting other textbooks on quantum field theory, attending seminars or lectures on the subject, and discussing the material with other physicists. They can also use online resources, such as video lectures and forums, to clarify any questions or difficulties they may have.