Rigorous Methods in Particle Physics

Reviews recent results in the application of potential theory to particle physics, analyticity in quantum field theory and the fundamentals of the inverse problem. The book explores geometric approaches to particle physics and Higgs interactions.

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The book addresses three major topics in mathematical physics: the recent rigorous results in potential theory with applications in particle physics, analyticity in quantum field theory and its applications, and fundamentals and applications of the inverse problem. In addition, the book contains some contributions on questions of general interest in quantum field theory such as nonperturbative solutions of quantum chromodynamics, bifurcation theory applied to chiral symmetry, as well as exactly soluable models. The volume closes with a brief review of geometric approaches to particle physics and a phenomenological discussion of Higgs interactions.