Rigorous methods in particle physics

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.