Quantum field theory: a tourist guide for mathematicians Gerald B. Folland Quantum field theory has been a great success for physics, but it is difficult for mathematicians to learn because it is mathematically incomplete. open_problems. Open Problems. This is the problem of combining general relativity and quantum theory into one theory. Such a theory would be able to describe all known interactions of nature. For example, field theory is introduced to explain identical particles, vector gauge fields are Quotes []. Among the many significant ideas and developments that connect Mathematics with contemporary Physics one of the most intriguing is the role that Quantum Field Theory (QFT) plays in Geometry and Topology.We can argue back and forth on the relevance of such a role, but the perspective QFT offers is often surprising and far reaching. This is the second volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. This book seeks to bridge the existing gap between the different languages used by mathematicians and physicists. Towards the mathematics of quantum ?eld theory [Tak08] on mathematics of quantum mechanics, Connes and Marcolli's book [CM08] on renormalization, Vinogradov's book [Vin01], Vinogradov- Quantum ?eld theory: a tourist guide for mathematicians, volume 149 of Mathematical Surveys and A soft introduction to physics for mathematicians who don't know the first thing about physics. but the answers always gave some advanced introduction to the mathematics of quantum field theory, or string theory and so forth. I like Folland's Quantum Field Theory: a tourist guide for Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals. It covers the basics of classical field theory, free quantum theories and Fey