Frederic Paugam: 'Towards the Mathematics of Quantum Field Theory' Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, Vol. 59, Springer-Verlag, 2014,487 pp.

摘要

Quantum field theory can be considered as one of the cornerstones of modern physics. Historically, it originates from the problem of quantizing the electromagnetic field, dating back to shortly after the advent of quantum mechanics. This amounts to understanding the quantization of a system with infinitely many degrees of freedom, namely, the values of the electromagnetic field at all spacetime points. It turned out that precisely this property would form the main obstacle in the search for a mathematical formalism for quantum field theories.