Mathematics of Quantization and Quantum Fields (Cambridge by Jan Dereziński,Christian Gérard

By Jan Dereziński,Christian Gérard

Unifying quite a number issues which are at present scattered in the course of the literature, this ebook deals a special and definitive evaluation of mathematical features of quantization and quantum box conception. The authors current either uncomplicated and extra complex subject matters of quantum box conception in a mathematically constant method, concentrating on canonical commutation and anti-commutation family members. they start with a dialogue of the mathematical constructions underlying unfastened bosonic or fermionic fields, like tensors, algebras, Fock areas, and CCR and automobile representations (including their symplectic and orthogonal invariance). purposes of those themes to actual difficulties are mentioned in later chapters. even supposing many of the ebook is dedicated to loose quantum fields, it additionally comprises an exposition of 2 vital facets of interacting fields: diagrammatics and the Euclidean method of optimistic quantum box conception. With its in-depth assurance, this article is key analyzing for graduate scholars and researchers in departments of arithmetic and physics.

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