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Catalogue Information
Field name	Details
Dewey Class	530.15
Title	Towards the Mathematics of Quantum Field Theory ([Ebook]) / by Frédéric Paugam.
Author	Paugam, Frédéric
Other name(s)	SpringerLink (Online service)
Publication	Cham Springer International Publishing 2014.
Physical Details	XVI, 487 pages:. 77 illus., 1 illus. in color. : online resource.
Series	Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 59
ISBN	9783319045641
Summary Note	The aim of this book is to introduce mathematicians (and, in particular, graduate students) to the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of the mathematical objects in play. This should in turn promote interaction between mathematicians and physicists by supplying a common and flexible language for the good of both communities, even if the mathematical one is the primary target. This reference work provides a coherent and complete mathematical toolbox for classical and quantum field theory, based on categorical and homotopical methods, representing an original contribution to the literature. The first part of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory of non-linear partial differential equations, with applications to general gauge theories. The second part presents a large family of examples of classical field theories, both from experimental and theoretical physics, while the third part provides an introduction to quantum field theory, presents various renormalization methods, and discusses the quantization of factorization algebras. The book is primarily intended for pure mathematicians (and in particular graduate students) who would like to learn about the mathematics of quantum field theory.:
Contents note	Introduction -- Mathematical Preliminaries -- Classical Trajectories and Fields -- Quantum Trajectories and Fields -- Appendices.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-04564-1
Links to Related Works	Subject References: Algebra . Algebraic Topology . Category Theory, Homological Algebra . Mathematical Physics . Mathematics . Authors: Paugam, Frédéric . Corporate Authors: SpringerLink (Online service) . Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics . Classification: 530.15 . 530.15 (DDC 23) .

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Towards the Mathematics of Quantum Field Theory

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