Frederic Paugam's Towards the Mathematics of Quantum Field Theory (Ergebnisse PDF

By Frederic Paugam

This formidable and unique booklet units out to introduce to mathematicians (even together with graduate scholars ) the mathematical tools of theoretical and experimental quantum box idea, with an emphasis on coordinate-free shows of the mathematical gadgets in use. This in flip promotes the interplay among mathematicians and physicists via delivering a typical and versatile language for the great of either groups, even though mathematicians are the first aim. This reference paintings presents a coherent and entire mathematical toolbox for classical and quantum box idea, according to specific and homotopical equipment, representing an unique contribution to the literature.
The first a part of the booklet introduces the mathematical equipment had to paintings with the physicists' areas of fields, together with parameterized and sensible differential geometry, functorial research, and the homotopical geometric thought of non-linear partial differential equations, with purposes to normal gauge theories. the second one half offers a wide relatives of examples of classical box theories, either from experimental and theoretical physics, whereas the 3rd half offers an advent to quantum box idea, offers a variety of renormalization tools, and discusses the quantization of factorization algebras.

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Download e-book for iPad: Towards the Mathematics of Quantum Field Theory (Ergebnisse by Frederic Paugam

This bold and unique booklet units out to introduce to mathematicians (even together with graduate scholars ) the mathematical equipment of theoretical and experimental quantum box conception, with an emphasis on coordinate-free shows of the mathematical gadgets in use. This in flip promotes the interplay among mathematicians and physicists by means of providing a standard and versatile language for the great of either groups, even though mathematicians are the first objective.

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Towards the Mathematics of Quantum Field Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) by Frederic Paugam


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