Microlocal Analysis of Quantum Fields on Curved Spacetimes free ebook download.

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Microlocal Analysis of Quantum Fields on Curved Spacetimes free ebook download

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Author(s):	Christian Gerard

Date:	2019	Format:	PDF	Language:	English	ISBN/ASIN:	3037190949
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	maveriks	Upload Date:	12/26/2019 1:17:41 AM

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We focus on free fields and the corresponding quasi-free states and more precisely on KleinGordon fields and Dirac fields. The first chapters are devoted to preliminary material on CCR*-algebras, quasi-free states, wave equations on Lorentzian manifolds, microlocal analysis and to the important Hadamard condition, characterizing physically acceptable quantum states on curved spacetimes. In the later chapters more advanced tools of microlocal analysis, like the global pseudo-differential calculus on non-compact manifolds, are used to construct and study Hadamard states for KleinGordon fields by various methods, in particular by scattering theory and by Wick rotation arguments. In the last chapter the fermionic theory of free Dirac quantum fields on Lorentzian manifolds is described in some detail.

This monograph is addressed to both mathematicians and mathematical physicists. The first will be able to use it as a rigorous exposition of free quantum fields on curved spacetimes and as an introduction to some interesting and physically important problems arising in this domain. The second may find this text a useful introduction and motivation to the use of more advanced tools of microlocal analysis in this area of research.

Keywords: Quantum Field Theory, curved spacetimes, Hadamard states, microlocal analysis, pseudo-differential calculus

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2660704	Book	https://florenfile.com/n7tjck650onw...		2.00	maveriks

Tags: Analysis Curved Fields Microlocal Quantum Spacetimes

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