MICROLOCAL ANALYSIS OF QUANTUM FIELDS ON CURVED SPACETIMES
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| Author / Creator: | CHRISTIAN GERARD. |
|---|---|
| Imprint: | [Place of publication not identified] EUROPEAN MATHEMATICAL SOC, 2019. |
| Description: | 1 online resource |
| Language: | English |
| Series: | ESI lectures in mathematics and physics ESI lectures in mathematics and physics. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/12486611 |
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| 100 | 1 | |a CHRISTIAN GERARD. | |
| 245 | 1 | 0 | |a MICROLOCAL ANALYSIS OF QUANTUM FIELDS ON CURVED SPACETIMES |
| 260 | |a [Place of publication not identified] |b EUROPEAN MATHEMATICAL SOC, |c 2019. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a ESI lectures in mathematics and physics | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Introduction -- Free Klein-Gordon fields on Minkowski spacetime -- Fock quantization on Minkowski space -- CCR algebras and quasi-free states -- Free Klein-Gordon fields on curved spacetimes -- Quasi-free states on curved spacetimes -- Microlocal analysis of Klein-Gordon equations -- Hadamard states -- Vacuum and thermal states on stationary spacetimes -- Pseudodifferential calculus on manifolds -- Construction of Hadamard states by pseudodifferential calculus -- Analytic Hadamard states and Wick rotation -- Hadamard states and characteristic Cauchy problem -- Klein-Gordon fields on spacetimes with Killing horizons -- Hadamard states and scattering theory -- Dirac fields on curved spacetimes. | |
| 520 | |a We focus on free fields and the corresponding quasi-free states and more precisely on Klein-Gordon 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 Klein-Gordon 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. | ||
| 650 | 0 | |a Quantum field theory. |0 http://id.loc.gov/authorities/subjects/sh85109461 | |
| 650 | 0 | |a Microlocal analysis. |0 http://id.loc.gov/authorities/subjects/sh92003594 | |
| 650 | 0 | |a Quantum theory. |0 http://id.loc.gov/authorities/subjects/sh85109469 | |
| 650 | 7 | |a Microlocal analysis. |2 fast |0 (OCoLC)fst01019887 | |
| 650 | 7 | |a Quantum field theory. |2 fast |0 (OCoLC)fst01085105 | |
| 650 | 7 | |a Quantum theory. |2 fast |0 (OCoLC)fst01085128 | |
| 650 | 0 | 7 | |a Quantum physics (quantum mechanics) |2 bicssc |
| 650 | 0 | 7 | |a Quantum theory. |2 msc |
| 650 | 0 | 7 | |a Partial differential equations. |2 msc |
| 650 | 0 | 7 | |a Global analysis, analysis on manifolds. |2 msc |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |c Original |z 9783037190944 |z 3037190949 |w (OCoLC)1127893106 |
| 830 | 0 | |a ESI lectures in mathematics and physics. |0 http://id.loc.gov/authorities/names/no2004055813 | |
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| 928 | |t Library of Congress classification |a QC174.45 |l Online |c UC-FullText |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=2285500 |z eBooks on EBSCOhost |g ebooks |i 12474071 | ||