Classical and quantum fields on Lorentzian manifolds

We construct bosonic and fermionic locally covariant quantum fields theories on curved backgrounds for large classes of fields. We investigate the quantum field and n-point functions induced by suitable states.

Metadaten
Author details:	Christian Bär ORCiD GND, Nicolas Ginoux
URN:	urn:nbn:de:kobv:517-opus-59973
Publication series (Volume number):	Preprints des Instituts für Mathematik der Universität Potsdam (1(2012)15)
Publication type:	Preprint
Language:	English
Publication year:	2012
Publishing institution:	Universität Potsdam
Release date:	2012/07/05
Tag:	CCR-algebra; Dirac-type operator; Green's operator; Wave operator; globally hyperbolic spacetime
Source:	arXiv:1104.1158v2 [math-ph] 2 May 2011
Organizational units:	Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
DDC classification:	5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC classification:	35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Lxx Hyperbolic equations and systems [See also 58J45]
	58-XX GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx](For geometric integration theory, see 49Q15) / 58Jxx Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx] / 58J45 Hyperbolic equations [See also 35Lxx]
	81-XX QUANTUM THEORY / 81Txx Quantum field theory; related classical field theories [See also 70Sxx] / 81T20 Quantum field theory on curved space backgrounds
Collection(s):	Universität Potsdam / Schriftenreihen / Preprints des Instituts für Mathematik der Universität Potsdam, ISSN 2193-6943 / 2012
License (German):	Keine öffentliche Lizenz: Unter Urheberrechtsschutz
External remark:	RVK-Klassifikation: SI 990