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Krein Spaces in de Sitter Quantum Theories
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SYSNO ASEP 0343071 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Krein Spaces in de Sitter Quantum Theories Tvůrce(i) Gazeau, J.P. (FR)
Siegl, Petr (UJF-V) RID
Youssef, A. (FR)Zdroj.dok. Symmetry, Integrability and Geometry: Methods and Applications. - : Natsional'na Akademiya Nauk Ukrainy - ISSN 1815-0659
Roč. 6, - (2010), 011/1-011/23Poč.str. 23 s. Jazyk dok. eng - angličtina Země vyd. UA - Ukrajina Klíč. slova de Sitter group ; undecomposable representations ; Krein spaces Vědní obor RIV BE - Teoretická fyzika CEZ AV0Z10480505 - UJF-V (2005-2011) UT WOS 000274771200006 DOI 10.3842/SIGMA.2010.011 Anotace Experimental evidences and theoretical motivations lead to consider the curved space-time relativity based on the de Sitter group SO0(1, 4) or Sp(2, 2) as an appealing substitute to the flat space-time Poincare relativity. Quantum elementary systems are then associated to unitary irreducible representations of that simple Lie group. At the lowest limit of the discrete series lies a remarkable family of scalar representations involving Krein structures and related undecomposable representation cohomology which deserves to be thoroughly studied in view of quantization of the corresponding carrier fields. The purpose of this note is to present the mathematical material needed to examine the problem and to indicate possible extensions of an exemplary case, namely the so-called de Sitterian massless minimally coupled field, i.e. a scalar field in de Sitter space-time which does not couple to the Ricci curvature. Pracoviště Ústav jaderné fyziky Kontakt Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Rok sběru 2011
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