Conformal extension of the Bunch-Davies state across the de Sitter boundary
Autor: | Michał Wrochna |
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Přispěvatelé: | Institut Fourier (IF ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019]), Institut Fourier (IF), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA) |
Jazyk: | angličtina |
Rok vydání: | 2019 |
Předmět: |
High Energy Physics - Theory
De Sitter space media_common.quotation_subject [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] FOS: Physical sciences Boundary (topology) Conformal map plane wave 01 natural sciences vacuum state Klein-Gordon equation: massive conformal De Sitter universe Hadamard transform 0103 physical sciences 0101 mathematics Mathematical Physics media_common Mathematical physics Physics space: de Sitter Hadamard state 010102 general mathematics Statistical and Nonlinear Physics Mathematical Physics (math-ph) State (functional analysis) 16. Peace & justice Wave equation Infinity High Energy Physics - Theory (hep-th) 010307 mathematical physics |
Zdroj: | J.Math.Phys. J.Math.Phys., 2019, 60 (2), pp.022301. ⟨10.1063/1.5023646⟩ |
DOI: | 10.1063/1.5023646⟩ |
Popis: | In the setting of the massive Klein-Gordon equation on de Sitter space, we discuss Vasy's asymptotic data at conformal infinity in terms of plane waves. In particular, we derive a short-hand formula for reconstructing solutions from their asymptotic data. Furthermore, we show that the natural Hadamard state induced from future (or past) conformal infinity coincides with the Bunch-Davies state. v3: to appear in JMP |
Databáze: | OpenAIRE |
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