Finster, Felix ; Kraus, Margarita
Alternative Links zum Volltext:DOIVerlag
Dokumentenart: | Artikel |
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Titel eines Journals oder einer Zeitschrift: | Journal of Mathematical Analysis and Applications |
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Verlag: | ACADEMIC PRESS INC ELSEVIER SCIENCE |
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Ort der Veröffentlichung: | SAN DIEGO |
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Band: | 491 |
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Nummer des Zeitschriftenheftes oder des Kapitels: | 2 |
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Seitenbereich: | S. 124340 |
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Datum: | 2020 |
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Institutionen: | Mathematik Mathematik > Prof. Dr. Felix Finster |
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Identifikationsnummer: | Wert | Typ |
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10.1016/j.jmaa.2020.124340 | DOI |
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Stichwörter / Keywords: | QUANTUM-FIELD-THEORY; SINGULARITY STRUCTURE; 2-POINT FUNCTION; Hadamard expansion; Relativistic quantum field theory; Hyperbolic PDEs; Ultraviolet regularization |
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Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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Status: | Veröffentlicht |
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Begutachtet: | Ja, diese Version wurde begutachtet |
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An der Universität Regensburg entstanden: | Ja |
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Dokumenten-ID: | 49514 |
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Zusammenfassung
A local expansion is proposed for two-point distributions involving an ultraviolet regularization in a four-dimensional globally hyperbolic space-time. The regularization is described by an infinite number of functions which can be computed iteratively by solving transport equations along null geodesics. We show that the Cauchy evolution preserves the regularized Hadamard structure. The resulting ...
Zusammenfassung
A local expansion is proposed for two-point distributions involving an ultraviolet regularization in a four-dimensional globally hyperbolic space-time. The regularization is described by an infinite number of functions which can be computed iteratively by solving transport equations along null geodesics. We show that the Cauchy evolution preserves the regularized Hadamard structure. The resulting regularized Hadamard expansion gives detailed and explicit information on the global dynamics of the regularization effects. (C) 2020 Elsevier Inc. All rights reserved.