Modular Operator for Null Plane Algebras in Free Fields

Autor:	Vincenzo Morinelli, Yoh Tanimoto, Benedikt Wegener
Rok vydání:	2022
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Theory (hep-th) Settore MAT/05 Mathematics - Operator Algebras FOS: Mathematics FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) 81T05 46L60 81P17 Operator Algebras (math.OA) Mathematical Physics
Zdroj:	Communications in Mathematical Physics. 395:331-363
ISSN:	1432-0916 0010-3616
DOI:	10.1007/s00220-022-04432-8
Popis:	We consider the algebras generated by observables in quantum field theory localized in regions in the null plane. For a scalar free field theory, we show that the one-particle structure can be decomposed into a continuous direct integral of lightlike fibres, and the modular operator decomposes accordingly. This implies that a certain form of QNEC is valid in free fields involving the causal completions of half-spaces on the null plane (null cuts). We also compute the relative entropy of null cut algebras with respect to the vacuum and some coherent states. Comment: 35 pages, 2 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bdb03ab03c3b84ad551c83a7d38eebfb https://doi.org/10.1007/s00220-022-04432-8 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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