Rationality of Conformally Invariant Local Correlation Functions on Compactified Minkowski Space

2000/09/30 by Nikolay Nikolov, Nikolay M. Nikolov, Иван Тодоров +1 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th #math-ph #math.DG #math.MP #math.QA

paper · pdf · doi:10.1007/s002200100414

published as Commun.Math.Phys. 218 (2001) 417-436 · 20 pages, LATEX, amsfonts, latexsym

arxiv created 2000/10/23 · openalex publication_date 2001/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Rationality of the Wightman functions is proven to follow from energy positivity, locality and a natural condition of global conformal invariance (GCI) in any number D of space-time dimensions. The GCI condition allows to treat correlation functions as generalized sections of a vector bundle over the compactification of Minkowski space and yields a strong form of locality valid for all non-isotropic intervals if assumed true for space-like separations.

Cited by

• Lectures on Algebraic Quantum Field Theory and Operator Algebras
• Lectures on Elliptic Functions and Modular Forms in Conformal Field Theory
• Partial wave expansion and Wightman positivity in conformal field theory

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