Work

Intertwining operators for symmetric hyperbolic systems on globally hyperbolic manifolds

Year: 2020

Type: article

Abstract: In this paper, a geometric process to compare solutions of symmetric hyperbolic systems on (possibly different) globally hyperbolic manifolds is realized via a family of intertwining operators. By fixing a suitable parameter, it is shown that the resulting intertwining operator preserves Hermitian forms naturally defined on the space of homogeneous solutions. As an application, we investigate the action of the intertwining operators in the context of algebraic quantum field theory. In particular, we provide a new geometric proof for the existence of the so-called Hadamard states on globally hyperbolic manifolds.

Source: Annals of Global Analysis and Geometry

DOI: 10.1007/s10455-020-09739-0

Authors: Simone Murro, Daniele Volpe

Institutions: University of Trento, Istituto Nazionale di Fisica Nucleare, Trento Institute for Fundamental Physics And Applications

Language: English

Topic: Relativity and Gravitational Theory

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,750

Funder: Università degli Studi di Trento