Hamiltonian charges on light cones for linear field theories on (A)dS backgrounds

Autor(en)

Piotr T. Chruściel, Tomasz Smołka

Abstrakt

We analyse the Noether charges for scalar and Maxwell fields on light cones on a de Sitter, Minkowski, and anti-de Sitter backgrounds. Somewhat surprisingly, under natural asymptotic conditions all charges for the Maxwell fields on both the de Sitter and anti-de Sitter backgrounds are finite. On the other hand, one needs to renormalise the charges for the conformally-covariant scalar field when the cosmological constant does not vanish. In both cases well-defined renormalised charges, with well-defined fluxes, are obtained. Again surprisingly, a Hamiltonian analysis of a suitably rescaled scalar field leads to finite charges, without the need to renormalise. Last but not least, we indicate natural phase spaces where the Poisson algebra of charges is well defined.

Organisation(en)

Gravitationsphysik

Externe Organisation(en)

University of Warsaw, Max-Planck-Institut für Gravitationsphysik (Albert Einstein Institut)

Journal

Journal of Mathematical Physics

Band

64

Anzahl der Seiten

51

ISSN

0022-2488

DOI

https://doi.org/10.48550/arXiv.2305.12980

Publikationsdatum

10-2023

Peer-reviewed

Ja

ÖFOS 2012

103028 Relativitätstheorie, 101006 Differentialgeometrie, 103019 Mathematische Physik

ASJC Scopus Sachgebiete

Statistical and Nonlinear Physics, Mathematical Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/aa3d55f0-df1c-41aa-a31c-8109e475b5b9