Thermal and spectral dimension of (generalized) Snyder noncommutative spacetimes

Autor(en)

Giovanni Amelino-Camelia, Flaminia Giacomini, Giulia Gubitosi

Abstrakt

We report an investigation of the Snyder noncommutative spacetime and of some of its most natural generalizations, also looking at them as a powerful tool for comparing different notions of dimensionality of a quantum spacetime. It is known that (generalized-)Snyder noncommutativity, while having rich off-shell implications (kinematical Hilbert space), does not affect noninteracting on-shell particles (physical Hilbert space), and we argue that physically meaningful notions of dimensionality should describe such spacetimes as trivially four-dimensional, without any running with scales. By studying the thermodynamics of a gas of massless particles living on these spacetimes, we find that indeed the Snyder model and its generalizations have constant thermal dimension of four. We also compute the spectral dimension of the Snyder model and its generalizations, finding that, as a result of its sensitivity to off-shell properties, it runs from the standard value of four in the infrared towards lower values in the ultraviolet limit.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Università degli studi di Napoli Federico II, Istituto Nazionale di Fisica Nucleare (INFN), Roma, Österreichische Akademie der Wissenschaften (ÖAW), Radboud University, Università degli Studi di Roma La Sapienza, Vienna Center for Quantum Science and Technology (VCQ)

Journal

Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics

Band

784

Seiten

50-55

Anzahl der Seiten

6

ISSN

0370-2693

DOI

https://doi.org/10.1016/j.physletb.2018.07.030

Publikationsdatum

09-2018

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik, 103028 Relativitätstheorie

Schlagwörter

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/de3a1bbc-ec17-4fd7-8fc6-ee73cfbef0ec