On knottings in the physical Hilbert space of LQG as given by the EPRL model - Archive ouverte HAL Access content directly
Journal Articles Classical and Quantum Gravity Year : 2011

On knottings in the physical Hilbert space of LQG as given by the EPRL model

Abstract

We consider the EPRL spin foam amplitude for arbitrary embedded two-complexes. Choosing a definition of the face- and edge amplitudes which lead to spin foam amplitudes invariant under trivial subdivisions, we investigate invariance properties of the amplitude under consistent deformations, which are deformations of the embedded two-complex where faces are allowed to pass through each other in a controlled way. Using this surprising invariance, we are able to show that the physical Hilbert space, as defined by the sum over all spin foams, contains no information about knotting classes of graphs anymore.

Keywords

Fichier principal
Vignette du fichier
PEER_stage2_10.1088%2F0264-9381%2F28%2F4%2F045002.pdf (263.5 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00672300 , version 1 (21-02-2012)

Identifiers

Cite

Benjamin Bahr. On knottings in the physical Hilbert space of LQG as given by the EPRL model. Classical and Quantum Gravity, 2011, 28 (4), pp.45002. ⟨10.1088/0264-9381/28/4/045002⟩. ⟨hal-00672300⟩

Collections

PEER
50 View
58 Download

Altmetric

Share

Gmail Facebook X LinkedIn More