2010/06/03 by Benjamin Bähr, Benjamin Bahr · 2 citations
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Classical mechanics #Hilbert space #Invariant (physics) #Loop quantum gravity #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum gravity #Quantum many-body systems #Quantum mechanics #Space (punctuation) #Spin (aerodynamics) #Spin foam #Theoretical physics #gr-qc #math-ph #math.MP
paper · pdf · doi:10.1088/0264-9381/28/4/045002
published as Class.Quant.Grav.28:045002,2011 · 22 pages, 14 figures
arxiv created 2010/06/03 · openalex publication_date 2011/01/31 · arxiv updated 2011/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract\nWe 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.