caa a22 4500 445387459 CHVBK 20180317143036.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s10714-010-1107-0 doi (NATIONALLICENCE)springer-10.1007/s10714-010-1107-0 Observables in 3d spinfoam quantum gravity with fermions [Elektronische Daten] [R. Dowdall, Winston Fairbairn] We study expectation values of observables in three-dimensional spinfoam quantum gravity coupled to Dirac fermions. We revisit the model introduced by one of the authors and extend it to the case of massless fermionic fields. We introduce observables, analyse their symmetries and the corresponding proper gauge fixing. The Berezin integral over the fermionic fields is performed and the fermionic observables are expanded in open paths and closed loops associated to pure quantum gravity observables. We obtain the vertex amplitudes for gauge-invariant observables, while the expectation values of gauge-variant observables, such as the fermion propagator, are given by the evaluation of particular spin networks. Springer Science+Business Media, LLC, 2010 Quantum gravity nationallicence Spin foam nationallicence Fermions nationallicence Loop quantum gravity nationallicence Matter coupling nationallicence Spin networks nationallicence Dowdall R. School of Mathematical Sciences, University of Nottingham, University Park, NG7 2RD, Nottingham, UK aut Fairbairn Winston School of Mathematical Sciences, University of Nottingham, University Park, NG7 2RD, Nottingham, UK aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/5(2011-05-01), 1263-1307 0001-7701 43:5<1263 2011 43 10714 https://doi.org/10.1007/s10714-010-1107-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-010-1107-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dowdall R. School of Mathematical Sciences, University of Nottingham, University Park, NG7 2RD, Nottingham, UK aut NATIONALLICENCE 700 1- Fairbairn Winston School of Mathematical Sciences, University of Nottingham, University Park, NG7 2RD, Nottingham, UK aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/5(2011-05-01), 1263-1307 0001-7701 43:5<1263 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer