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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Seidel, Sally

Managing Editor: Lesna-Szreter, Paulina


IMPACT FACTOR 2018: 1.005

CiteScore 2018: 1.01

SCImago Journal Rank (SJR) 2018: 0.237
Source Normalized Impact per Paper (SNIP) 2018: 0.541

ICV 2017: 162.45

Open Access
Online
ISSN
2391-5471
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Volume 9, Issue 4

Issues

Volume 13 (2015)

Wilson loops, geometric operators and fermions in 3d group field theory

R. Dowdall
Published Online: 2011-04-30 | DOI: https://doi.org/10.2478/s11534-010-0137-2

Abstract

Group field theories whose Feynman diagrams describe 3d gravity with a varying configuration of Wilson loop observables and 3d gravity with volume observables at each vertex are defined. The volume observables are created by the usual spin network grasping operators which require the introduction of vector fields on the group. We then use this to define group field theories that give a previously defined spin foam model for fermion fields coupled to gravity, and the simpler “quenched” approximation, by using tensor fields on the group. The group field theory naturally includes the sum over fermionic loops at each order of the perturbation theory.

Keywords: spin foam; loop quantum gravity; fermion; group field theory

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About the article

Published Online: 2011-04-30

Published in Print: 2011-08-01


Citation Information: Open Physics, Volume 9, Issue 4, Pages 1043–1056, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-010-0137-2.

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© 2011 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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