Inequivalent coherent state representations in group field theory

In this paper we propose an algebraic formulation of group field theory and consider non-Fock representations based on coherent states. We show that we can construct representations with an infinite number of degrees of freedom on compact manifolds. We also show that these representations break tran...

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Bibliographic Details
Published in:Classical and quantum gravity 2018-06, Vol.35 (12), p.125011
Main Authors: Kegeles, Alexander, Oriti, Daniele, Tomlin, Casey
Format: Article
Language:English
Subjects:
group field theory
quantum field theory
quantum gravity
spin foam models
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Summary:In this paper we propose an algebraic formulation of group field theory and consider non-Fock representations based on coherent states. We show that we can construct representations with an infinite number of degrees of freedom on compact manifolds. We also show that these representations break translation symmetry. Since such representations can be regarded as quantum gravitational systems with an infinite number of fundamental pre-geometric building blocks, they may be more suitable for the description of effective geometrical phases of the theory.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/aac39f