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  Inequivalent coherent state representations in Group Field Theory

Kegeles, A., Oriti, D., & Tomlin, C. (2018). Inequivalent coherent state representations in Group Field Theory. Classical and quantum gravity, 35(12): 125011. doi:10.1088/1361-6382/aac39f.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0000-649C-0 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-EDAB-3
Genre: Journal Article

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 Creators:
Kegeles, Alexander1, Author              
Oriti, Daniele2, Author              
Tomlin, Casey, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              
2Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: In this paper we introduce the algebraic formulation for group field theory and study non-Fock (condensate) representations based on coherent states. We show that we can construct representation with infinite number of particles in group field theories on compact base manifolds, similarly to what one can do on non-compact manifolds. We also show that the constructed representations break translation symmetry. Since such representations describe quantum gravity systems with infinite number of fundamental pre-geometric building blocks, they can be more suitable for description of effective spatiotemporal phases of the theory.

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 Dates: 2017-09-012017-10-092018
 Publication Status: Published in print
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 Identifiers: arXiv: 1709.00161
URI: http://arxiv.org/abs/1709.00161
DOI: 10.1088/1361-6382/aac39f
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Title: Classical and quantum gravity
Source Genre: Journal
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Pages: - Volume / Issue: 35 (12) Sequence Number: 125011 Start / End Page: - Identifier: -