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  Minimizers of the dynamical Boulatov model

Geloun, J. B., Kegeles, A., & Pithis, A. G. A. (2018). Minimizers of the dynamical Boulatov model. European Physical Journal C, 78(12): 996. doi:10.1140/epjc/s10052-018-6483-8.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-DC20-3 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-EC36-8
Genre: Journal Article

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 Creators:
Geloun, Joseph Ben1, Author              
Kegeles, Alexander1, Author              
Pithis, Andreas G. A.1, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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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: We study the the Euler-Lagrange equation of the dynamical Boulatov model, which is a simplicial model for 3D gravity augmented by a Laplace-Beltrami operator. We provide all its solutions on the space of left and right invariant functions that render the interaction of the model an equilateral tetrahedron. Surprisingly, for a nonlinear equation, the solution space forms a vector space. This space distinguishes three classes of solutions: saddle points, global and local minima of the action. Our analysis shows that there exists one parameter region of coupling constants, for which the action admits degenerate global minima.

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 Dates: 2018-06-262018
 Publication Status: Published in print
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 Identifiers: arXiv: 1806.09961
URI: http://arxiv.org/abs/1806.09961
DOI: 10.1140/epjc/s10052-018-6483-8
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Title: European Physical Journal C
Source Genre: Journal
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Pages: - Volume / Issue: 78 (12) Sequence Number: 996 Start / End Page: - Identifier: -