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  Renormalization of a tensorial field theory on the homogeneous space SU(2)/U(1)

Lahoche, V., & Oriti, D. (2017). Renormalization of a tensorial field theory on the homogeneous space SU(2)/U(1). Journal of Physics A, 50(2): 025201. doi:10.1088/1751-8113/50/2/025201.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0028-1E04-8 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-F65E-0
Genre: Journal Article

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 Creators:
Lahoche, Vincent, Author
Oriti, Daniele1, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: We study the renormalization of a general field theory on the 2-sphere with tensorial interaction and gauge invariance under the diagonal action of SU(2). We derive the power counting for arbitrary dimension d. For the case d=4, we prove perturbative renormalizability to all orders via multi-scale analysis, study both the renormalised and effective perturbation series, and establish the asymptotic freedom of the model. We also outline a general power counting for the homogeneous space SO(D)/SO(D-1), of direct interest for quantum gravity models in general dimensions, and point out the obstructions to the direct generalisation of our results to these cases.

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 Dates: 2015-06-2820162017
 Publication Status: Published in print
 Pages: 48 pages, 17 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1506.08393
URI: http://arxiv.org/abs/1506.08393
DOI: 10.1088/1751-8113/50/2/025201
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Title: Journal of Physics A
Source Genre: Journal
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Pages: - Volume / Issue: 50 (2) Sequence Number: 025201 Start / End Page: - Identifier: -