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  Nontrivial UV behavior of rank-4 tensor field models for quantum gravity

Geloun, J. B., & Koslowski, T. A. (in preparation). Nontrivial UV behavior of rank-4 tensor field models for quantum gravity.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-F8BC-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-EC3D-1
Genre: Paper

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1606.04044.pdf (Preprint), 377KB
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 Creators:
Geloun, Joseph Ben1, Author              
Koslowski, Tim A., Author
Affiliations:
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
 Abstract: We investigate the universality classes of rank-4 colored bipartite U(1) tensor field models near the Gaussian fixed point with the functional renormalization group. In a truncation that contains all power counting relevant and marginal operators, we find a one-dimensional UV attractor that is connected with the Gaussian fixed point. Hence this is first evidence that the model could be asymptotically safe due to a mechanism similar to the one found in the Grosse-Wulkenhaar model, whose UV behavior near the Gaussian fixed point is also described by one-dimensional attractor that contains the Gaussian fixed point. However, the cancellation mechanism that is responsible for the simultaneous vanishing of the beta functions is new to tensor models, i.e. it does not occur in vector or matrix models.

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 Dates: 2016-06-13
 Publication Status: Not specified
 Pages: Latex, 4 pages + references
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1606.04044
URI: http://arxiv.org/abs/1606.04044
 Degree: -

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