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Notes on Melonic O(N)^q-1 Tensor Models

Choudhury, S., Dey, A., Halder, I., Janagal, L., Minwalla, S., & Poojary, R. (2018). Notes on Melonic O(N)^q-1 Tensor Models. Journal of high energy physics: JHEP, 2018(06): 094. doi:10.1007/JHEP06(2018)094.

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Creators:
Choudhury, Sayantan1, Author
Dey, Anshuman, Author
Halder, Indranil, Author
Janagal, Lavneet, Author
Minwalla, Shiraz, Author
Poojary, Rohan, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014

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Free keywords: High Energy Physics - Theory, hep-th, Condensed Matter, Strongly Correlated Electrons, cond-mat.str-el
Abstract: It has recently been demonstrated that the large N limit of a model of fermions charged under the global/gauge symmetry group $O(N)^{q-1}$ agrees with the large $N$ limit of the SYK model. In these notes we investigate aspects of the dynamics of the $O(N)^{q-1}$ theories that differ from their SYK counterparts. We argue that the spectrum of fluctuations about the finite temperature saddle point in these theories has $(q-1)\frac{N^2}{2}$ new light modes in addition to the light Schwarzian mode that exists even in the SYK model, suggesting that the bulk dual description of theories differ significantly if they both exist. We also study the thermal partition function of a mass deformed version of the SYK model. At large mass we show that the effective entropy of this theory grows with energy like $E \ln E$ (i.e. faster than Hagedorn) up to energies of order $N^2$. The canonical partition function of the model displays a deconfinement or Hawking Page type phase transition at temperatures of order $1/\ln N$. We derive these results in the large mass limit but argue that they are qualitatively robust to small corrections in $J/m$.

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Dates: 2017-07-282018-01-252018
Publication Status: Published in print
Pages: 60 pages, 7 figures
Publishing info: -
Rev. Method: -
Identifiers: arXiv: 1707.09352
URI: http://arxiv.org/abs/1707.09352
DOI: 10.1007/JHEP06(2018)094
Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2018 (06) Sequence Number: 094 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002