The 1 / N Expansion of the Symmetric Traceless and the Antisymmetric Tensor Models in Rank Three

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作者
Dario Benedetti
Sylvain Carrozza
Razvan Gurau
Maciej Kolanowski
机构
[1] Univ.Paris-Sud,Laboratoire de Physique Théorique, CNRS
[2] Université Paris-Saclay,Centre de Physique Théorique, CNRS, École Polytechnique
[3] Perimeter Institute for Theoretical Physics,Faculty of Physics
[4] Université Paris-Saclay,undefined
[5] University of Warsaw,undefined
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We prove rigorously that the symmetric traceless and the antisymmetric tensor models in rank three with tetrahedral interaction admit a 1 / N expansion, and that at leading order they are dominated by melon diagrams. This proves the recent conjecture of Klebanov and Tarnopolsky (JHEP 10:037, 2017. arXiv:1706.00839), which they checked numerically up to 8th order in the coupling constant.
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页码:55 / 97
页数:42
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