RG flows and fixed points of O (N) r models
C Jepsen, Y Oz - Journal of High Energy Physics, 2024 - Springer
A bstract By means of ϵ and large N expansions, we study generalizations of the O (N)
model where the fundamental fields are tensors of rank r rather than vectors, and where the …
model where the fundamental fields are tensors of rank r rather than vectors, and where the …
Quantum Gravity and Random Tensors
R Gurau, V Rivasseau - ar** subject of tensor models for the NAdS $ _2 $/NCFT $ _1 $
holographic correspondence. We include a brief review of the Sachdev-Ye-Kitaev (SYK) …
holographic correspondence. We include a brief review of the Sachdev-Ye-Kitaev (SYK) …
Notes on tensor models and tensor field theories
RG Gurau - Ann. Inst. H. Poincare D Comb. Phys. Interact., 2022 - content.ems.press
Tensor models and tensor field theories admit a 1= N expansion and a melonic large N limit
which is simpler than the planar limit of random matrices and richer than the large N limit of …
which is simpler than the planar limit of random matrices and richer than the large N limit of …
Phases of melonic quantum mechanics
F Ferrari, FI Schaposnik Massolo - Physical Review D, 2019 - APS
We explore in detail properties of two melonic quantum mechanical theories which can be
formulated either as fermionic matrix quantum mechanics in the new large D limit, or as …
formulated either as fermionic matrix quantum mechanics in the new large D limit, or as …
Line of fixed points in a bosonic tensor model
A bstract We consider the O (N) 3 tensor model of Klebanov and Tarnopolsky [1] in d< 4 with
a free covariance modified to fit the infrared conformal scaling. We study the renormalization …
a free covariance modified to fit the infrared conformal scaling. We study the renormalization …
2PI effective action for the SYK model and tensor field theories
JHEP05(2018)156 Page 1 JHEP05(2018)156 Published for SISSA by Springer Received: March
9, 2018 Revised: April 23, 2018 Accepted: May 22, 2018 Published: May 24, 2018 2PI effective …
9, 2018 Revised: April 23, 2018 Accepted: May 22, 2018 Published: May 24, 2018 2PI effective …
Universal critical behavior in tensor models for four-dimensional quantum gravity
A bstract Four-dimensional random geometries can be generated by statistical models with
rank-4 tensors as random variables. These are dual to discrete building blocks of random …
rank-4 tensors as random variables. These are dual to discrete building blocks of random …
A two-tensor model with order-three
B Kang, LY Wang, K Wu, WZ Zhao - The European Physical Journal C, 2024 - Springer
We construct a two-tensor model with order-3 and present its W-representation. Moreover
we derive the compact expressions of correlators from the W-representation and analyze the …
we derive the compact expressions of correlators from the W-representation and analyze the …
Exact moments of the Sachdev-Ye-Kitaev model up to order 1/N2
A bstract We analytically evaluate the moments of the spectral density of the q-body
Sachdev-Ye-Kitaev (SYK) model, and obtain order 1/N 2 corrections for all moments, where …
Sachdev-Ye-Kitaev (SYK) model, and obtain order 1/N 2 corrections for all moments, where …