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 …
Non-perturbative defects in tensor models from melonic trees
A bstract The Klebanov-Tarnopolsky tensor model is a quantum field theory for rank-three
tensor scalar fields with certain quartic potential. The theory possesses an unusual large N …
tensor scalar fields with certain quartic potential. The theory possesses an unusual large N …
Asymptotic freedom in a strongly interacting scalar quantum field theory in four Euclidean dimensions
We show that scalar quantum field theory in four Euclidean dimensions with global O (N) 3
symmetry and imaginary tetrahedral coupling is asymptotically free and bounded from below …
symmetry and imaginary tetrahedral coupling is asymptotically free and bounded from below …
Quantum Gravity and Random Tensors
Random tensors are the natural generalization of random matrices to higher order objects.
They provide generating functions for random geometries and, assuming some familiarity …
They provide generating functions for random geometries and, assuming some familiarity …
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 …
Coupling renormalization flow in the strongly interacting regime of an asymptotically free quantum field theory in four dimensions
We consider a scalar quantum field theory with global O (N) 3 symmetry in four Euclidean
dimensions and solve it numerically in closed form in the large-N limit. For imaginary …
dimensions and solve it numerically in closed form in the large-N limit. For imaginary …
The F-theorem in the melonic limit
JHEP02(2022)147 Page 1 JHEP02(2022)147 Published for SISSA by Springer Received:
December 3, 2021 Accepted: February 3, 2022 Published: February 17, 2022 The F-theorem …
December 3, 2021 Accepted: February 3, 2022 Published: February 17, 2022 The F-theorem …
Flowing in discrete gravity models and Ward identities: a review
D Ousmane Samary, V Lahoche… - The European Physical …, 2021 - Springer
Ward–Takahashi identities are nonperturbative relations between correlation functions and
arising from symmetries in quantum and statistical fields theories, as Noether currents …
arising from symmetries in quantum and statistical fields theories, as Noether currents …
Hints of unitarity at large N in the O (N) 3 tensor field theory
A bstract We compute the OPE coefficients of the bosonic tensor model of [1] for three point
functions with two fields and a bilinear with zero and non-zero spin. We find that all the OPE …
functions with two fields and a bilinear with zero and non-zero spin. We find that all the OPE …
Long-range multi-scalar models at three loops
We compute the three-loop beta functions of long-range multi-scalar models with general
quartic interactions. The long-range nature of the models is encoded in a kinetic term with a …
quartic interactions. The long-range nature of the models is encoded in a kinetic term with a …