Results 11 to 20 of about 113,447 (317)
Comm. Math. Phys. 374 (2020) 1179, 2018 We propose a new application of random tensor theory to studies of non-linear random flows in many variables. Our focus is on non-linear resonant systems which often emerge as weakly non-linear approximations to problems whose linearized perturbations possess highly resonant spectra of frequencies (non-linear Schr\"odinger equations for Bose-Einstein ...
Dartois, Stéphane +4 more
arxiv +6 more sources
arXiv, 2020 The melonic limit is a relatively new type of large-$N$ limit, differing from the much older and well-known large-$N$ limits of vector and matrix field theories, which are dominated by cactus and planar Feynman diagrams, respectively. The melonic limit typically appears in tensor field theories, characterized by an invariance group in which the fields ...
arxiv +5 more sources
Melons are branched polymers [PDF]
Annales Henri Poincaré, 2013 Melonic graphs constitute the family of graphs arising at leading order in the 1/N expansion of tensor models. They were shown to lead to a continuum phase, reminiscent of branched polymers. We show here that they are in fact precisely branched polymers, that is, they possess Hausdorff dimension 2 and spectral dimension 4/3.
Razvan Gurau +2 more
arxiv +6 more sources
On Melonic Supertensor Models [PDF]
Journal of High Energy Physics, 2018 We investigate a class of supersymmetric quantum mechanical theories (with two supercharges) having tensor-valued degrees of freedom which are dominated by melon diagrams in the large $N$ limit. One motivation was to examine the interplay between supersymmetry and melonic dominance and potential implications for building toy models of holography.
Chi-Ming Chang +2 more
arxiv +7 more sources
Journal of High Energy Physics, 2018 We classify a large set of melonic theories with arbitrary $q$-fold interactions, demonstrating that the interaction vertices exhibit a range of symmetries, always of the form $\mathbb{Z}_2^n$ for some $n$, which may be $0$. The number of different theories proliferates quickly as $q$ increases above $8$ and is related to the problem of counting one ...
Steven S. Gubser +3 more
arxiv +7 more sources
Motives of melonic graphs [PDF]
Ann. Inst. Henri Poincare D 10 (2023), no. 3, 503-554, 2020 We investigate recursive relations for the Grothendieck classes of the affine graph hypersurface complements of melonic graphs. We compute these classes explicitly for several families of melonic graphs, focusing on the case of graphs with valence-$4$ internal vertices, relevant to CTKT tensor models.
Aluffi, Paolo +2 more
arxiv +3 more sources
The Papaya, or Tree Melon [PDF]
Scientific American, 1921 n ...
Wm. A. Murrill
openalex +4 more sources
Melonic limits of the quartic Yukawa model and general features of melonic CFTs [PDF]
arXivWe study a set of large-$N$ tensor field theories with a rich structure of fixed points, encompassing both the melonic and prismatic CFTs observed previously in the conformal limits of other tensor theories and in the generalised Sachdev-Ye-Kitaev (SYK) model.
Ludo Fraser-Taliente, John Wheater
arxiv +5 more sources
Screening and Identification of Saline-Tolerant Germplasm in Melon
Agriculture, 2023 Melon (Cucumis melo L.) holds significant importance as a horticultural crop, but it faces several yield-limiting factors, including salinity stress.
Wenli Yang +4 more
doaj +1 more source