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pro vyhledávání: '"Rychkov, A. A."'
Tensor network renormalization group maps study critical points of 2d lattice models like the Ising model by finding the fixed point of the RG map. In a prior work arXiv:2408.10312 we showed that by adding a rotation to the RG map, the Newton method
Externí odkaz:
http://arxiv.org/abs/2409.13012
In the tensor network approach to statistical physics, properties of the critical point of a 2D lattice model are encoded by a four-legged tensor which is a fixed point of an RG map. The traditional way to find the fixed point tensor consists in iter
Externí odkaz:
http://arxiv.org/abs/2408.10312
Autor:
Picoco, Claudia, Rychkov, Valentin
In this paper we propose a dynamic model of Common Cause Failures (CCF) that allows to generate common cause events in time. The proposed model is a generalization of Binomial Failure Rate Model (Atwood model) that can generate staggered failures of
Externí odkaz:
http://arxiv.org/abs/2406.08879
The rapid development of Large Language Models (LLMs) and Generative Pre-Trained Transformers(GPTs) in the field of Generative Artificial Intelligence (AI) can significantly impact task automation in themodern economy. We anticipate that the PRA fiel
Externí odkaz:
http://arxiv.org/abs/2406.01133
We study multiscalar theories with $\text{O}(N) \times \text{O}(2)$ symmetry. These models have a stable fixed point in $d$ dimensions if $N$ is greater than some critical value $N_c(d)$. Previous estimates of this critical value from perturbative an
Externí odkaz:
http://arxiv.org/abs/2405.19411
We consider the Renormalization Group (RG) fixed-point theory associated with a fermionic $\psi^4_d$ model in $d=1,2,3$ with fractional kinetic term, whose scaling dimension is fixed so that the quartic interaction is weakly relevant in the RG sense.
Externí odkaz:
http://arxiv.org/abs/2404.14904
Autor:
Rychkov, Slava, Su, Ning
The numerical conformal bootstrap has become in the last 15 years an indispensable tool for studying strongly coupled CFTs in various dimensions. Here we review the main developments in the field in the last 5 years, since the appearance of the previ
Externí odkaz:
http://arxiv.org/abs/2311.15844
We revisit critical phenomena in isotropic ferromagnets with strong dipolar interactions. The corresponding RG fixed point - dipolar fixed point - was first studied in 1973 by Aharony and Fisher. It is distinct from the Heisenberg fixed point, althou
Externí odkaz:
http://arxiv.org/abs/2309.02514
Autor:
Lao, Bing-Xin, Rychkov, Slava
Publikováno v:
SciPost Phys. 15, 243 (2023)
We consider the transverse field Ising model in $(2+1)$D, putting 12 spins at the vertices of the regular icosahedron. The model is tiny by the exact diagonalization standards, and breaks rotation invariance. Yet we show that it allows a meaningful c
Externí odkaz:
http://arxiv.org/abs/2307.02540
Autor:
Rong, Junchen, Rychkov, Slava
Publikováno v:
SciPost Phys. 16, 040 (2024)
Classifying perturbative fixed points near upper critical dimensions plays an important role in understanding the space of conformal field theories and critical phases of matter. In this work, we consider perturbative fixed points of $N=5$ scalar bos
Externí odkaz:
http://arxiv.org/abs/2306.09419