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We investigate the application of the density-matrix renormalization group (DMRG) algorithm to a one-dimensional harmonic oscillator chain and compare the results with exact solutions, aiming to improve the algorithm efficiency. It has been…

Quantum Physics · Physics 2015-06-19 Yongjun Ma , Jiaxiang Wang , Xinye Xu , Qi Wei , Sabre Kais

Band-trellis enumerative sphere shaping is proposed to decrease the energy variations in channel input sequences. Against sphere shaping, 0.74 dB SNR gain and up to 9% increase in data rates are demonstrated for single-span systems.

Signal Processing · Electrical Eng. & Systems 2022-01-11 Yunus Can Gültekin , Alex Alvarado , Olga Vassilieva , Inwoong Kim , Paparao Palacharla , Chigo Okonkwo , Frans M. J. Willems

We study thermal corrections to a model of real scalar dark matter (DM) interacting feebly with a SM fermion and a gauge-charged vector-like fermion mediator. We employ the Closed-Time-Path (CTP) formalism for our calculation and go beyond…

High Energy Physics - Phenomenology · Physics 2025-07-09 Mathias Becker , Emanuele Copello , Julia Harz , Carlos Tamarit

We discuss the Tensor Renormalization Group (TRG) method for the O(2) model with a chemical potential in 1+1 dimensions with emphasis on near gapless/conformal situations. We emphasize the role played by the late Leo Kadanoff in the…

High Energy Physics - Lattice · Physics 2016-11-22 Yannick Meurice , Li-Ping Yang , Judah Unmuth-Yockey , Yuzhi Liu , James Osborn , Zhiyuan Xie , Haiyuan Zou

We compute the two-loop effective field theory (EFT) power spectrum of dark matter density fluctuations in $\Lambda$CDM using the recently proposed COBRA method (Bakx. et al, 2025). With COBRA, we are able to evaluate the two-loop matter…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-11 Thomas Bakx , Henrique Rubira , Nora Elisa Chisari , Zvonimir Vlah

Group synchronization asks to recover group elements from their pairwise measurements. It has found numerous applications across various scientific disciplines. In this work, we focus on orthogonal and permutation group synchronization…

Information Theory · Computer Science 2022-02-23 Shuyang Ling

We present the one-loop 2-point function of biased tracers in redshift space computed with Lagrangian perturbation theory, including a full resummation of both long-wavelength (infrared) displacements and associated velocities. The…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-14 Shi-Fan Chen , Zvonimir Vlah , Emanuele Castorina , Martin White

Numerical renormalization group (NRG) calculations of quantum impurity models, based on a logarithmic discretization in energy of electronic or bosonic Hamiltonians, provide a powerful tool to describe physics involving widely separated…

Strongly Correlated Electrons · Physics 2009-11-13 Axel Freyn , Serge Florens

We present relativistic $N$-body simulations of a $\Lambda_{\rm s}$CDM - sign-switching cosmological constant (CC) - scenario under general relativity and compare its nonlinear matter power spectrum to $\Lambda$CDM at ${z =…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-13 Özgür Akarsu , Eleonora Di Valentino , Jiří Vyskočil , Ezgi Yılmaz , A. Emrah Yükselci , Alexander Zhuk

We show that it is essential to include renormalisation group (RG) effects for determining the SMEFT parameter space consistent with the CDF W-mass anomaly at the matching scale. This is because operators that are only weakly…

High Energy Physics - Phenomenology · Physics 2022-04-29 Rick S. Gupta

We perform the dimensional reduction of the linear $\sigma$ model at one-loop level. The effective potential of the reduced theory obtained from the integration over the nonzero Matsubara frequencies is exhibited. Thermal mass and coupling…

High Energy Physics - Theory · Physics 2015-06-26 A. P. C. Malbouisson , M. B. Silva-Neto , N. F. Svaiter

Perturbation theory (PT) has been used to interpret the observed nonlinear large-scale structure statistics at the quasi-linear regime. To facilitate the PT-based analysis, we have presented the GridSPT algorithm, a grid-based method to…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-18 Atsushi Taruya , Takahiro Nishimichi , Donghui Jeong

We propose an improved tensor renormalization group (TRG) algorithm, the bond-weighted TRG (BTRG). In BTRG, we generalize the conventional TRG by introducing bond weights on the edges of the tensor network. We show that BTRG outperforms the…

Statistical Mechanics · Physics 2022-03-03 Daiki Adachi , Tsuyoshi Okubo , Synge Todo

We analyze classical dimer models on the square and triangular lattice using a tensor network representation of the dimers. The correlation functions are numerically calculated using the recently developed "Tensor renormalization group"…

Strongly Correlated Electrons · Physics 2015-05-20 Krishanu Roychowdhury , Ching-Yu Huang

We calculate the single-particle spectral function A (k, omega) of a one-dimensional Luttinger liquid by means of a functional renormalization group (RG) approach. Given an infrared energy cutoff Lambda = Lambda_0 e^{- l}, our approach…

Strongly Correlated Electrons · Physics 2009-11-07 Tom Busche , Lorenz Bartosch , Peter Kopietz

A linearized tensor renormalization group (LTRG) algorithm is proposed to calculate the thermodynamic properties of one-dimensional quantum lattice models, that is incorporated with the infinite time-evolving block decimation technique, and…

Strongly Correlated Electrons · Physics 2011-04-05 Wei Li , Shi-Ju Ran , Shou-Shu Gong , Yang Zhao , Bin Xi , Fei Ye , Gang Su

We resum to next-to-leading order (NLO) the distribution in the light-cone momentum p+ = EX - |pX| and the spectrum in the electron energy, in the semileptonic decays B-> Xu l nu, where EX and pX are the total energy and three-momentum of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ugo Aglietti , Giulia Ricciardi , Giancarlo Ferrera

I compute the matter bispectrum of large-scale structure up to two loops in the Standard Perturbation Theory and up to three loops in the MPTbreeze renormalised perturbation theory, determining the contributing loop diagrams and evaluating…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-11 Andrei Lazanu

We review recent results concerning the renormalization group (RG) transformation of Dyson's hierarchical model (HM). This model can be seen as an approximation of a scalar field theory on a lattice. We introduce the HM and show that its…

High Energy Physics - Theory · Physics 2008-11-26 Y. Meurice

Perturbation theory of large-scale structures of the Universe at next-to-leading order and next-to-next-to-leading order provides us with predictions of cosmological statistics at sub-percent level in the mildly non-linear regime. Its use…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-08 Ken Osato , Takahiro Nishimichi , Atsushi Taruya , Francis Bernardeau
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