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Related papers: A Lorentzian inversion formula for defect CFT

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Some general properties of perturbed (rational) CFT in the background metric of symmetric 2D sphere of radius $R$ are discussed, including conformal perturbation theory for the partition function and the large $R$ asymptotic. The truncated…

High Energy Physics - Theory · Physics 2009-11-07 Al. Zamolodchikov

Compression of floating-point data will play an important role in high-performance computing as data bandwidth and storage become dominant costs. Lossy compression of floating-point data is powerful, but theoretical results are needed to…

Numerical Analysis · Mathematics 2024-07-03 James Diffenderfer , Alyson Fox , Jeffrey Hittinger , Geoffrey Sanders , Peter Lindstrom

We study the kinematics of correlation functions of local and extended operators in a conformal field theory. We present a new method for constructing the tensor structures associated to primary operators in an arbitrary bosonic…

High Energy Physics - Theory · Physics 2019-09-04 Edoardo Lauria , Marco Meineri , Emilio Trevisani

We discuss consequences of the breaking of conformal symmetry by a flat or spherical extended operator. We adapt the embedding formalism to the study of correlation functions of symmetric traceless tensors in the presence of the defect.…

High Energy Physics - Theory · Physics 2016-05-26 Marco Billò , Vasco Gonçalves , Edoardo Lauria , Marco Meineri

We review the assumptions on which the Monte Carlo renormalization technique is based, in particular the analyticity of the block spin transformations. On this basis, we select an optimized Kadanoff blocking rule in combination with the…

Condensed Matter · Physics 2016-08-15 H. W. J. Blöte , J. R. Heringa , A. Hoogland , E. W. Meyer , T. S. Smit

There has been recent controversy about the magnitude of spin-flipping in the heavy metal Pt, characterized by the spin-diffusion length, lsf(Pt) We propose a resolution of this controversy, and also present evidence for the importance of a…

Materials Science · Physics 2013-12-17 Hoang Yen Thi Nguyen , Jack Bass , William P. Pratt

In this study, we computed three critical exponents ($\alpha, \beta, \gamma$) for the 3D Ising model with Metropolis Algorithm using Finite-Size Scaling Analysis on six cube length scales (L=20,30,40,60,80,90), and performed a supervised…

Computational Physics · Physics 2024-11-06 Timothy A. Burt

We prove a multivariate central limit theorem with explicit error bound on a non-smooth function distance for sums of bounded decomposable $d$-dimensional random vectors. The decomposition structure is similar to that of Barbour, Karo\'nski…

Probability · Mathematics 2015-05-19 Xiao Fang

We develop an efficient method based on the linear regression algorithm to probe the cosmological CPT violation using the CMB polarisation data. We validate this method using simulated CMB data and apply it to recent CMB observations. We…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-06 Gong-Bo Zhao , Yuting Wang , Jun-Qing Xia , Mingzhe Li , Xinmin Zhang

For the first time, we develop in this paper the globally convergent convexification numerical method for a Coefficient Inverse Problem for the 3D Helmholtz equation for the case when the backscattering data are generated by a point source…

Numerical Analysis · Mathematics 2020-02-14 Vo Anh Khoa , Michael Victor Klibanov , Loc Hoang Nguyen

Multifractal Detrended Fluctuation Analysis (MFDFA) has emerged as a standard tool for characterizing scale invariance in complex systems, yet its application to discrete spin models is frequently marred by reports of ``spurious…

Statistical Mechanics · Physics 2026-04-01 Sebastian Jaroszewicz , Nahuel Mendez , Maria P. Beccar-Varela , Maria Cristina Mariani

We introduce a novel class of defects, termed crosscap defects, in conformal field theory (CFT) in general dimensions. These arise from quotienting the spacetime by a $Z_2$ automorphism, and provide higher-codimension generalisations of CFT…

High Energy Physics - Theory · Physics 2026-05-18 Nadav Drukker , Shota Komatsu , Anders Wallberg

We extend to strongly correlated molecular systems the recently introduced basis-set incompleteness correction based on density-functional theory (DFT) [E. Giner et al., J. Chem. Phys. 149, 194301 (2018)]. This basis-set correction relies…

Chemical Physics · Physics 2020-05-20 Emmanuel Giner , Anthony Scemama , Pierre-François Loos , Julien Toulouse

We perform a large-scale Monte Carlo simulation of the three-dimensional Ising model on simple cubic lattices of size L^3 with L=128 and 256. We determine the corresponding structure factor (Fourier transform of the two-point function) and…

Statistical Mechanics · Physics 2009-11-07 Victor Martin-Mayor , Andrea Pelissetto , Ettore Vicari

We deform a defect conformal field theory by an exactly marginal bulk operator and we consider the dependence on the marginal coupling of flat and spherical defect expectation values. For even dimensional spherical defects we find a…

High Energy Physics - Theory · Physics 2019-12-25 Lorenzo Bianchi

We study the 2-dimensional Ising model at critical temperature on a simply connected subset $\Omega_{\delta}$ of the square grid $\delta\mathbb{Z}^{2}$. The scaling limit of the critical Ising model is conjectured to be described by…

Mathematical Physics · Physics 2018-11-26 Reza Gheissari , Clément Hongler , S. C. Park

We develop upper bounds on code size for an independent and identically distributed deletion and insertion channels for a given code length and target frame error probability. The bounds are obtained as a variation of a general converse…

Information Theory · Computer Science 2026-04-14 Ruslan Morozov , Tolga Mete Duman

We apply the Lorentzian path integral to the decay of a false vacuum and estimate the false-vacuum decay rate. To make the Lorentzian path integral convergent, the deformation of an integral contour is performed by following the…

High Energy Physics - Theory · Physics 2024-12-13 Takumi Hayashi , Kohei Kamada , Naritaka Oshita , Jun'ichi Yokoyama

We constrain the spectrum of two-dimensional unitary, compact conformal field theories with central charge c > 1 using modular bootstrap. Upper bounds on the gap in the dimension of primary operators of any spin, as well as in the dimension…

High Energy Physics - Theory · Physics 2016-08-23 Scott Collier , Ying-Hsuan Lin , Xi Yin

Using numerical conformal bootstrap technology we perform a non-perturbative study of the Ising CFT and its spectrum from infinitesimal to finite values of $\varepsilon=4-d$. Exploiting the recent navigator bootstrap method in conjunction…

High Energy Physics - Theory · Physics 2023-03-22 Johan Henriksson , Stefanos R. Kousvos , Marten Reehorst