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Numerical simulations of brittle fracture using phase-field approaches often employ a discrete approximation framework that applies the same order of interpolation for the displacement and phase-field variables. Most common is to use linear…

Numerical Analysis · Mathematics 2019-04-30 Juan Michael Sargado , Eirik Keilegavlen , Inga Berre , Jan Martin Nordbotten

We explore how matrix bootstrap techniques can be used to constrain matrix and tensor models at finite $N$, where $N$ is the dimension of the matrix/tensor, taking a Gaussian model with a quartic interaction as example. For matrix models,…

High Energy Physics - Theory · Physics 2026-05-04 Samuel Laliberte , Reiko Toriumi

The $\eta$ and $\eta^\prime$ transition form factors in the space-like region are analyzed at low and intermediate energies in a model-independent way through the use of rational approximants. The slope and curvature parameters of the form…

High Energy Physics - Phenomenology · Physics 2015-06-19 Rafel Escribano

This paper explores the numerical conformal bootstrap in general spacetime dimensions through the lens of a distinct category of analytic functionals, previously employed in two-dimensional studies. We extend the application of these…

High Energy Physics - Theory · Physics 2024-08-30 Kausik Ghosh , Zechuan Zheng

In this paper, we present explicit expressions for conforming finite element function spaces, basis functions, and degrees of freedom on the pentatope and tetrahedral prism elements. More generally, our objective is to construct finite…

Numerical Analysis · Mathematics 2023-08-15 David M. Williams , Nilima Nigam

We study the two-point function of local operators in the critical O(N) model in the presence of a magnetic field localized on a line. We use a recently developed conformal dispersion relation to compute the correlator at first order in the…

High Energy Physics - Theory · Physics 2023-05-03 Lorenzo Bianchi , Davide Bonomi , Elia de Sabbata

Constraints related to transformations of currents under space-time translations have been considered for the relativistic quantum mechanics calculation of form factors of J=0 systems composed of scalar constituents with equal masses.…

Nuclear Theory · Physics 2009-07-17 Bertrand Desplanques , Yu-Bing Dong

We extend a recent analysis of the pion electromagnetic form factor constrained by the conformal symmetry to explore the time-like region. We show explicitly that the time-like form factor obtained by the analytic continuation of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ho-Meoyng Choi , Chueng-Ryong Ji

We propose a method for calculating dynamical correlation functions at finite temperature in integrable lattice models of Yang-Baxter type. The method is based on an expansion of the correlation functions as a series over matrix elements of…

Statistical Mechanics · Physics 2020-08-04 Frank Göhmann , Michael Karbach , Andreas Klümper , Karol K. Kozlowski , Junji Suzuki

The extraction of the $B\to K^*$ transition form factors from lattice data is studied, applying non-relativistic effective field theory in a finite volume. The possible mixing of $\pi K$ and $\eta K$ states is taken into account. The…

High Energy Physics - Lattice · Physics 2016-08-24 Andria Agadjanov , Véronique Bernard , Ulf-G. Meißner , Akaki Rusetsky

We consider finite volume effects on the electromagnetic form factor of the pion. We compute the peudoscalar-vector-pseudoscalar correlator in the $\epsilon$ expansion of chiral perturbation theory up to the next-to-leading order and find a…

High Energy Physics - Lattice · Physics 2014-12-31 Hidenori Fukaya , Takashi Suzuki

We calculate the transition form factor between vector and pseudoscalar quarkonia in both the timelike and the spacelike region using light-front dynamics. We investigate the frame dependence of the form factors for heavy quarkonia with…

Nuclear Theory · Physics 2019-08-19 Meijian Li , Yang Li , Pieter Maris , James P. Vary

We derive formalism for determining $\textbf{2} + \mathcal J \to \textbf{2}$ infinite-volume transition amplitudes from finite-volume matrix elements. Specifically, we present a relativistic, model-independent relation between finite-volume…

High Energy Physics - Lattice · Physics 2016-07-20 Raúl A. Briceño , Maxwell T. Hansen

We study the asymptotic volume dependence of the heavy-heavy-light three-point functions in the $\mathcal{N}=4$ Super-Yang-Mills theory using the hexagon bootstrap approach, where the volume is the length of the heavy operator. We extend…

High Energy Physics - Theory · Physics 2017-02-01 Yunfeng Jiang

We apply the nonstandard loop quantum cosmology method to quantize a flat Friedmann-Robertson-Walker cosmological model with a free scalar field and the cosmological constant $\Lambda>0$. Modification of the Hamiltonian in terms of loop…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Jakub Mielczarek , Wlodzimierz Piechocki

Developing engineering systems that rely on flow-induced reconfiguration, the phenomenon where a structure deforms under flow to reduce its drag, requires design tools that can predict the behavior of these flexible structures. Current…

Materials Science · Physics 2024-06-11 Danick Lamoureux , Sophie Ramananarivo , David Melancon , Frédérick P. Gosselin

Field-level inference is emerging as a promising technique for optimally extracting information from cosmological datasets. Indeed, previous analyses have shown field-based inference produces tighter parameter constraints than power…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-04 Supranta S. Boruah , Eduardo Rozo

Using $\phi^4$ field theory and Monte Carlo (MC) simulation we investigate the finite-size effects of the magnetization $M$ for the three-dimensional Ising model in a finite cubic geometry with periodic boundary conditions. The field theory…

Statistical Mechanics · Physics 2009-10-31 X. S. Chen , V. Dohm , D. Stauffer

In contrast to lattice systems where powerful numerical techniques such as matrix product state based methods are available to study the non-equilibrium dynamics, the non-equilibrium behaviour of continuum systems is much harder to…

Statistical Mechanics · Physics 2019-03-20 Tibor Rakovszky , Márton Mestyán , Mario Collura , Márton Kormos , Gábor Takács

We study 2d Ising Field Theory (IFT) in the low-temperature phase in lightcone quantization, and show that integrating out zero modes generates a very compact form for the effective lightcone interaction that depends on the finite volume…

High Energy Physics - Theory · Physics 2025-06-11 A. Liam Fitzpatrick , Emanuel Katz , Yuan Xin