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We investigate the space of massive two-dimensional theories with a global U(N) symmetry and no bound states. Following S-matrix bootstrap principles, we establish rigorous bounds on the space of consistent $2 \rightarrow 2$ scattering…

High Energy Physics - Theory · Physics 2025-04-30 Lucía Cordova , Ricardo Rodrigues

We consider the one-band Hubbard model on the square lattice by using variational and Green's function Monte Carlo methods, where the variational states contain Jastrow and backflow correlations on top of an uncorrelated wave function that…

Strongly Correlated Electrons · Physics 2016-11-17 Luca F. Tocchio , Federico Becca , Sandro Sorella

In this paper we initiate the study of maps minimising the energy $$ \int_{D} (|\nabla \u|^2+2|\u|)\ dx. $$ which, due to Lipschitz character of the integrand, gives rise to the singular Euler equations $$ \Delta…

Analysis of PDEs · Mathematics 2013-10-24 John Andersson , Henrik Shahgholian , Nina N. Uraltseva , Georg S. Weiss

We use the numerical conformal bootstrap to study boundary quantum electrodynamics, the theory of a four dimensional photon in a half space coupled to charged conformal matter on the boundary. This system is believed to be a boundary…

High Energy Physics - Theory · Physics 2023-12-14 Samuel Bartlett-Tisdall , Christopher P. Herzog , Vladimir Schaub

We study sequences of conformal deformations of a smooth closed Riemannian manifold of dimension $n$, assuming uniform volume bounds and $L^{n/2}$ bounds on their scalar curvatures. Singularities may appear in the limit. Nevertheless, we…

Differential Geometry · Mathematics 2021-12-22 Clara L. Aldana , Gilles Carron , Samuel Tapie

We consider homogeneous abelian vector fields in an expanding universe. We find a mechanical analogy in which the system behaves as a particle moving in three dimensions under the action of a central potential. In the case of bounded and…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 J. A. R. Cembranos , C. Hallabrin , A. L. Maroto , S. J. Núñez Jareño

We obtain the variational upper bound for the ground- state energy of two-dimensional antiferromagnetic Heisenberg model on a square lattice at arbitrary value of the anisotropy parameter using the two-dimensional generalization of…

Condensed Matter · Physics 2007-05-23 A. A. Ovchinnikov

We consider a family of linear viscoelastic shells with thickness $2\varepsilon$ ( $\varepsilon$ , small parameter), clamped along a portion of their lateral face, all having the same middle surface $S$. We formulate the three-dimensional…

Analysis of PDEs · Mathematics 2017-02-16 G. Castiñeira , Á. Rodríguez-Arós

We consider the problem of isotropic effective conductivity $\sigma_e(\sigma_1,\ldots,\sigma_n)$ in two-dimensional three- and four-phase symmetric composites with a partial isotropic conductivity $\sigma_j$ of the $j$-th phase. The upper…

Disordered Systems and Neural Networks · Physics 2025-12-24 Leonid Fel

We report on a theoretical study of the commensurability oscillations in a quasi-two-dimensional electron gas modulated by a unidirectional periodic potential and subjected to tilted magnetic fields with a strong in-plane component. As a…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Ludvik Smrcka

The purpose of this paper is to set out optimal gradient estimates for solutions to the isotropic conductivity problem in the presence of adjacent conductivity inclusions as the distance between the inclusions goes to zero and their…

Analysis of PDEs · Mathematics 2007-05-23 H. Ammari , H. Kang , H. Lee , J. Lee , M. Lim

We present a systematic study of the anisotropic spin-1/2 Heisenberg model in staggered magnetic fields in two dimensions (2D). To mimic real materials, we consider a system of coupled, antiferromagnetic chains, whose interchain interaction…

Statistical Mechanics · Physics 2011-10-17 Bin Xi , Shijie Hu , Jize Zhao , Gang Su , B. Normand , Xiaoqun Wang

Anisotropy effects on the finite-size critical behavior of a two-dimensional Ising model on a general triangular lattice in an infinite-strip geometry with periodic, antiperiodic, and free boundary conditions (bc) in the finite direction…

Statistical Mechanics · Physics 2012-10-05 Boris Kastening

We consider (a) the partition functions of the anisotropic dimer model on the rectangular (2M-1) x (2N-1) lattice with free and cylindrical boundary conditions with a single monomer residing on the boundary and (b) the partition function of…

Statistical Mechanics · Physics 2016-10-26 Nickolay Izmailian , Ralph Kenna , Wenan Guo , Xintian Wu

On a dense energy grid reaching up to 75 meV electron collision energy the fragmentation angle and the kinetic energy release of neutral dissociative recombination fragments have been studied in a twin merged beam experiment. The anisotropy…

We study phenomenologically by using the previously derived Landau free energy, the role of anisotropy in ferromagnetic superconductors UGe2, URhGe, and UCoGe. The three compounds are separately discussed with the special stress on UGe2.…

Superconductivity · Physics 2015-06-23 Diana V. Shopova , Michail D. Todorov

We extend the analysis by Esedo\={g}lu and Otto (2015) of thresholding energies for the celebrated multiphase Bence-Merriman-Osher algorithm for computing mean curvature flow of interfacial networks, to the case of differing space-dependent…

Analysis of PDEs · Mathematics 2025-03-27 Andrea Chiesa , Karel Svadlenka

This paper develops some new analytical solutions to the $f(\mathbb{R},\mathbb{T})$ field equations through extended gravitational decoupling. For this purpose, we take spherical anisotropic configuration as a seed source and extend it to…

General Relativity and Quantum Cosmology · Physics 2023-02-15 M. Sharif , Tayyab Naseer

Influence of uniaxial small-scale anisotropy and compressibility on the stability of scaling regime and on the anomalous scaling of structure functions of a scalar field is investigated in the model of a passive scalar field advected by the…

Chaotic Dynamics · Physics 2007-05-23 E. Jurcisinova , M. Jurcisin , R. Remecky , M. Scholtz

Besides the chemical constituents, it is the lattice geometry that controls the most important material properties. In many interesting compounds, the arrangement of elements leads to pronounced anisotropies, which reflect into a varying…

Strongly Correlated Electrons · Physics 2021-01-27 Benjamin Klebel , Thomas Schäfer , Alessandro Toschi , Jan M. Tomczak
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