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In this paper, we propose an extended plane wave framework to make the electronic structure calculations of the twisted bilayer 2D material systems practically feasible. Based on the foundation in [Y. Zhou, H. Chen, A. Zhou, J. Comput.…

计算物理 · 物理学 2023-01-05 Xiaoying Dai , Aihui Zhou , Yuzhi Zhou

Superstring scattering from orientifold planes requires considering string amplitudes on world-sheets with crosscaps with the lowest order case (in string coupling constant) having the topology of the real projective plane. While amplitudes…

高能物理 - 理论 · 物理学 2025-02-20 Andreas Bischof , Stephan Stieberger

Lattices are deceptively simple mathematical structures that have become indispensable for code design for physical layer communications. While lattice-related problems are interesting in their own right, the usefulness of these discrete…

信息论 · 计算机科学 2017-06-21 Amaro Barreal

I define the lattice propagator on a very general collection of graphs, namely graphs locally isomorphic to $\mathbb{Z}^{d}\times \mathbb{Z}$. I then define polygonal approximations to the minkowski metric and define a corresponding lattice…

数学物理 · 物理学 2023-09-19 Rory O'Dwyer

We discuss the propagation of electromagnetic waves on a rectangular lattice of polarizable point dipoles. For wavelengths long compared to the lattice spacing, we obtain the dispersion relation in terms of the lattice spacing and the…

天体物理学 · 物理学 2007-05-23 D. Gutkowicz-Krusin , B. T. Draine

We review some of the recent developments in the construction of $W$-string theories. These are generalisations of ordinary strings in which the two-dimensional ``worldsheet'' theory, instead of being a gauging of the Virasoro algebra, is a…

高能物理 - 理论 · 物理学 2007-05-23 C. N. Pope

We study the diffusion phenomena on the negatively curved surface made up of congruent heptagons. Unlike the usual two-dimensional plane, this structure makes the boundary increase exponentially with the distance from the center, and hence…

统计力学 · 物理学 2008-07-15 Seung Ki Baek , Su Do Yi , Beom Jun Kim

We study the action of a lattice in the group SL(2,R) on the plane. We obtain a formula which simultaneously describes visits of an orbit to either a fixed ball, or an expanding or contracting family of annuli. We also discuss the…

动力系统 · 数学 2010-01-28 Francois Maucourant , Barak Weiss

In this paper we show that Ultradistributions of Exponential Type (UET) are appropriate for the description in a consistent way world sheet superstring and superstring field theories. A new Lagrangian for the closed world sheet superstring…

高能物理 - 理论 · 物理学 2010-02-13 C. G. Bollini , A. L. De Paoli , M. C. Rocca

The recently proposed worldsheet formulation of lattice fermions is tested for the first time carrying out a simulation for the simplest model: the one-flavor, strictly massless lattice Schwinger model. A main advantage of this alternative…

高能物理 - 格点 · 物理学 2009-10-30 H. Fort

Effective Quantum Field Theories and QCD Lattice methods have become more and more complementary and mutually supportive in the study of Hard Probes. I present some of the progress that this alliance already delivered and I discuss future…

高能物理 - 唯象学 · 物理学 2020-10-29 Nora Brambilla

In this letter, we experimentally investigate the directional characteristics of propagating, finite-amplitude wave packets in lattice materials, with an emphasis on the functionality enhancement due to the nonlinearly-generated higher…

斑图形成与孤子 · 物理学 2017-06-27 R. Ganesh , Stefano Gonella

We study gluon propagator in Landau gauge with lattice QCD, where we use an improved lattice action. The calculation of gluon propagator is performed on lattices with the lattice spacing from 0.40 fm to 0.24 fm and with the lattice volume…

高能物理 - 格点 · 物理学 2009-10-31 J. P. Ma

We construct one dimensional exactly solvable model by choosing a probe fundamental string rotating and pulsating in the planar Lifshitz spacetime that follows nonrelativistic Lifshitz scaling. We present suitable sets of embedding…

高能物理 - 理论 · 物理学 2025-10-07 Adrita Chakraborty

This paper studies the differential lattice, defined to be a lattice $L$ equipped with a map $d:L\to L$ that satisfies a lattice analog of the Leibniz rule for a derivation. Isomorphic differential lattices are studied and classifications…

环与代数 · 数学 2021-06-17 Aiping Gan , Li Guo

A spreadsheet is remarkably flexible in representing various forms of structured data, but the individual cells have no knowledge of the larger structures of which they may form a part. This can hamper comprehension and increase formula…

软件工程 · 计算机科学 2018-01-29 Alan Hall , Michel Wermelinger , Tony Hirst , Santi Phithakkitnukoon

We propose the use of lattice field theory for the study of string field theory at the non-perturbative quantum level. We identify many potential obstacles and examine possible resolutions thereof. We then experiment with our approach in…

高能物理 - 理论 · 物理学 2014-10-22 Francis Bursa , Michael Kroyter

Tables have been an ever-existing structure to store data. There exist now different approaches to store tabular data physically. PDFs, images, spreadsheets, and CSVs are leading examples. Being able to parse table structures and extract…

计算机视觉与模式识别 · 计算机科学 2022-01-06 Susie Xi Rao , Johannes Rausch , Peter Egger , Ce Zhang

At the tree level, the scattering processes involving open and closed strings are described by a disk world-sheet with vertex operator insertions at the boundary and in the bulk. Such amplitudes can be decomposed as certain linear…

高能物理 - 理论 · 物理学 2016-02-17 Stephan Stieberger , Tomasz R. Taylor

We study front propagation and diffusion in the reaction-diffusion system A $\leftrightharpoons$ A + A on a lattice. On each lattice site at most one A particle is allowed at any time. In this paper, we analyze the problem in the full range…

统计力学 · 物理学 2009-11-07 Debabrata Panja , Goutam Tripathy , Wim van Saarloos