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We study the propagation of quasi-discrete microwave solitons in a nonlinear left-handed coplanar waveguide coupled with split ring resonators. By considering the relevant transmission line analogue, we derive a nonlinear lattice model…

Pattern Formation and Solitons · Physics 2015-05-20 G. P. Veldes , J. Cuevas , P. G. Kevrekidis , D. J. Frantzeskakis

We discuss the hard-hexagon and hard-square problems, as well as the corresponding problem on the honeycomb lattice. The case when the activity is unity is of interest to combinatorialists, being the problem of counting binary matrices with…

Statistical Mechanics · Physics 2008-11-26 R. J. Baxter

Applying domain decomposition to the lattice Dirac operator and the associated quark propagator, we arrive at expressions which, with the proper insertion of random sources therein, can provide improvement to the estimation of the…

High Energy Physics - Lattice · Physics 2009-11-11 Tommy Burch , Christian Hagen

The compatibility of the results from the Gribov-Zwanziger tree level prediction and lattice simulations, using large statistical ensembles, for the Landau gauge gluon propagator are investigated, thereby complementing earlier work using…

High Energy Physics - Lattice · Physics 2018-10-17 David Dudal , Orlando Oliveira , Paulo J. Silva

We consider the problem of finding the closest lattice point to a vector in n-dimensional Euclidean space when each component of the vector is available at a distinct node in a network. Our objectives are (i) minimize the communication cost…

Information Theory · Computer Science 2018-01-31 Maiara F. Bollauf , Vinay A. Vaishampayan , Sueli I. R. Costa

We investigate general observables of the complex Liouville string with worldsheet boundaries. We develop a universal formalism that reduces such observables to ordinary closed string amplitudes without boundaries, applicable to any…

High Energy Physics - Theory · Physics 2025-08-13 Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez

We discuss how lattice calculations can be a useful tool for the study of structure functions. Particular emphasis is given to the perturbative renormalization of the operators.

High Energy Physics - Phenomenology · Physics 2009-11-07 Stefano Capitani

We study form factors in the light-cone gauge world-sheet theory for strings in AdS_5 x S^5. We perturbatively calculate the two-particle form factor in a closed su(2) sector to one-loop in the near-plane-wave limit and to two-loops in the…

High Energy Physics - Theory · Physics 2015-06-16 Thomas Klose , Tristan McLoughlin

We analyze the properties of a class of improved lattice topological charge density operators, constructed by a smearing-like procedure. By optimizing the choice of the parameters introduced in their definition, we find operators having (i)…

High Energy Physics - Lattice · Physics 2009-10-28 C. Christou , A. Di Giacomo , H. Panagopoulos , E. Vicari

Recently, the character-word lattice structure has been proved to be effective for Chinese named entity recognition (NER) by incorporating the word information. However, since the lattice structure is complex and dynamic, most existing…

Computation and Language · Computer Science 2020-06-01 Xiaonan Li , Hang Yan , Xipeng Qiu , Xuanjing Huang

Many of the properties of graphene are tied to its lattice structure, allowing for tuning of charge carrier dynamics through mechanical strain. The graphene electro-mechanical coupling yields very large pseudomagnetic fields for small…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 Shuze Zhu , Joseph A. Stroscio , Teng Li

The quark propagator is at the core of lattice hadron spectrum calculations as well as studies in other nonperturbative schemes. We investigate the quark propagator with an improved staggered action (Asqtad) and an improved gluon action,…

High Energy Physics - Lattice · Physics 2010-03-04 P. O. Bowman , U. M. Heller , D. B. Leinweber , A. G. Williams

We describe the most general homogenous, planar, light-ray-direction-changing sheet that performs one-to-one imaging between object space and image space. This is a non-trivial special case (of the sheet being homogenous) of an earlier…

Optics · Physics 2015-06-17 Stephen Oxburgh , Johannes Courtial

An effective way to design structured coherent wave interference patterns that builds on the theory of coherent lattices, is presented. The technique combines prime number factorization in the complex plane with moir\'e theory to provide a…

Pattern Formation and Solitons · Physics 2020-11-19 Dmitry Kouznetsov , Qingzhong Deng , Pol Van Dorpe , Niels Verellen

Miniaturized optical resonators with spatial dimensions of the order of the wavelength of the trapped light offer prospects for a variety of new applications like quantum processing or construction of meta-materials. Light propagation in…

Computational Physics · Physics 2009-05-28 L. Zschiedrich , S. Burger , B. Kettner , F. Schmidt

Twistoptics has recently emerged as a branch of nano-optics that explores light propagation in stacks of thin anisotropic layers rotated relative to one another. The concept is particularly relevant for polaritons -- hybrid light-matter…

Conference matrices are used to define complex structures on real vector spaces. Certain lattices in these spaces become modules for rings of quadratic integers. Multiplication of these lattices by non-principal ideals yields simple…

Number Theory · Mathematics 2007-05-23 Robin Chapman

The external fermion propagator and the internal fermion propagator in the overlap are given by different matrices. A generic problem (formulated by Pelissetto) faced by all chiral, non-local, propagators of Rebbi type is avoided in this…

High Energy Physics - Lattice · Physics 2009-10-31 Herbert Neuberger

We introduce a random lattice corresponding to ordinary Feynman diagrams, with 1/p-squared propagators instead of the Gaussians used in the usual strings. The continuum limit defines a new type of string action with two worldsheet metrics,…

High Energy Physics - Theory · Physics 2009-10-30 W. Siegel

We introduce a systematic method for constructing a class of lattice structures that we call ``partial line graphs''.In tight-binding models on partial line graphs, energy bands with flat energy dispersions emerge.This method can be applied…

Strongly Correlated Electrons · Physics 2009-11-11 Shin Miyahara , Kenn Kubo , Hiroshi Ono , Yoshihiro Shimomura , Nobuo Furukawa