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We introduce topological methods for quantifying spatially heterogeneous dynamics, and use these tools to analyze particle-tracking data for a quasi-two-dimensional granular system of air-fluidized beads on approach to jamming. In…

Soft Condensed Matter · Physics 2007-08-30 A. R. Abate , D. J. Durian

In semi-supervised segmentation, capturing meaningful semantic structures from unlabeled data is essential. This is particularly challenging in histopathology image analysis, where objects are densely distributed. To address this issue, we…

Computer Vision and Pattern Recognition · Computer Science 2025-10-03 Meilong Xu , Xiaoling Hu , Shahira Abousamra , Chen Li , Chao Chen

We compute fermionic observables relevant to the study of chiral symmetry in quenched QCD using the Overlap-Dirac operator for a wide range of the fermion mass. We use analytical results to disentangle the contribution from exact zero modes…

High Energy Physics - Lattice · Physics 2009-10-31 Robert G. Edwards , Urs M. Heller , Rajamani Narayanan

We propose a novel general approach to locality of lattice composite fields, which in case of QCD involves locality in both quark and gauge degrees of freedom. The method is applied to gauge operators based on the overlap Dirac matrix…

High Energy Physics - Lattice · Physics 2017-02-08 Andrei Alexandru , Ivan Horváth

Previous studies of the galaxy and galaxy cluster distribution in the local Universe found indications for a large extension of the Local Supercluster up to a radius of 190 h_70^-1 Mpc. We are using our large and highly complete CLASSIX…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-11 Hans Boehringer , Gayoung Chon , Joachim Truemper

Gapped two-dimensional gauge theories with massless fermions generically have rich vacuum structures consisting of many degenerate vacua related by the action of topological line operators. The algebra of such operators has been used to…

High Energy Physics - Theory · Physics 2026-01-26 Ross Dempsey , Anna-Maria E. Glück , Silviu S. Pufu , Benjamin T. Søgaard

We measure the low lying eigenmodes of an overlap Dirac operator on 2--flavor staggered configurations. By comparing the eigenmode distribution to the predictions of Random Matrix Theory we test to what accuracy staggered configurations…

High Energy Physics - Lattice · Physics 2008-11-26 Anna Hasenfratz , Roland Hoffmann

We discuss a phase structure of compact QED in four dimensions by considering the theory as a perturbed topological model. In this scenario we use the singular configuration with an appropriate regularization, and so obtain the results…

High Energy Physics - Theory · Physics 2007-05-23 Kentaroh Yoshida

We describe the topological cluster classification (TCC) algorithm. The TCC detects local structures with bond topologies similar to isolated clusters which minimise the potential energy for a number of monatomic and binary simple liquids…

Soft Condensed Matter · Physics 2013-12-25 Alex Malins , Stephen R. Williams , Jens Eggers , C. Patrick Royall

Two measures are defined to evaluate the coupling strength of smeared interpolating operators to hadronic states at a variety of momenta. Of particular interest is the extent to which strong overlap can be obtained with individual…

High Energy Physics - Lattice · Physics 2013-05-30 Dale S. Roberts , Waseem Kamleh , Derek B. Leinweber , M. S. Mahbub , Benjamin J. Menadue

We put forward a proposal for topological quantum critical points (tQCPs) separating non-invertible chiral topological orders in $(2+1)$ dimensions. We conjecture that these tQCPs can be captured by a family of scale-invariant field…

Strongly Correlated Electrons · Physics 2026-05-01 Tianyao Fang , Weicheng Ye , Zhengcheng Gu , Fei Zhou

The Glasgow reweighting method is evaluated for SU(2) lattice gauge theory at nonzero \mu and finite T. We establish that the ' overlap problem' of SU(3) measurements, in which the transition points determined from thermodynamic observables…

High Energy Physics - Lattice · Physics 2008-11-26 P. R. Crompton

The quarks in quenched QCD have an anomalous self-interaction in the flavor singlet Goldstone boson channel. This coupling is extracted from a graph with disconnected quark lines, and is used to infer the mass of the eta-prime meson in full…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas DeGrand , Urs M. Heller

We discuss topological aspects of cluster analysis and show that inferring the topological structure of a dataset before clustering it can considerably enhance cluster detection: theoretical arguments and empirical evidence show that…

Machine Learning · Computer Science 2022-07-04 Moritz Herrmann , Daniyal Kazempour , Fabian Scheipl , Peer Kröger

Flat space models with multiply connected topology, which have compact dimensions, are tested against the distribution of high-redshift ($z \geq 4$) quasars of the Sloan Digital Sky Survey (SDSS). When the compact dimensions are smaller in…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Hirokazu Fujii , Yuzuru Yoshii

Confined samples of liquid crystals are characterized by a variety of topological defects and can be exposed to external constraints such as extreme confinements with nontrivial topology. Here we explore the intrinsic structure of smectic…

Soft Condensed Matter · Physics 2021-02-03 René Wittmann , Louis B. G. Cortes , Hartmut Löwen , Dirk G. A. L. Aarts

We develop a new way to calculate the overlap of a boundary state with a finite volume bulk state in the truncated conformal space approach. We check this method in the thermally perturbed Ising model analytically, while in the scaling…

High Energy Physics - Theory · Physics 2021-02-24 Zoltan Bajnok , Tamas Lajos Tompa

We forecast and optimize the cosmological power of various weak-lensing aperture mass ($M_{\rm ap}$) map statistics for future cosmic shear surveys, including peaks, voids, and the full distribution of pixels (1D $M_{\rm ap}$). These…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-10 Nicolas Martinet , Joachim Harnois-Déraps , Eric Jullo , Peter Schneider

The mixed-valence compound SmB6 with partially filled samarium 4f flat bands hybridizing with 5d conduction bands is a paramount example of a correlated topological heavy-fermion system. In this study we revisit the topology of SmB6 with…

Strongly Correlated Electrons · Physics 2024-09-04 Mikel Iraola , Iñigo Robredo , TItus Neupert , Juan L. Mañes , Roser Valentí , Maia G. Vergniory

We report the {\em first} systematic study of the supercluster-void network in the $\Lambda$CDM concordance cosmology treating voids and superclusters on an equal footing. We study the dark matter density field in real space smoothed with…

Astrophysics · Physics 2009-11-10 Sergei F. Shandarin