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We measure the topological susceptibility of quenched QCD on the lattice at two high temperatures. For this, we define topology with the help of gradient flow and mitigate the statistical problem of topology at high temperatures using a…

High Energy Physics - Lattice · Physics 2018-11-01 P. Thomas Jahn , Guy D. Moore , Daniel Robaina

We study topology in Quantum Chromodynamics at high temperatures by means of lattice calculations. Simulations are performed with $N_f=2+1+1$ Wilson twisted mass fermions at maximal twist with physical quark masses, and temperatures…

High Energy Physics - Lattice · Physics 2025-09-08 A. Yu. Kotov , M. P. Lombardo , A. Trunin

The topology of an object describes global properties that are insensitive to local perturbations. Classic examples include string knots and the genus (number of handles) of a surface: no manipulation of a closed string short of cutting it…

Quantum Gases · Physics 2019-01-15 Nathan Schine , Michelle Chalupnik , Tankut Can , Andrey Gromov , Jonathan Simon

We compute the topological susceptibility for the SU(3) Yang--Mills theory by employing the expression of the topological charge density operator suggested by Neuberger's fermions. In the continuum limit we find r_0^4 chi = 0.059(3), which…

High Energy Physics - Theory · Physics 2009-11-10 Luigi Del Debbio , Leonardo Giusti , Claudio Pica

A susceptibility function ${\chi}(L)$ is introduced to quantify some aspects of the intermittent stick-slip dynamics of a rough metallic cylinder of length $L$ on a rough metallic incline submitted to small controlled perturbations and…

Statistical Mechanics · Physics 2009-11-10 V. P. Brito , R. F. Costa , M. A. F. Gomes , E. J. R. Parteli

Local constraint is closely related to the gauge field, so constrained models are usually effective low energy descriptions and important in condensed matter physics. On the other hand, local restriction hinders the application of numerical…

Statistical Mechanics · Physics 2022-10-11 Zheng Yan

In QCD simulations at small lattice spacings, the topological charge Q evolves very slowly and, if this quantity is not properly equilibrated, we could get incorrect results for physical quantities, or incorrect estimates of their errors.…

High Energy Physics - Lattice · Physics 2016-11-15 Claude Bernard , Doug Toussaint

We discuss properties of thermal Quantum Chromodynamics obtained by means of lattice simulations with overlap fermions. This fermion discretisation preserves chiral symmetry at finite lattice spacing. We present details of the formulation…

High Energy Physics - Lattice · Physics 2025-10-30 Z. Fodor , A. Yu. Kotov , T. G. Kovacs , K. K. Szabo

Fields exhibit a variety of topological properties, like different topological charges, when field space in the continuum is composed by more than one topological sector. Lattice treatments usually encounter difficulties describing those…

High Energy Physics - Lattice · Physics 2023-06-22 Pietro Dall'Olio , José A. Zapata

We show that the bulk winding number characterizing one-dimensional topological insulators with chiral symmetry can be detected from the displacement of a single particle, observed via losses. Losses represent the effect of repeated weak…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Tibor Rakovszky , Janos K. Asboth , Andrea Alberti

Finding microscopic models for metallic states that exhibit quantum critical properties such as $\omega/T$ scaling is a major theoretical challenge. We calculate the local dynamical spin susceptibility $\chi(T,\omega)$ for a Hubbard model…

Strongly Correlated Electrons · Physics 2017-04-07 Nagamalleswararao Dasari , N. S. Vidhyadhiraja , Mark Jarrell , Ross H. McKenzie

We show that the topological charge of nonabelian gauge theory is unphysical by using the fact that it always involves the unphysical gauge field component proportional to the gradient of the gauge function. The removal of Gribov copies,…

High Energy Physics - Theory · Physics 2022-12-22 Nodoka Yamanaka

We propose a generic scheme to characterize topological phases via detecting topological charges by quench dynamics. A topological charge is defined as the chirality of a monopole at Dirac or Weyl point of spin-orbit field, and topological…

Quantum Gases · Physics 2019-05-10 Long Zhang , Lin Zhang , Xiong-Jun Liu

The role of topology change in a fundamental theory of quantum gravity is still a matter of debate. However, when regarding string theory as two-dimensional quantum gravity, topological fluctuations are essential. Here we present a third…

High Energy Physics - Theory · Physics 2008-02-08 J. Ambjorn , R. Loll , Y. Watabiki , W. Westra , S. Zohren

In this thesis, we study chiral topological phases of 2+1 dimensional quantum matter. Such phases are abstractly characterized by their non-vanishing chiral central charge $c$, a topological invariant which appears as the coefficient of a…

Strongly Correlated Electrons · Physics 2021-06-22 Omri Golan

We determine the topological susceptibility in the SU(3) pure gauge theory. We perform a series of high-statistics lattice studies and take the combined continuum and infinite volume limit. We find chi_{top}r_0^4=0.0524(7)(6) which…

High Energy Physics - Lattice · Physics 2010-10-27 Stephan Durr , Zoltan Fodor , Christian Hoelbling , Thorsten Kurth

The theory of a complex scalar interacting with a pure Chern-Simons gauge field is quantized canonically. Dynamical and nondynamical variables are separated in a gauge-independent way. In the physical subspace of the full Hilbert space,…

High Energy Physics - Theory · Physics 2007-05-23 Qiong-gui Lin

We consider a superconformal quantum mechanical system which has been chosen on the basis of a local BRST topological invariance. We suggest that it truly leads to topological observables which we compute. The absences of a ground state and…

High Energy Physics - Theory · Physics 2009-10-22 L. Baulieu , E. Rabinovici

By virtue of harmonic maps on two-dimensional spheres (S$^{2}$), a topological quantization in spacetime is proposed. The discrete character of all physical quantities follows naturally. A Schwarzschild black hole, non-black hole and…

General Relativity and Quantum Cosmology · Physics 2025-12-30 M. Halilsoy , S. Habib Mazharimousavi

We study lattice QCD with a gauge action, which suppresses small plaquette values. Thus the MC history is confined to a single topological sector over a significant time, while other observables are decorrelated. This enables the cumulation…

High Energy Physics - Lattice · Physics 2009-11-10 S. Shcheredin , W. Bietenholz , K. Jansen , K. -I. Nagai , S. Necco , L. Scorzato