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Despite the numerous successful applications of lattice QCD in nuclear and particle theory, fundamental algorithmic challenges remain. Among those, relevant for numerical studies of QCD on a space-time torus, is topological freezing--a form…

High Energy Physics - Lattice · Physics 2016-12-07 Michael G. Endres

This paper presents a formulation of lattice fermions applicable to all quark masses, large and small. We incorporate interactions from previous light-fermion and heavy-fermion methods, and thus ensure a smooth connection to these limiting…

High Energy Physics - Lattice · Physics 2008-11-26 Aida X. El-Khadra , Andreas S. Kronfeld , Paul B. Mackenzie

We determine the topological susceptibility of the gauge configurations generated by lattice simulations using two flavors of optimal domain-wall fermion on the $ 16^3 \times 32 $ lattice with length 16 in the fifth dimension, at the…

High Energy Physics - Lattice · Physics 2015-03-19 Ting-Wai Chiu , Tung-Han Hsieh , Yao-Yuan Mao

Many results from lattice QCD of broad importance to particle and nuclear physics are obtained with 2+1 flavors of staggered sea quarks. In the continuum limit, staggered fermions yield four species, called tastes. To reduce the number of…

High Energy Physics - Lattice · Physics 2011-06-10 Andreas S. Kronfeld

We calculate perturbative renormalization properties of the topological charge, using the standard lattice discretization given by a product of twisted plaquettes. We use the overlap and clover action for fermions, and the Symanzik improved…

High Energy Physics - Lattice · Physics 2009-11-11 A. Skouroupathis , H. Panagopoulos

Two-dimensional CP**(N-1) models are used to compare the behavior of different cooling techniques on the lattice. Cooling is one of the most frequently used tools to study on the lattice the topological properties of the vacuum of a field…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , L. Cosmai , M. D'Elia , A. Papa

We study the topological and fermionic vacuum structure of four-dimensional QCD on the lattice by means of correlators of fermionic observables and topological densities. We show the existence of strong local correlations between the…

High Energy Physics - Lattice · Physics 2009-10-31 Harald Markum , Wolfgang Sakuler , Stefan Thurner

We present results on QCD with four dynamical flavors in the temperature range $0.9 \lesssim T/T_c \lesssim 2$. We have performed lattice simulations with Wilson fermions at maximal twist and measured the topological charge with gluonic and…

High Energy Physics - Lattice · Physics 2018-03-14 Florian Burger , Ernst-Michael Ilgenfritz , Maria Paola Lombardo , Michael Müller-Preussker , Anton Trunin

We propose the formulation of lattice QCD wherein all elements of the theory (gauge action, fermionic action, theta-term, and all operators) are constructed from a single object, namely the lattice Dirac operator D with exact chiral…

High Energy Physics - Lattice · Physics 2007-05-23 Ivan Horvath

We investigate topological charge and the index theorem on finite lattices numerically. Using mean field improved gauge field configurations we calculate the topological charge Q using the gluon field definition with ${\cal…

High Energy Physics - Lattice · Physics 2010-03-04 J. B. Zhang , S. O. Bilson-Thompson , F. D. R. Bonnet , D. B. Leinweber , A. G. Williams , J. M. Zanotti

We investigate the interplay between topological charge and the spectrum of the fermion matrix in lattice-QED_2 using analytic methods and Monte Carlo simulations with dynamical fermions. A new theorem on the spectral decomposition of the…

High Energy Physics - Lattice · Physics 2009-10-30 C. R. Gattringer , I. Hip , C. B. Lang

I review the substantial progress which has been made recently with the non-perturbative construction of chiral gauge theories on the lattice. In particular, I discuss three different approaches: a gauge invariant method using fermions…

High Energy Physics - Lattice · Physics 2009-10-31 Maarten Golterman

In this paper we demonstrate the use of multivariate topological algorithms to analyse and interpret Lattice Quantum Chromodynamics (QCD) data. Lattice QCD is a long established field of theoretical physics research in the pursuit of…

High Energy Physics - Lattice · Physics 2020-08-10 Dean P. Thomas , Rita Borgo , Robert S. Laramee , Simon J. Hands

We examine how dynamical fermions affect both the UV and infrared structure of the QCD vacuum. We consider large $28^3 \times 96$ lattices from the MILC collaboration, using a gluonic definition of the topological charge density, founded on…

High Energy Physics - Lattice · Physics 2009-01-09 Peter J. Moran , Derek B. Leinweber

The quantum simulation of topological phases in (2+1)D quantum electrodynamics with Wilson fermions provides a promising route toward realizing topological phenomena in near-term lattice experiments. We show that the commonly used…

High Energy Physics - Lattice · Physics 2026-03-09 Sriram Bharadwaj , Emil Rosanowski , Simran Singh , Alice di Tucci , Changnan Peng , Karl Jansen , Lena Funcke , Di Luo

A recently developed lattice method for large numbers of strongly interacting nonrelativistic fermions exhibits a heavy tail in the distributions of correlators for large Euclidean time {\tau} and large number of fermions N, which only…

High Energy Physics - Lattice · Physics 2015-03-19 Jong-Wan Lee , Michael G. Endres , David B. Kaplan , Amy N. Nicholson

I begin by discussing the basic ideas of quantum field theory (QFT). I provide a review of symmetries in physics and then move on to discuss the quark model. I then review lattice gauge theory with particular attention paid to lattice QCD…

High Energy Physics - Lattice · Physics 2009-09-29 W Armour

We introduce LeapfrogLayers, an invertible neural network architecture that can be trained to efficiently sample the topology of a 2D $U(1)$ lattice gauge theory. We show an improvement in the integrated autocorrelation time of the…

High Energy Physics - Lattice · Physics 2022-01-17 Sam Foreman , Xiao-Yong Jin , James C. Osborn

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

We present a comparison of a number of iterative solvers of linear systems of equations for obtaining the fermion propagator in lattice QCD. In particular, we consider chirally invariant overlap and chirally improved Wilson (maximally)…

High Energy Physics - Lattice · Physics 2015-10-27 T. Chiarappa , K. Jansen , K. -I. Nagai , M. Papinutto , L. Scorzato , A. Shindler , C. Urbach , U. Wenger , I. Wetzorke
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