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In lattice quantum field theories with topological sectors, simulations at fine lattice spacings --- with typical algorithms --- tend to freeze topologically. In such cases, specific topological finite size effects have to be taken into…

High Energy Physics - Lattice · Physics 2015-10-30 Arthur Dromard , Wolfgang Bietenholz , Urs Gerber , Héctor Mejía-Díaz , Marc Wagner

Lattice QCD simulations tend to get stuck in a single topological sector at fine lattice spacing, or when using chirally symmetric quarks. In such cases computed observables differ from their full QCD counterparts by finite size effects,…

High Energy Physics - Lattice · Physics 2014-10-21 Arthur Dromard , Christopher Czaban , Marc Wagner

At small lattice spacing, or when using overlap fermions, lattice QCD simulations tend to become stuck in a single topological sector. Physical observables, e.g.\ hadron masses, then differ from their full QCD counterparts by $1/V$…

High Energy Physics - Lattice · Physics 2014-10-03 Christopher Czaban , Arthur Dromard , Marc Wagner

Lattice QCD simulations tend to become stuck in a single topological sector at fine lattice spacing or when using chirally symmetric overlap quarks. In such cases physical observables differ from their full QCD counterparts by finite volume…

High Energy Physics - Lattice · Physics 2014-10-16 Arthur Dromard , Marc Wagner

At small lattice spacing, or when using e.g. overlap fermions, lattice QCD simulations tend to become stuck in a single topological sector. Physical observables then differ from their full QCD counterparts by 1/V corrections, where V is the…

High Energy Physics - Lattice · Physics 2014-10-16 Arthur Dromard , Marc Wagner

At small lattice spacing QCD simulations are expected to become stuck in a single topological sector. Observables evaluated in a fixed topological sector differ from their counterparts in full QCD, i.e. at unfixed topology, by volume…

High Energy Physics - Lattice · Physics 2016-01-19 Christopher Czaban , Marc Wagner

Because present Monte Carol algorithms for lattice QCD may become trapped in a given topological charge sector when one approaches the continuum limit, it is important to understand the effect of calculating at fixed topology. In this work,…

High Energy Physics - Lattice · Physics 2008-11-26 R. Brower , S. Chandrasekharan , J. W. Negele , U. -J. Wiese

Since present Monte Carlo algorithms for lattice QCD may become trapped in a fixed topological charge sector, it is important to understand the effect of calculating at fixed topology. In this work, we show that although the restriction to…

High Energy Physics - Lattice · Physics 2008-11-26 R. Brower , S. Chandrasekharan , J. Negele , U. -J. Wiese

In finite volume the partition function of QCD with a given $\theta$ is a sum of different topological sectors with a weight primarily determined by the topological susceptibility. If a physical observable is evaluated only in a fixed…

High Energy Physics - Lattice · Physics 2008-11-26 Sinya Aoki , Hidenori Fukaya , Shoji Hashimoto , Tetsuya Onogi

As computing resources are limited, choosing the parameters for a full Lattice QCD simulation always amounts to a compromise between the competing objectives of a lattice spacing as small, quarks as light, and a volume as large as possible.…

High Energy Physics - Lattice · Physics 2009-11-11 B. Orth , Th. Lippert , K. Schilling

The topological susceptibility is an important quantity in QCD, which can be computed using lattice methods. However, at a fine lattice spacing, or when using high quality chirally symmetric quarks, algorithms which proceed in small update…

High Energy Physics - Lattice · Physics 2016-05-30 Arthur Dromard , Wolfgang Bietenholz , Krzysztof Cichy , Marc Wagner

When the multiplicities of particles produced in heavy-ion collisions are fitted to the hadron-resonance-gas model, excluded-volume effects play a significant role. In this work, we study the impact of such effects on the equation of state…

High Energy Physics - Lattice · Physics 2017-06-01 Paolo Alba , Wanda Maria Alberico , Alessandro Nada , Marco Panero , Horst Stöcker

Spatially non-local matrix elements are useful lattice-QCD observables in a variety of contexts, for example in determining hadron structure. To quote credible estimates of the systematic uncertainties in these calculations, one must…

High Energy Physics - Lattice · Physics 2018-11-06 Raúl A. Briceño , Juan V. Guerrero , Maxwell T. Hansen , Christopher J. Monahan

Recently, there appeared results of lattice measurements in Yang-Mills theories which indicate non-trivial dependences on the lattice spacing of many observables. In particular, volume occupied by fermionic zero modes shrinks to zero in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Zakharov

The long-range electromagnetic interaction presents a challenge for numerical computations in QCD + QED. In addition to power-law finite volume effects, the standard lattice gauge theory approach introduces non-locality through removal of…

High Energy Physics - Lattice · Physics 2016-02-17 Jong-Wan Lee , Brian C. Tiburzi

Now that Lattice QCD calculations are beginning to include QED, it is important to better understand how hadronic properties are modified by finite-volume QED effects. They are known to exhibit power-law scaling with volume, in contrast to…

High Energy Physics - Lattice · Physics 2014-10-07 Zohreh Davoudi , Martin J. Savage

An old and apparently persistent problem in numerical lattice QCD is that the simulations tend to get trapped in a sector of fixed topological charge when the lattice spacing is taken to zero. The effect sets in very rapidly and may…

High Energy Physics - Lattice · Physics 2014-01-28 Martin Lüscher

We compute the low-lying spectrum of 4D SU(2) Yang-Mills in a finite volume using quantum simulations. In contrast to small-volume lattice truncations of the Hilbert space, we employ toroidal dimensional reduction to the ``femtouniverse"…

High Energy Physics - Lattice · Physics 2022-11-22 Nouman Butt , Patrick Draper , Jiayu Shen

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

The curvature which characterizes the QCD phase transition at finite temperature and small values of the chemical potential is accessible to lattice simulations. The results for this quantity which have been obtained by several different…

High Energy Physics - Phenomenology · Physics 2011-04-20 Bertram Klein , Jens Braun , Bernd-Jochen Schaefer
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