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We introduce a reweighting technique which allows for a continuous sampling of temperatures in a single simulation and employ it to compute the temperature dependence of the QCD topological susceptibility at high temperatures. The method…

High Energy Physics - Lattice · Physics 2021-07-14 P. Thomas Jahn , Parikshit M. Junnarkar , Guy D. Moore , Daniel Robaina

We define a fixed point action in two-dimensional lattice CP^{N-1} models. The fixed point action is a classical perfect lattice action, which is expected to show strongly reduced cut-off effects in numerical simulations. Furthermore, the…

High Energy Physics - Lattice · Physics 2009-10-28 Rudolf Burkhalter

The status of topology on the lattice is reviewed. Recent results show that the topological susceptibility chi can be unambigously determined. Different methods, if properly implemented, give results consistent with each other. For SU(3)…

High Energy Physics - Lattice · Physics 2007-05-23 A. Di Giacomo

We define a fixed point topological charge for the two-dimensional O(3) lattice sigma-model which is free of topological defects. We use this operator in combination with the fixed point action to measure the topological susceptibility for…

High Energy Physics - Lattice · Physics 2009-10-28 Marc Blatter , Rudolf Burkhalter , Peter Hasenfratz , Ferenc Niedermayer

We perform dynamical QCD simulations with $n_f=2$ overlap fermions by hybrid Monte-Carlo method on $6^4$ to $8^3\times 16$ lattices. We study the problem of topological sector changing. A new method is proposed which works without…

High Energy Physics - Lattice · Physics 2009-11-11 G. I. Egri , Z. Fodor , S. D. Katz , K. K. Szabo

Recent efforts in lattice evaluation of the topological susceptibility had shown that at high temperatures it is given by well-separated instantons (even in QCD with light fermions, where those are highly suppressed). Recent development of…

High Energy Physics - Lattice · Physics 2017-01-30 Edward Shuryak

Topology on the lattice is reviewed. In quenched QCD topological susceptibility chi is fully understood. The Witten-Veneziano mechanism for the eta' mass is confirmed. The topological susceptibility drops to zero at the deconfining phase…

High Energy Physics - Lattice · Physics 2007-05-23 G. Boyd , B. Alles , M. D'Elia , A. Di Giacomo

We propose a method to obtain physical quantities in the theta vacuum from those at fixed topology, which are different by finite size effects. Extending the work by Brower et al., we derive the formula to estimate these finite size…

High Energy Physics - Lattice · Physics 2009-04-14 Sinya Aoki , Hidenori Fukaya , Shoji Hashimoto , Tetsuya Onogi

The definition and computation of the topological susceptibility in non-abelian gauge theories is complicated by the presence of non-integrable short-distance singularities. Recently, alternative representations of the susceptibility were…

High Energy Physics - Lattice · Physics 2014-11-21 Martin Lüscher , Filippo Palombi

We present results for the topological susceptibility at nonzero temperature obtained from lattice QCD with four dynamical quark flavours. We apply different smoothing methods, including gradient Wilson flow and over--improved cooling,…

High Energy Physics - Lattice · Physics 2016-02-17 A. Trunin , F. Burger , E. -M. Ilgenfritz , M. P. Lombardo , M. Muller-Preussker

The topological susceptibility of QCD vacuum is studied in the framework of a covariant chiral quark model with non-local quark-quark interaction. The relation of the first moment of topological susceptibility \chi'(0) and the 'spin crisis'…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. E. Dorokhov

The topological charge is studied on lattices of large physical volume and fine lattice spacing. We illustrate how a parity transformation on the SU(3) link-variables of lattice gauge configurations reverses the sign of the topological…

High Energy Physics - Lattice · Physics 2010-03-04 Derek B. Leinweber , Anthony G. Williams , Jian-bo Zhang , Frank X. Lee

Recently a new method to set the scale in lattice gauge theories, based on the gradient flow generated by the Wilson action, has been proposed, and the systematic errors of the new scales t0 and w0 have been investigated by various groups.…

High Energy Physics - Lattice · Physics 2017-02-03 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

We apply the previously-developed sub-volume method to study the $\theta$-dependence of the four-dimensional SU(2) Yang-Mills theory at finite temperature. We calculate the first two coefficients, the topological susceptibility $\chi$ and…

High Energy Physics - Lattice · Physics 2024-06-26 Norikazu Yamada , Masahito Yamazaki , Ryuichiro Kitano

We study the reduced fidelity susceptibility $\chi_{r}$ for an $M$-body subsystem of an $N$-body Lipkin-Meshkov-Glick model with $\tau=M/N$ fixed. The reduced fidelity susceptibility can be viewed as the response of subsystem to a certain…

Quantum Physics · Physics 2015-05-13 Jian Ma , Xiaoguang Wang , Shi-Jian Gu

In this paper we study the properties of QCD at nonzero chiral density $\rho_5$, which is introduced through chiral chemical potential $\mu_5$. The study is performed within lattice simulation of QCD with dynamical rooted staggered…

High Energy Physics - Lattice · Physics 2019-10-14 N. Yu. Astrakhantsev , V. V. Braguta , A. Yu. Kotov , D. D. Kuznedelev , A. A. Nikolaev

The topological charge density two-point function is computed in a three-flavor effective linear meson model, including contributions from topological sectors with arbitrary charge. A corresponding composite field is introduced via a…

High Energy Physics - Phenomenology · Physics 2025-10-15 G. Fejos , A. Patkos

We present a study of the topological susceptibility $\chi$ on the lattice for full QCD with 2 and 4 flavours of staggered fermions at zero and finite temperature T. We find that $\chi$ presents a sharp drop across the deconfinement…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo

In this paper we study, by means of numerical simulations, the topological properties of $SU(3)$ and $SU(4)$ trace deformed Yang-Mills theory defined on $ \mathbb{R}^3\times S^1$, in which center symmetry is recovered even at small…

High Energy Physics - Lattice · Physics 2019-12-30 Claudio Bonati , Marco Cardinali , Massimo D'Elia , Fabrizio Mazziotti

In an attempt to describe the change of topological structure of pure SU(2) gauge theory near deconfinement a renormalization group inspired method is tested. Instead of cooling, blocking and subsequent inverse blocking is applied to Monte…

High Energy Physics - Lattice · Physics 2009-10-30 M. Feurstein , E. -M. Ilgenfritz , H. Markum , M. Müller-Preussker , S. Thurner
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