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Lattice Quantum Chromodynamics (QCD) is an approach used by theoretical physicists to model the strong nuclear force. This works at the sub-nuclear scale to bind quarks together into hadrons including the proton and neutron. One of the long…

High Energy Physics - Lattice · Physics 2018-12-27 Dean P. Thomas , Rita Borgo , Hamish Carr , Simon Hands

We construct a few parameter approximate fixed point action for SU(2) pure gauge theory and subject it to scaling tests, via Monte Carlo simulation. We measure the critical coupling for deconfinement for lattices of temporal extent $N_t=2$,…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas DeGrand , Anna Hasenfratz , Decai Zhu

We discuss the computation of the topological susceptibility using the method of spectral projectors and dynamical twisted mass fermions. We present our analysis concerning the O(a)-improvement of the topological susceptibility and we show…

High Energy Physics - Lattice · Physics 2013-12-13 Krzysztof Cichy , Elena Garcia-Ramos , Karl Jansen , Andrea Shindler

We review the application of lattice QCD techniques, most notably the Hybrid Monte-Carlo (HMC) simulations, to first-principle study of tight-binding models of crystalline solids with strong inter-electron interactions. After providing a…

High Energy Physics - Lattice · Physics 2016-08-23 P. V. Buividovich , M. V. Ulybyshev

We determine the magnetic susceptibility of thermal QCD matter by means of first principles lattice simulations using staggered quarks with physical masses. A novel method is employed that only requires simulations at zero background field,…

High Energy Physics - Lattice · Physics 2020-07-29 Gunnar S. Bali , Gergely Endrődi , Stefano Piemonte

We study the quark number susceptibility of the hot quark-gluon plasma at zero and non-zero quark number density, using lattice Monte Carlo simulations of an effective theory of QCD, electrostatic QCD (EQCD). Analytic continuation is used…

High Energy Physics - Lattice · Physics 2009-12-15 Ari Hietanen , Kari Rummukainen

We study the conserved charge fluctuations, as quantified by the corresponding susceptibilities, in strongly interacting matter as motived by the quark-gluon plasma. Using the gauge-gravity correspondence approach, we study the patterns of…

High Energy Physics - Phenomenology · Physics 2013-07-05 Shuzhe Shi , Jinfeng Liao

The search for new physics requires a joint experimental and theoretical effort. Lattice QCD is already an essential tool for obtaining precise model-free theoretical predictions of the hadronic processes underlying many key experimental…

We study the topological susceptibility and the fourth cumulant of the QCD vacuum in the presence of a uniform, background magnetic field in two-and-three flavor QCD finding novel, model-independent sum rules relating the shift in the…

High Energy Physics - Phenomenology · Physics 2021-12-15 Prabal Adhikari

In two dimensions, $U(N_c)$ gauge theories exhibit a non-trivial topological structure, while $SU(N_c)$ theories are topologically trivial. Hence, for $G = U(N_c)$ the phase space is divided into topological sectors, characterized by a…

High Energy Physics - Lattice · Physics 2024-11-19 Stephan Durr , Philip Rouenhoff

We compute $t_0$, $w_0$ and the topological susceptibility, defined at finite gradient flow time for two-flavour QCD. The use of three lattice spacings and pion masses between 192 and 500 MeV together with a careful error analysis allow to…

High Energy Physics - Lattice · Physics 2014-04-18 Mattia Bruno , Rainer Sommer

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

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

We compute the quark number susceptibilities in two flavor QCD for staggered fermions by adding the chemical potential as a Lagrange multiplier for the point-split number density term. Since lesser number of quark propagators are required…

High Energy Physics - Lattice · Physics 2014-11-21 R. V. Gavai , Sayantan Sharma

The introduction of non-orthogonal electric and magnetic fields in the QCD vacuum enhances the weight of topological sectors with a nonzero topological charge. For weak fields, there is a linear response for the expectation value of the…

High Energy Physics - Lattice · Physics 2022-12-13 Bastian Brandt , Francesca Cuteri , Gergely Endrődi , José Javier Hernández Hernández , Gergely Markó

Using an ensemble of 535 gauge configurations (on the $24^4 \times 48 $ lattice with $ a \simeq 0.06 $~fm and $ M_{\pi} \simeq 260 $~MeV) which are generated by hybrid Monte Carlo (HMC) simulation of $N_f=2$ lattice QCD with the optimal…

High Energy Physics - Lattice · Physics 2019-08-06 Ting-Wai Chiu , Tung-Han Hsieh

We consider the lattice topological charge density introduced by Hasenfratz, Laliena and Niedermayer and propose its eigenmode expansion as a tool to investigate the structure of topological charge fluctuations in QCD. The resulting…

High Energy Physics - Lattice · Physics 2008-11-26 I. Horvath , S. J. Dong , T. Draper , F. X. Lee , K. F. Liu , H. B. Thacker , J. B. Zhang

Experimental realizations of topological quantum systems and detections of topological invariants in ultracold atomic systems have been a greatly attractive topic. In this work, we propose a scheme to realize topologically different phases…

Quantum Gases · Physics 2017-07-19 Zhihao Xu , Yunbo Zhang , Shu Chen

We analyze the topological structure of quenched QCD in the presence of static color sources. Distributions of the topological charge density around static quarks and mesons are computed in both phases of QCD. We observe a suppression of…

High Energy Physics - Lattice · Physics 2008-11-26 Manfried Faber , Harald Markum , Stefan Olejnik , Wolfgang Sakuler

Topological quantum error correction codes are extremely practical, typically requiring only a 2-D lattice of qubits with tunable nearest neighbor interactions yet tolerating high physical error rates p. It is computationally expensive to…

Quantum Physics · Physics 2013-05-01 Austin G. Fowler