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Related papers: Topology in QCD

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We present numerical results for the phase diagram of lattice QCD at finite temperature in the formulation with twisted mass Wilson fermions and a tree-level Symanzik-improved gauge action. Our simulations are performed on lattices with…

High Energy Physics - Lattice · Physics 2010-04-14 E. -M. Ilgenfritz , K. Jansen , M. P. Lombardo , M. Müller-Preußker , M. Petschlies , O. Philipsen , L. Zeidlewicz

We use the effective chiral Lagrangian to analyze the phase diagram of two-flavor twisted mass lattice QCD as a function of the normal and twisted masses, generalizing previous work for the untwisted theory. We first determine the chiral…

High Energy Physics - Lattice · Physics 2009-11-10 Stephen R. Sharpe , Jackson M. S. Wu

We study quenched QCD just above the phase transition temperature using overlap Fermions. Exact zero modes of the overlap operator are localized. Chiral symmetry is restored, as indicated by the behavior of the chiral condensate after…

High Energy Physics - Lattice · Physics 2015-06-25 R. V. Gavai , Sourendu Gupta , R. Lacaze

We present the results of a computation of the topological susceptibility in the SU(3) Yang--Mills theory performed by employing the expression of the topological charge density operator suggested by Neuberger's fermions. In the continuum…

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

We show how it is possible to give a precise and unambiguous implementation of the Witten--Veneziano formula for the eta' mass on the lattice, which looks like the formal continuum one, if the expression of the topological charge density…

High Energy Physics - Lattice · Physics 2009-11-07 L. Giusti , G. C. Rossi , M. Testa , G. Veneziano

As the continuum limit is approached, lattice QCD simulations tend to get trapped in the topological charge sectors of field space and may consequently give biased results in practice. We propose to bypass this problem by imposing open…

High Energy Physics - Lattice · Physics 2015-05-28 Martin Lüscher , Stefan Schaefer

Axion cosmology needs the QCD topological susceptibility between 400 and 1100 MeV. In this range the bottom quark is inconvenient to include in lattice simulations, but not heavy enough to ignore. We estimate its effect on the…

High Energy Physics - Phenomenology · Physics 2025-11-07 Bruno Högl , Guy D. Moore

The topological phase transition in the Qi-Wu-Zhang model is studied using a real-space approach. An effective Hamiltonian for the topologically protected edge-modes in a finite-size system is developed. The topological phase transition is…

Mesoscale and Nanoscale Physics · Physics 2024-08-13 Arjo Dasgupta , Indra Dasgupta

We investigate instantons in finite temperature QCD via Witten's holographic QCD. To study the deconfinement phase, we use the setup proposed in [1] (arXiv:1107.4048). We find that the sizes of the instantons are stabilized at certain…

High Energy Physics - Theory · Physics 2015-12-09 Masanori Hanada , Yoshinori Matsuo , Takeshi Morita

Non-perturbative lattice studies of QCD in the chiral thermodynamic regime, where chiral symmetry is spontaneously broken, require to deal with almost quark zero modes in a theoretically clean and computationally efficient way. We discuss…

High Energy Physics - Lattice · Physics 2007-05-23 Michele Della Morte , Roberto Frezzotti , Jochen Heitger

Different formulations of the $4d$ compact lattice QED with staggered fermions (standard Wilson and modified by suppression of lattice artifacts) are investigated by Monte Carlo simulations within the quenched approximation. We show that…

High Energy Physics - Lattice · Physics 2009-10-22 A. Hoferichter , V. K. Mitrjushkin , M. Müller-Preussker

We demonstrate that substantial progress can be achieved in the study of the phase structure of 4-dimensional compact QED by a joint use of hybrid Monte Carlo and multicanonical algorithms, through an efficient parallel implementation. This…

High Energy Physics - Lattice · Physics 2015-06-25 G. Arnold , Th. Lippert , K. Schilling

We study the XY model on a spherical surface inspired by recently realized spherically confined atomic gases. Instead of a traditional latitude-longitude lattice, we introduce a much more homogeneous spherical lattice, the Fibonacci…

Quantum Gases · Physics 2024-10-11 Chen-Hui Song , Qu-Cheng Gao , Xu-Yang Hou , Xin Wang , Zheng Zhou , Yan He , Hao Guo , Chih-Chun Chien

We study topological aspects of a compact lattice superconductor, and show that the characteristic energy splitting, $\Delta$, between almost degenerate ground states, is simply related to a novel order parameter $\tilde W$, which is…

Superconductivity · Physics 2007-05-23 Anders Vestergren , Jack Lidmar , T. H. Hansson

Several lattice calculations which probe the chiral and topological structure of QCD are discussed. The results focus attention on the low-lying eigenmodes of the Dirac operator in typical gauge field configurations.

High Energy Physics - Lattice · Physics 2009-10-31 H. B. Thacker

If the expression of the topological charge density operator, suggested by fermions obeying the Ginsparg--Wilson relation, is employed, it is possible to prove on the lattice the validity of the Witten--Veneziano formula for the $\eta'$…

High Energy Physics - Lattice · Physics 2016-09-01 L. Giusti , G. C. Rossi , M. Testa , G. Veneziano

QCD at finite density presents specific challenges to lattice gauge theory. Nonetheless, a region of the QCD phase diagram up to moderately large baryon chemical potentials has been successfully explored on the lattice and new results and…

High Energy Physics - Lattice · Physics 2008-11-26 M. -P. Lombardo

We consider a natural Hamiltonian system with two degrees of freedom and Hamiltonian $H=\|p\|^2/2+V(q)$. The configuration space $M$ is a closed surface (for noncompact $M$ certain conditions at infinity are required). It is well known that…

Dynamical Systems · Mathematics 2017-05-15 Sergey Bolotin , Valery Kozlov

We measure the topological charge and its fluctuation for the gauge configurations generated by the RBC and UKQCD Collaborations using 2+1 flavors of domain-wall fermions on the 16^3 x 32 lattice (L \simeq 2 fm) with length 16 in the fifth…

High Energy Physics - Lattice · Physics 2019-08-13 Ting-Wai Chiu , Tung-Han Hsieh , Po-Kai Tseng

I present a calculation of the topological susceptibility $\chi_T$ in $SU(N_c)$ gauge theory with $N_c=3-5$ colors and $N_f=2$ degenerate flavors of fermions. The results lie on a common curve when expressed in terms of the combination $N_c…

High Energy Physics - Lattice · Physics 2020-07-01 Thomas DeGrand