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Motivated by recent literature on the possible existence of a second higher-temperature phase transition in Quantum Chromodynamics, we revisit the proposal that colour confinement is related to the dynamics of magnetic monopoles using…

High Energy Physics - Lattice · Physics 2025-02-03 Xavier Crean , Jeffrey Giansiracusa , Biagio Lucini

The behaviour of the topological susceptibility \chi in QCD with two colours and 8 flavours of quarks is studied at nonzero temperature on the lattice across the finite density transition. It is shown that the signal of \chi drops abruptly…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , M. P. Lombardo

We consider lattice field theories with topological actions, which are invariant against small deformations of the fields. Some of these actions have infinite barriers separating different topological sectors. Topological actions do not…

High Energy Physics - Lattice · Physics 2010-12-21 W. Bietenholz , U. Gerber , M. Pepe , U. -J. Wiese

Screening of the topological charge due to he fermion-induced interactions is an important phenomenon, closely related with the resolution of the strong CP and U(1) problems. We study the mechanism of such screening in a 'correlated…

High Energy Physics - Lattice · Physics 2014-11-17 E. V. Shuryak , J. J. M. Verbaarschot

We model the effects of a large number of zero and near-zero modes in the QCD partition function by using sparse chiral matrix models with an emphasis on the quenched topological susceptibility in the choice of the measure. At finite…

High Energy Physics - Lattice · Physics 2009-10-31 Romuald A. Janik , Maciej A. Nowak , Gabor Papp , Ismail Zahed

We investigate SU(2) gauge fields topology using new approach, which exploits the well known connection between SU(2) gauge theory and quaternionic projective sigma-models and allows to formulate the topological charge density entirely in…

High Energy Physics - Lattice · Physics 2009-11-11 F. V. Gubarev , S. M. Morozov

It is well known that the topology of gauge configurations generated in a Markov Monte-Carlo chain freezes as the continuum limit is approached. The corresponding autocorrelation time increases exponentially with the inverse lattice…

High Energy Physics - Lattice · Physics 2015-12-03 Alessandro Amato , Gunnar Bali , Biagio Lucini

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 study the topological susceptibility, chi, in QCD with two quark flavours using lattice field configurations that have been produced with an O(a)-improved clover quark action. We find clear evidence for the expected suppression at small…

High Energy Physics - Lattice · Physics 2013-05-29 UKQCD , QCDSF Collaborations , : , A. Hart

The chiral susceptibility is given by the scalar vacuum polarisation at zero total momentum. This follows directly from the expression for the vacuum quark condensate so long as a nonperturbative symmetry preserving truncation scheme is…

Nuclear Theory · Physics 2010-04-22 Lei Chang , Yu-xin Liu , Craig D. Roberts , Yuan-mei Shi , Wei-min Sun , Hong-shi Zong

We present results for lattice QCD in the limit of infinite gauge coupling on a discrete spatial but continuous Euclidean time lattice. A worm type Monte Carlo algorithm is applied in order to sample two-point functions which gives access…

High Energy Physics - Lattice · Physics 2018-11-06 Marc Klegrewe , Wolfgang Unger

The topological susceptibility, $\chi^4$, following the work of Witten and Veneziano, plays a key role in identifying the relative magnitude of the $\eta^{\prime}$ mass, the so-called $U(1)_{A}$ problem. A nonzero $\chi^4$ is caused by the…

High Energy Physics - Phenomenology · Physics 2017-11-08 D. Dudal , C. P. Felix , M. S. Guimaraes , S. P. Sorella

We consider 4D $SU(N)$ gauge theories coupled to gravity in the Causal Dynamical Triangulations (CDT) approach, focusing on the topological classification of the gauge path integral over fixed triangulations. We discretize the topological…

High Energy Physics - Lattice · Physics 2026-03-17 Giuseppe Clemente , Massimo D'Elia , Dániel Németh , Gianmarco Simonetti

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

As one approaches the continuum limit, $QCD$ systems, investigated via numerical simulations, remain trapped in sectors of field space with fixed topological charge. As a consequence the numerical studies of physical quantities may give…

High Energy Physics - Lattice · Physics 2016-08-02 Alessandro Laio , Guido Martinelli , Francesco Sanfilippo

We compute the topological susceptibility of $N_f=2+1$ QCD with physical quark masses in the high-temperature phase, using numerical simulations of the theory discretized on a space-time lattice. More precisely we estimate the topological…

In this contribution, we report on our study of the properties of the Wilson flow and on the calculation of the topological susceptibility of $Sp(N_c)$ gauge theories for $N_c=2,\,4,\,6,\,8$. The Wilson flow is shown to scale according to…

High Energy Physics - Lattice · Physics 2022-11-07 Davide Vadacchino , Ed Bennett , C. -J. David Lin , Deog Ki Hong , Jong-Wan Lee , Biagio Lucini , Maurizio Piai

Master-field simulations offer an approach to lattice QCD in which calculations are performed on a small number of large-volume gauge-field configurations. The latter is advantageous for simulations in which the global topological charge is…

High Energy Physics - Lattice · Physics 2022-12-20 Mattia Bruno , Marco Cè , Anthony Francis , Jeremy R. Green , Max Hansen , Savvas Zafeiropoulos

We address a long standing problem regarding topology in lattice simulations of QCD with unimproved Wilson fermions. Earlier attempt with unimproved Wilson fermions at \beta =5.6 to verify the suppression of topological susceptibility with…

High Energy Physics - Lattice · Physics 2015-05-30 Abhishek Chowdhury , Asit K. De , Sangita De Sarkar , A. Harindranath , Santanu Mondal , Anwesa Sarkar , Jyotirmoy Maiti

A promising direction for harnessing the laws of quantum mechanics to perform quantum computation is the topological quantum computation, for which topological superconductivity is one of the physical platforms. Intensive theoretical…

Superconductivity · Physics 2022-09-05 Noah F. Q. Yuan , Xiao-Jia Chen