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Related papers: U(1) Problem at Finite Temperature

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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

We use the linear sigma model coupled to quarks, together with a plausible location of the critical end point (CEP), to study the chiral symmetry transition in the QCD phase diagram. We compute the effective potential at finite temperature…

High Energy Physics - Phenomenology · Physics 2017-08-02 Alejandro Ayala , Jorge David Castano-Yepes , J. J. Cobos-Martinez , Saul Hernandez-Ortiz , Ana Julia Mizher , Alfredo Raya

We discuss our recent results regarding chiral and $U(1)_A$ restoration, both from the formal point of view of QCD Ward Identities (WI) and from an Effective Theory analysis provided by $U(3)$ Chiral Perturbation Theory (ChPT) at finite…

High Energy Physics - Phenomenology · Physics 2019-05-07 A. Gómez Nicola , J. Ruiz de Elvira , A. Vioque-Rodríguez , S. Ferreres-Solé

We present the first determination of the topological susceptibility from lattice QCD in the presence of strong background magnetic fields. Our simulations employ 2+1 flavours of stout improved staggered quarks with physical masses and…

High Energy Physics - Lattice · Physics 2025-01-22 B. B. Brandt , G. Endrődi , J. J. Hernández Hernández , G. Markó

We study the $U(1)_A$ anomaly at high temperatures of $N_f=2+1$ lattice QCD with chiral fermions. Gauge ensembles are generated with M\"obius domain-wall (MDW) fermions, and the measurements are reweighted to those with overlap fermions. We…

We investigate the high-temperature phase of QCD using lattice QCD simulations with $N_f = 2$ dynamical M\"obius domain-wall fermions. On generated configurations, we study the axial $U(1)$ symmetry, overlap-Dirac spectra, screening masses…

High Energy Physics - Lattice · Physics 2020-01-23 Kei Suzuki , Sinya Aoki , Yasumichi Aoki , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto , Christian Rohrhofer

It was recently conjectured that, in SU(3) gauge theories with fundamental quarks, valence spontaneous chiral symmetry breaking is equivalent to condensation of local dynamical chirality and appearance of chiral polarization scale…

High Energy Physics - Lattice · Physics 2015-06-19 Andrei Alexandru , Ivan Horváth

In the early days of QCD, the axial $U(1)$ anomaly was considered as a trigger for the breaking of the $SU(2)_L\times SU(2)_R$ symmetry through topological excitations of gluon fields. However, it has been a challenge for lattice QCD to…

High Energy Physics - Lattice · Physics 2022-08-05 JLQCD collaboration , S. Aoki , Y. Aoki , H. Fukaya , S. Hashimoto , C. Rohrhofer , K. Suzuki

Results from numerical simulations of full, two flavor QCD thermodynamics at N_t=4 with domain wall fermions are presented. For the first time a numerical simulation of the full QCD phase transition displays a low temperature phase with…

High Energy Physics - Lattice · Physics 2019-08-14 Pavlos Vranas

During the first part of this review we will focus on the thermodynamics of $SU(N)$ gauge theories at finite temperature. We will present results from a calculation of electric and magnetic screening masses for the gluons, discuss…

High Energy Physics - Lattice · Physics 2007-05-23 Frithjof Karsch

We discuss properties of thermal Quantum Chromodynamics obtained by means of lattice simulations with overlap fermions. This fermion discretisation preserves chiral symmetry at finite lattice spacing. We present details of the formulation…

High Energy Physics - Lattice · Physics 2025-10-30 Z. Fodor , A. Yu. Kotov , T. G. Kovacs , K. K. Szabo

The mass sensitivity of the chiral phase transition of QCD with and without axial $U_A(1)$-symmetry breaking at vanishing and finite quark chemical potential is investigated. To focus on the low-energy sector of QCD, a quark-meson model…

High Energy Physics - Phenomenology · Physics 2019-04-17 Simon Resch , Fabian Rennecke , Bernd-Jochen Schaefer

We investigate the realization of chiral symmetry in the vicinity of the deconfinement transition in quenched QCD using overlap fermions. Via the index theorem obeyed by the overlap fermions, we gain insight into the behavior of topology at…

High Energy Physics - Lattice · Physics 2015-06-25 Robert G. Edwards , Urs M. Heller , Joe Kiskis , Rajamani Narayanan

We show, without using semiclassical approximations, that, in high-temperature QCD with chiral symmetry restoration and U(1) axial symmetry breaking, the partition function for sufficiently light quarks can be expressed as an ensemble of…

High Energy Physics - Theory · Physics 2015-05-25 Takuya Kanazawa , Naoki Yamamoto

We reconsider constraints on the eigenvalue density of the Dirac operator in the chiral symmetric phase of 2 flavor QCD at finite temperature. To avoid possible ultra-violet(UV) divergences, we work on a lattice, employing the overlap Dirac…

High Energy Physics - Lattice · Physics 2013-05-30 Sinya Aoki , Hidenori Fukaya , Yusuke Taniguchi

We establish a relationship between the zeros of the partition function in the complex mass plane and the spectral properties of the Dirac operator in QCD. This relation is derived within the context of chiral Random Matrix Theory and…

High Energy Physics - Theory · Physics 2009-11-07 A. D. Jackson , C. B. Lang , M. Oswald , K. Splittorff

We investigate the impact of a uniform spin density on the critical temperature of the chiral phase transition in finite-temperature QCD in the scope of the linear sigma model. We demonstrate that at a finite spin potential $\mu_\Sigma$,…

Inequalities for QCD functional integrals are used to establish that up to certain technical assumptions. the high temperature chirally restored phase of QCD is effectively symmetric under $U(N_f) \times U(N_f)$ rather than $SU(N_f) \times…

High Energy Physics - Phenomenology · Physics 2010-01-06 Thomas. D. Cohen

We study the thermal transition of QCD with two degenerate light flavours by lattice simulations using $\mathcal{O}(a)$-improved Wilson quarks. Particular emphasis lies on the pattern of chiral symmetry restoration, which we probe via the…

High Energy Physics - Lattice · Physics 2019-04-05 Bastian B. Brandt , Marco Cè , Anthony Francis , Tim Harris , Harvey B. Meyer , Owe Philipsen , Hartmut Wittig

We explore the topological susceptibility at finite quark chemical potential and zero temperature in two-color QCD (QC$_2$D) with two flavors. Through the Ward-Takahashi identities of QC$_2$D, we find that the topological susceptibility in…

High Energy Physics - Phenomenology · Physics 2023-09-22 Mamiya Kawaguchi , Daiki Suenaga