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We derive the formal Ward identities relating pseudoscalar susceptibilities and quark condensates in three-flavor QCD, including consistently the $\eta$-$\eta'$ sector and the $U_A(1)$ anomaly. These identities are verified in the…

High Energy Physics - Phenomenology · Physics 2017-10-24 A. Gomez Nicola , J. Ruiz de Elvira

We investigate spatial two-point correlation functions of mesonic operators in two-flavor lattice QCD at high temperatures. The simulated temperatures over the range $T \in [147, 330]$ MeV, where the critical temperature is estimated around…

We investigate the low-lying eigenmodes of the Dirac matrix with the aim to gain more insight into the temperature dependence of the anomalous $U_A(1)$ symmetry. We use the overlap operator to probe dynamical QCD configurations generated…

High Energy Physics - Lattice · Physics 2015-05-20 Viktor Dick , Frithjof Karsch , Edwin Laermann , Swagato Mukherjee , Sayantan Sharma

A model for the QCD vacuum based on a domainlike structured background gluon field with definite duality attributed to the domains has been shown elsewhere to give confinement of static quarks, a reasonable value for the topological…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alex C. Kalloniatis , Sergei N. Nedelko

We investigate the spatial $ z $-correlators of meson operators in $ N_f=2+1+1+1 $ lattice QCD with optimal domain-wall quarks across eight temperatures ranging from 325 to 3250 MeV. The meson operators include a complete set of Dirac…

High Energy Physics - Lattice · Physics 2025-05-07 Ting-Wai Chiu

We study the two-flavor color superconductivity of low-temperature quark matter in the vicinity of chiral phase transition in the quark-meson model where the interactions between quarks are generated by pion and sigma exchanges. Starting…

High Energy Physics - Phenomenology · Physics 2018-04-09 Armen Sedrakian , Ralf-Arno Tripolt , Jochen Wambach

We study the finite temperature localization transition in the spectrum of the overlap Dirac operator. Simulating the quenched approximation of QCD, we calculate the mobility edge, separating localized and delocalized modes in the spectrum.…

High Energy Physics - Lattice · Physics 2020-09-28 Reka A. Vig , Tamas G. Kovacs

Applications of Domain Wall fermions to various vector-like lattice theories are reviewed with an emphasis on QCD thermodynamics. Methods for improving their chiral properties at strong coupling are discussed and results from implementing…

High Energy Physics - Lattice · Physics 2007-05-23 P. Vranas

The quantum Hall effect is studied in a spherical geometry using the Dirac operator for non-interacting fermions in a background magnetic field, which is supplied by a Wu-Yang magnetic monopole at the centre of the sphere. Wave functions…

High Energy Physics - Theory · Physics 2024-02-20 Brian P. Dolan , Aonghus Hunter-McCabe

Euclidean space hadronic correlators are computed in quenched QCD at small quark mass using truncations of quark propagators which include or exclude low eigenvalue eigenmodes of the Dirac operator. High modes provide the dominant…

High Energy Physics - Phenomenology · Physics 2009-11-10 Thomas DeGrand

Working within the linear sigma model at finite temperature, we construct effective one-loop vertices and propagators satisfying the chiral Ward identities, for small pion momentum and mass compared to the sigma mass. We obtain an expansion…

High Energy Physics - Phenomenology · Physics 2009-09-25 Alejandro Ayala

Magnetic properties of layered high temperature superconductors with a weak interlayer coupling in the region of the critical fluctuations are investigated in the framework of the Ginzburg--Landau approach. The sample magnetization is…

Superconductivity · Physics 2007-05-23 Gregory M. Braverman

In the $\epsilon$-domain of QCD we have obtained exact analytical expressions for the eigenvalue density of the Dirac operator at fixed $\theta \ne 0$ for both one and two flavors. These results made it possible to explain how the different…

High Energy Physics - Lattice · Physics 2018-07-31 Mario Kieburg , Jacobus Verbaarschot , Tilo Wettig

We study the localization properties of the low-lying Dirac eigenmodes in QCD at imaginary chemical potential $\hat{\mu}_I=\pi$ at temperatures above the Roberge-Weiss transition temperature $T_{\rm RW}$. We find that modes are localized up…

High Energy Physics - Lattice · Physics 2022-01-26 Marco Cardinali , Massimo D'Elia , Francesco Garosi , Matteo Giordano

Quantum anomalous Hall (QAH) insulators host topologically protected dissipationless chiral edge states, the number of which is determined by its Chern number. Up to now, the QAH state has been realized in a few magnetic topological…

Mesoscale and Nanoscale Physics · Physics 2023-04-11 Dinghui Wang , Huaiqiang Wang , Haijun Zhang

We provide a study of quantum chromodynamics with the technique of Dyson-Schwinger equations in differential form. In this way, we are able to approach the non-perturbative limit and recover, with some approximations, the 't Hooft limit of…

High Energy Physics - Phenomenology · Physics 2022-11-22 Marco Frasca

In this work, expanding on previous analyses, we employ an effective Lagrangian approach to investigate the mass spectrum of scalar and pseudoscalar mesons at finite temperature, above the (pseudo-)critical temperature $T_c$, in a…

High Energy Physics - Phenomenology · Physics 2026-05-21 Giulio Cianti , Enrico Meggiolaro

We compute the chiral condensate in 2+1-flavor QCD through the spectrum of low-lying eigenmodes of Dirac operator. The number of eigenvalues of the Dirac operator is evaluated using a stochastic method with an eigenvalue filtering technique…

High Energy Physics - Lattice · Physics 2016-08-22 Guido Cossu , Hidenori Fukaya , Shoji Hashimoto , Takashi Kaneko , Jun-Ichi Noaki

We report on a study of the finite-temperature QCD transition region for temperatures between 139 and 196 MeV, with a pion mass of 200 MeV and two space-time volumes: $24^3\times8$ and $32^3\times8$, where the larger volume varies in linear…

We study physics at temperatures just above the QCD phase transition (Tc) using chiral (overlap) Fermions in the quenched approximation of lattice QCD. Exact zero modes of the overlap Dirac operator are localized and their frequency of…

High Energy Physics - Lattice · Physics 2011-07-19 Rajiv V. Gavai , Sourendu Gupta , R. Lacaze
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