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We present results for the static interquark potential, light meson and baryon masses, and light pseudoscalar meson decay constants obtained from simulations of domain wall QCD with one dynamical flavour approximating the $s$ quark, and two…

We investigate the finite temperature QCD phase transition with three degenerate quark flavors using M\"{o}bius domain wall fermions. To explore the order of phase transition on the lower left corner of Columbia plot and if possible, to…

High Energy Physics - Lattice · Physics 2022-12-21 Yu Zhang , Yasumichi Aoki , Shoji Hashimoto , Issaku Kanamori , Takashi Kaneko , Yoshifumi Nakamura

$1+1$-dimensional Dirac oscillator with minimal uncertainty in position and maximal in momentum is investigated. To obtain energy spectrum SUSY QM technique is applied. It is shown that the Dirac oscillator has two branches of spectrum, the…

Quantum Physics · Physics 2020-01-08 M. M. Stetsko

Deviation from perfect conical dispersion in Dirac materials, such as the presence of mass or tilting, enhances control and directionality of electronic transport. To identify these signatures, we analyze the thermal derivative spectra of…

Mesoscale and Nanoscale Physics · Physics 2024-02-22 M. A. Mojarro , R. Carrillo-Bastos , Jesús A. Maytorena

We compute the renormalized Dirac spectral density in $N_f = 2+1$ QCD at physical quark masses, temperature $T = 230$ MeV and system size $L_s = 3.4$ fm. To that end, we perform a point-wise continuum limit of the staggered density in…

High Energy Physics - Lattice · Physics 2024-10-28 Andrei Alexandru , Claudio Bonanno , Massimo D'Elia , Ivan Horváth

We study some interesting aspects of the spectral properties of SU(3) gauge theory, both with and without dynamical quarks (QCD) at thermal equilibrium using lattice gauge theory techniques. By calculating the eigenstates of a massless…

High Energy Physics - Lattice · Physics 2026-03-05 Harshit Pandey , Ravi Shanker , Sayantan Sharma

We implement fermions on dynamical random triangulation and determine numerically the spectrum of the Dirac-Wilson operator D for the system of Majorana fermions coupled to two-dimensional Euclidean quantum gravity. We study the dependence…

High Energy Physics - Lattice · Physics 2009-11-07 L. Bogacz , Z. Burda , C. Petersen , B. Petersson

We study the chiral properties of domain-wall quarks at high temperatures on an ensemble of quenched configurations. Low lying eigenmodes of the Dirac operator are calculated and used to check the extent to which the Atiyah-Singer index…

High Energy Physics - Lattice · Physics 2015-06-25 J. -F. Lagae , D. K. Sinclair

We investigate a spectrum of a fermion, which we call a quark, above the critical temperature of the chiral phase transition in a gauge theory using the Schwinger-Dyson (SD) equation. The SD equation enables us to study the spectrum over a…

High Energy Physics - Phenomenology · Physics 2010-11-26 Masayasu Harada , Yukio Nemoto , Shunji Yoshimoto

Temperature dependence of the upper critical field $H_{c2}$ of the Dirac semi - metal (DSM) with phonon mediated pairing is considered within semi - classical approximation. The low temperature dependence deviates from conventional BCS…

Superconductivity · Physics 2018-12-05 Baruch Rosenstein , B. Ya. Shapiro , Dingping Li

Using the graded eigenvalue method and a recently computed extension of the Itzykson-Zuber integral to complex matrices, we compute the $k$-point spectral correlation functions of the Dirac operator in a chiral random matrix model with a…

High Energy Physics - Theory · Physics 2009-10-30 Thomas Guhr , Tilo Wettig

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

We compute the spectrum of the low-lying mesonic states with vector, scalar and pseudoscalar quantum numbers in QCD with one flavour. With three colours the fundamental and the two-index anti-symmetric representations of the gauge group…

High Energy Physics - Lattice · Physics 2023-06-13 Michele Della Morte , Benjamin Jäger , Francesco Sannino , Justus Tobias Tsang , Felix P. G. Ziegler

We present results from the first large-scale study of two flavor QCD using domain wall fermions (DWF), a chirally symmetric fermion formulation which has proven to be very effective in the quenched approximation. We work on lattices of…

High Energy Physics - Lattice · Physics 2009-11-13 Y. Aoki , T. Blum , N. Christ , C. Dawson , K. Hashimoto , T. Izubuchi , J. W. Laiho , L. Levkova , M. Lin , R. Mawhinney , J. Noaki , S. Ohta , K. Orginos , A. Soni

We study the localization properties of the low-lying Dirac eigenmodes in QCD near the crossover temperature, using staggered fermions on the lattice. We find that localized low modes, absent at low temperature, appear at a temperature…

High Energy Physics - Lattice · Physics 2026-02-19 Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler

Using general properties of the $Q=0$ topological sector we previously argued that a vector-like theory, with chiral $U(1)_A$ anomaly, and exact non-Abelian chiral symmetry, should exhibit divergent susceptibilities in the chiral limit, the…

High Energy Physics - Lattice · Physics 2023-07-06 Vicente Azcoiti

We numerically investigate critically delocalized wavefunctions in models of 2D Dirac fermions, subject to vector potential disorder. These describe the surface states of 3D topological superconductors, and can also be realized through…

Disordered Systems and Neural Networks · Physics 2014-05-02 Yang-Zhi Chou , Matthew S. Foster

In this work we present the results from numerical simulations of an interacting ensemble of instanton-dyons in the $SU(3)$ gauge group with $N_f=2$ flavors of massless quarks. Dynamical quarks are included via the effective interactions…

High Energy Physics - Phenomenology · Physics 2021-12-01 Dallas DeMartini , Edward Shuryak

We study the phase structure of QCD at finite temperatures with two flavors of dynamical quarks on a lattice with the size $N_s^3 \times N_t=16^3 \times 4$, using a renormalization group improved gauge action and a clover improved Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 N. Ukita , S. Ejiri , T. Hatsuda , N. Ishii , Y. Maezawa , S. Aoki , K. Kanaya

For large isospin asymmetries, perturbation theory predicts the QCD ground state to be a superfluid phase of $u$ and $\bar{d}$ Cooper pairs. This phase, which is denoted as the BCS phase, is expected to be smoothly connected to the standard…

High Energy Physics - Lattice · Physics 2019-12-17 B. B. Brandt , F. Cuteri , G. Endrődi , S. Schmalzbauer