We study rotating fermionic matter at finite temperature in the framework of Nambu-Jona-Lasinio model. In order to respect causality rigidly system must be bound by a cylindrical boundary with appropriate conditions that confine fermions inside cylinder. show geometry MIT affects strongly phase structure model leading three distinct regions characterized explicitly broken (gapped), partially restored (nearly gapless) and spontaneously (gapped) phases at, respectively, small, moderate large...

The possible exotic meson $Z_{c}(3900)$, found in $e^+ e^-$ reactions, is studied by the method of coupled-channel scattering lattice QCD. interaction among $\pi J/\psi$, $\rho \eta_{c}$ and $\bar{D}D^{*}$ channels derived from (2+1)-flavor QCD simulations at $m_{\pi}=410$-$700$ MeV. dominated off-diagonal J/\psi$-$\bar{D}D^{*}$ \eta_{c}$-$\bar{D}D^{*}$ couplings, which indicates that $Z_{c}(3900)$ not a usual resonance but threshold cusp. Semi-phenomenological analyses with are presented to...

The ΩΩ system in the ^{1}S_{0} channel (the most strange dibaryon) is studied on basis of (2+1)-flavor lattice QCD simulations with a large volume (8.1 fm)^{3} and nearly physical pion mass m_{π}≃146 MeV at spacing a≃0.0846 fm. We show that data analysis by HAL method leads to scattering length a_{0}=4.6(6)(_{-0.5}^{+1.2}) fm, effective range r_{eff}=1.27(3)(_{-0.03}^{+0.06}) binding energy B_{ΩΩ}=1.6(6)(_{-0.6}^{+0.7}) MeV. These results indicate has an overall attraction located near...

The nucleon($N$)-Omega($\Omega$) system in the S-wave and spin-2 channel ($^5$S$_2$) is studied from (2+1)-flavor lattice QCD with nearly physical quark masses ($m_\pi \simeq 146$~MeV $m_K 525$~MeV). time-dependent HAL method employed to convert data of two-baryon correlation function baryon-baryon potential eventually scattering observables. $N\Omega$($^5$S$_2$) potential, obtained under assumption that its couplings D-wave octet-baryon pairs are small, found be attractive all distances...

In order to avoid unphysical causality-violating effects any rigidly rotating system must be bounded in directions transverse the axis of rotation. We demonstrate that this requirement implies substantial dependence properties relativistically on boundary conditions. consider a interacting fermions described by Nambu-Jona-Lasinio model space cylindrical surface finite radius. confine inside cylinder we impose "chiral" MIT conditions its surface. These are parameterized continuous chiral...

The $\Xi\Xi$ interaction in the $^1$S$_0$ channel is studied to examine convergence of derivative expansion non-local HAL QCD potential at next-to-next-to-leading order (N$^2$LO). We find that (i) leading from N$^2$LO analysis gives scattering phase shifts accurately low energies, (ii) full only small correction even higher energies below inelastic threshold, and (iii) determined wall quark source agrees with one except short distances, thus, it correct energies. also study possible...

The momentum correlation functions of baryon pairs, which reflects the baryon-baryon interaction at low energies, are investigated for multi-strangeness pairs ($\Omega\Omega$ and $N\Omega$) produced in relativistic heavy-ion collisions. We calculate based on an expanding source model constrained by single-particle distributions. potentials taken from those obtained recent lattice QCD calculations nearly physical quark masses. Experimental measurements these different system sizes will help...

Single state saturation of the temporal correlation function is a key condition to extract physical observables such as energies and matrix elements hadrons from lattice QCD simulations. A method commonly employed check seek for plateau large Euclidean time. Identifying in cases having nearby states, however, non-trivial one may even be misled by fake plateau. Such situation takes place typically system with two or more baryons. In this study, we demonstrate explicitly danger possible...

In SU(3) lattice QCD formalism, we propose a method to extract gauge fields from link variables analytically. With this method, perform the first study on effective mass generation of off-diagonal gluons and infrared Abelian dominance in maximally case. Using QCD, investigate propagator gluon with $\mathrm{U}(1{)}_{3}\ifmmode\times\else\texttimes\fi{}\mathrm{U}(1{)}_{8}$ Landau fixing. The Monte Carlo simulation is performed ${16}^{4}$ at $\ensuremath{\beta}=5.7$, 5.8, 6.0 quenched level....

We discuss free Dirac fermions rotating uniformly inside a cylindrical cavity in the presence of background magnetic field parallel to cylinder axis. show that addition known bulk states system contains massive edge with masses inversely proportional radius cylinder. The appear at quantized threshold values fermion mass. In limit infinite mass remain finite but, generally, nonzero as contrasted whose become infinite. affects spectrum both and modes, may vanish certain field. moment inertia...

We investigate baryon-baryon (BB) interactions in the strangeness S = −2 sector via coupled-channel HAL QCD method which enables us to extract scattering observables from Nambu-Bethe-Salpeter (NBS) wave function on lattice. The simulations are performed with (almost) physical quark masses (m π 146MeV) and a huge lattice volume of La 8.1fm. discuss fate H-dibaryon state through ΛΛ NΞ scatterings

We present the latest lattice QCD results for baryon interactions obtained at nearly physical quark masses. N f = 2 + 1 nonperturbatively O(a) -improved Wilson action with stout smearing and Iwasaki gauge are employed on of (96a) 4 ≃(8.1fm) a -1 ≃2.3 GeV, where m π ≃146 MeV K ≃525 MeV. In this report, we study two-nucleon systems two-Ξ in S 0 channel 3 - D coupled channel, extract central tensor by HAL method. also NΩ interaction 5 which is relevant to pair-momentum correlation heavy-ion...

A novel quantum-classical hybrid scheme is proposed to efficiently solve large-scale combinatorial optimization problems. The key concept introduce a Hamiltonian dynamics of the classical flux variables associated with quantum spins transverse-field Ising model. Molecular fluxes can be used as powerful preconditioner sort out frozen and ambivalent for annealers. performance accuracy our smooth hybridization in comparison standard algorithms (the tabu search simulated annealing) are...

Using the eigen-mode of QCD Dirac operator $\Slash D=\gamma^\mu D^\mu$, we develop a manifestly gauge-covariant expansion and projection operators such as Wilson loop Polyakov loop. With this method, perform direct analysis correlation between confinement chiral symmetry breaking in lattice Monte Carlo calculation on $6^4$ at $\beta$=5.6. Even after removing low-lying modes, which are responsible to breaking, find that obeys area law, slope parameter corresponding string tension or force is...

In SU(3) lattice QCD, we study diagonal and off-diagonal gluon propagators in the maximally Abelian gauge with $\mathrm{U}(1{)}_{3}\ifmmode\times\else\texttimes\fi{}\mathrm{U}(1{)}_{8}$ Landau fixing. These are studied both coordinate space momentum space. The Monte Carlo simulation is performed on ${16}^{4}$ at $\ensuremath{\beta}=6.0$ ${32}^{4}$ $\ensuremath{\beta}=5.8$ 6.0 quenched level. four-dimensional Euclidean space-time, effective mass of gluons estimated as...

The cosmological scenario of the dark matter generated in hidden gauge theory based on grand unification is discussed. It found that stability halo our Galaxy and cosmic ray observation constrain, respectively, mass scale between standard model sectors. To obtain a phenomenologically consistent thermal evolution, entropy sector needs to be increased. We therefore propose where mini-inflation induced from potential coupled Standard sector, particular Higgs sector. This makes current density...

The approximated partial-wave decomposition method for discrete data on a cubic lattice, developed by Misner, is applied to the calculation of $S$-wave hadron-hadron scatterings HAL QCD in lattice QCD. We consider Nambu-Bethe-Salpeter (NBS) wave function spin-singlet ${\mathrm{\ensuremath{\Lambda}}}_{c}N$ system calculated ($2+1$)-flavor $(32a\text{ }\text{ }\mathrm{fm}{)}^{3}$ with spacing $a\ensuremath{\simeq}0.0907\text{ }\mathrm{fm}$ and...

The $\Delta\Delta$ dibaryon resonance $d^\ast (2380)$ with $(J^P, I)=(3^+, 0)$ is studied theoretically on the basis of 3-flavor lattice QCD simulation heavy pion masses ($m_\pi =679, 841$ and $1018$ MeV). By using HAL method, central $\Delta$-$\Delta$ potential in ${}^7S_3$ channel obtained from data spacing $a\simeq 0.121$ fm size $L\simeq 3.87$ fm. resultant shows a strong short-range attraction, so that quasi-bound state corresponding to formed binding energy $25$-$40$ MeV below...

First, we develop the counting rule for Nambu-Goldstone bosons to system including two-time derivative terms. In this case, type-II may appear along with massive ones. The number of is not reduced in contrast without We also investigate reduction degrees freedom from perspective Dirac-Bergmann theory constraints and reproduce Lorentz invariance. Then, construct generic Higgs model study a phenomenon these on basis theory. show that gauge fields absorb all such as type-I, type-II,

We present our recent results of baryon interactions with strangeness S = −1 based on Nambu-Bethe-Salpeter (NBS) correlation functions calculated fromlattice QCD almost physical quark masses corresponding to ( m k ,m ) ≈ (146, 525) MeV and large volume La 4 96a (8.1 fm) . In order perform a comprehensive study interactions, number NBS from NN ΞΞ are simultaneously by using scale computer resources. this contribution, we focus the channels hyperon means HAL method. Four sets three potentials...

We construct the local Gribov-Zwanziger action for SU(2) Euclidean Yang-Mills theories in maximally Abelian (MA) gauge with $\mathrm{U}(1{)}_{3}$ Landau fixing based on Zwanziger's work gauge. By restricting functional integral region to Gribov MA gauge, we give nonlocal action. localize new fields and obtain shift of scalar fields, which has terms corresponding localized horizon function The diagonal gluon propagator at tree level behaves like from shows violation Kallen-Lehmann...

We discuss that a low-energy effective Lagrangian relying on SO(3) $\rightarrow$ SO(2) is applicable for ferrimagnet as well ferromagnet and an antiferromagnet. The analysis of the particle states shows there exist not only massless modes with dispersion relations $\omega \propto |\bm{k}|,\, |\bm{k}|^2$, i.e., so-called type-I type-II Nambu-Goldstone modes, respectively, but also gapped m^2+|\bm{k}|^2$. clarify how coefficients terms one time derivative those two derivatives in determine...

The strangeness S = −2 baryon-baryon interaction is investigated directly from the fundamental theory of strong interaction, QCD. HAL QCD method enables us to extract baryon interactions Nambu-Bethe-Salpeter wave functions without using any experimental information. We discuss properties S=−2 potentials which are calculated by (almost) physical point gauge configurations with large lattice volume (8.1fm)4 generated on K-computer.