The vector meson mass in the large N limit of QCD
A. Hietanen, R. Narayanan, R. Patel, C. Prays
在QCD的大N极限下，矢量介子质量被计算为夸克质量的函数。我们采用连续约化，直接在动量空间中计算矢量介子传播子。夸克动量的插入使用淬火动量处方。
The vector meson mass is computed as a function of quark mass in the large N limit of QCD. We use continuum reduction and directly compute the vector meson propagator in momentum space. Quark momentum is inserted using the quenched momentum prescription.
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We extend the formalism pioneered by Callan, Coote and Gross to investigate the meson-meson scattering within the framework of 't Hooft model, i.e., the two-dimensional QCD in the $N_c\to \infty$ limit. We derive the analytic expressions for various two-body meson-meson scattering amplitudes, concentrating on those quark diagrams which may be identified as the meson-meson contact interaction vertex in the context of the mesonic effective lagrangian in $1/N_c$ expansion. We also carry out a detailed numerical study for the meson-meson scattering for various quark flavors, and observe the near-t…
The eta and eta' mesons in QCD
本文用格点量子色动力学从第一性原理出发研究了味单重态赝标介子。我们探讨了$η$和$η'$介子的夸克含量，并讨论了它们的衰变常数。
Lattice QCD calculations of resonant meson-meson scattering amplitudes have improved significantly due to algorithmic and computational advances. However, progress in meson-nucleon scattering has been slower due to difficulties in computing the necessary correlation functions, the exponential signal-to-noise problem, and the finite-volume treatment of scattering with fermions. Nonetheless, first benchmark calculations have now been performed. The status of lattice QCD calculations of meson-nucleon scattering amplitudes is reviewed together with comments on future prospects.
We revisit the static potential for the $Q Q \bar Q \bar Q$ system using SU(3) lattice simulations, studying both the colour singlets groundstate and first excited state. We consider geometries where the two static quarks and the two anti-quarks are at the corners of rectangles of different sizes. We analyse the transition between a tetraquark system and a two meson system with a two by two correlator matrix. We compare the potentials computed with quenched QCD and with dynamical quarks. We also compare our simulations with the results of previous studies and analyze quantitatively fits of our…
We derive the pion mass and the elastic pion-pion scattering amplitude in the QCD theta-vacuum up to next-to-leading order in chiral perturbation theory. Using the modified inverse amplitude method, we study the theta-dependence of the mass and width of the light scalar meson sigma(500) and the vector meson rho(770).
Mesons in Transverse Lattice QCD at Strong Coupling and Large-N
本文在强耦合横格点的光阵面坐标系中分析了大N量子色动力学中的介子。在这个极限下，它们的性质可以表示为t Hooft模型结果的简单重正化。导出了介子的积分本征值方程。从这个方程可以数值计算各种介子的光谱、光锥波函数和形状因子。
Updated predictions for the decay constants of the D, Ds, B and Bs mesons obtained from Borel QCD sum rules for heavy-light currents are presented and compared with the recent lattice averages performed by the Flavor Lattice Averaging Group. An excellent agreement is obtained in the charm sector, while some tension is observed in the bottom sector. Moreover, available lattice and QCD sum-rule calculations of the decay constants of the vector D*, Ds*, B* and Bs* mesons are compared. Again some tension in the bottom sector is observed.
Hybrid meson properties in Lattice QCD and Flux Tube Models
磁通管模型对混合介子衰变的预言正开始受到格点量子色动力学的挑战。我们比较了这两种方法的$S$波衰减的异国情调的$1^{-+}$，并找到很好的协议。结果表明，在强QCD中，当S=1时，发生\qq ~产生.
We summarise the current status of lattice QCD computations of neutral meson parameters in the $B_d^0$ and the $B_s^0$ systems. We comment on recent results and anticipate further improvements on the uncertainties in the future.
Compared with lattice QCD, isospin breaking of heavy-meson decay constants from QCD sum rules agrees for $D$ mesons but disagrees (by a factor of four) for $B$ mesons.
B and D Mesons in Lattice QCD
本文综述了B和D介子格点量子色动力学计算和理论研究的进展。给出了几个典型的例子：计算HQET参数\bar Λ和λ_1的新思想;确定HQET参数所需的形状因子;| V_{cb}|和|V_{ub}|袋参数的质量差的B介子和衰变常数。消除淬火近似的前景进行了讨论。
QCD sum rules for decay constants of heavy mesons with $u$ or $d$ quark yield for $B$ mesons much less isospin breaking than lattice QCD but good agreement for $D$ mesons.
The omega-rho meson mass splitting and mixing from lattice QCD
我们用格点量子色动力学从第一性原理出发比较了味单重态和非单重态矢量介子。对于N_f=2的轻夸克，这解决了ω-ρ质量差。利用最大扭曲质量格点量子色动力学，我们首次精确地测定了这种质量差，并与实验进行了比较。我们还讨论了在QCD中通过u-d夸克质量差产生的ω-ρ混合效应。
We study the light scalar mesons a_0(980) and kappa using N_f = 2+1+1 flavor lattice QCD. In order to probe the internal structure of these scalar mesons, and in particular to identify, whether a sizeable tetraquark component is present, we use a large set of operators, including diquark-antidiquark, mesonic molecule and two-meson operators. The inclusion of disconnected diagrams, which are technically rather challenging, but which would allow us to extend our work to e.g. the f_0(980) meson, is introduced and discussed.
We consider effective theory treatment for the lowest-lying $S$- and $P$-wave states of charmed mesons. In our analysis, quantum corrections and contributions from leading chiral and heavy quark symmetry breakings are taken into account. The heavy meson mass expressions have abundance parameters, low-energy constants, in comparison to the measured charmed mesons masses. The experimental and lattice QCD data on charmed meson spectroscopy are used to extract, for the first time, the numerical values of the full set of low-energy constants of the effective chiral Lagrangian. Our results on these …
Lattice QCD and chiral mesons
标准QCD作用量通过增加由手征复合体构建的不相关算子得到改进。利用辅助场导出了一个有效的拉格朗日量，它具有唯象手征拉格朗日量的形式。我们改进的QCD行动似乎有希望的数值模拟的π物理是明确占辅助领域。
Properties of the a1 Meson from Lattice QCD
利用格点量子色动力学的蒙特卡罗模拟，我们确定了$a_1$介子的质量和衰变常数.我们发现$M_{a_1} = 1250 \pm 80$ MeV和$f_{a_1} = 0.30 \pm 0.03 ~({\rm GeV})^2$，与实验符合得很好。
We present lattice results on the meson spectrum and decay constants in large-N QCD. The results are obtained in the quenched approximation for N = 2, 3, 4, 5, 6, 7 and 17 and extrapolated to infinite N.
Using the axial-vector coupling and the electromagnetic form factors of the D and D* mesons in 2+1 flavor Lattice QCD, we compute the D*Dπ, DDρand D*D*ρcoupling constants, which play an important role in describing the charm hadron interactions in terms of meson-exchange models. We also extract the charge radii of D and D* mesons and determine the contributions of the light and charm quarks separately.
Recent lattice results on the meson and baryon spectrum with a focus on the determination of hadronic resonance masses and widths using a combined basis of single-hadron and hadron-hadron interpolating fields are reviewed. These mostly exploratory calculations differ from traditional lattice QCD spectrum calculations for states stable under QCD, where calculations with a full uncertainty estimate are already routinely performed. Progress and challenges in these calculations are highlighted.
Chiral symmetry restoration high in the hadron spectra is expected but it remains to be confirmed both in lattice QCD computations and in experiments. Recently, a theorem was derived, relating chiral symmetry restoration high in the hadron spectra to the spontaneous generation of the dynamical quark mass in QCD. We refine the theorem in the case of static-light mesons. Utilizing chiral quark model computations and lattice QCD results for the spectrum of mesons composed by a static antiquark and a light quark, we explore chiral symmetry restoration in the spectrum and the quark running mass m(k…
We study light meson properties in a magnetic field, focusing on a charged pion and a charged and polarized rho meson, in quenched lattice QCD. The gauge-invariant density-density correlators are calculated to investigate the deformation caused by the magnetic field. We find that these mesons acquire elongated shapes along the magnetic field. The magnitude of the deformation is about 10-20 % when the strength of the magnetic field is of the order of the squared unphysical pion mass.
There are generally two types of Wick contractions in lattice QCD calculations of a correlation function --- connected and disconnected ones. The disconnected contribution is difficult to calculate and noisy, thus it is often neglected. In the context of studying tetraquarks, hadronic molecules and meson-meson scattering, we show that whenever there are both connected and singly disconnected contractions, the singly disconnected part gives the leading order contribution, and thus should never be neglected. As an explicit example, we show that information about the scalar mesons sigma, f0(980),…
We present results for correlators and spectral functions of open charm mesons using 2+1 flavours of clover fermions on anisotropic lattices. The D mesons are found to dissociate close to the deconfinement crossover temperature Tc. Our preliminary results suggest a shift in the thermal D meson mass below Tc. Mesons containing strange quarks exhibit smaller thermal modifications than those containing light quarks.
The flavour singlet mesons in QCD
我们用格点量子色动力学从第一性原理出发研究了味单重态介子。我们探讨了矢量和轴向介子的味单线态和非单线态之间的分裂，以及更常见的标量和赝标量介子的研究情况。
Screening masses of mesons in 2+1 flavour QCD
本文给出了在6 × 24^3格点上用改进的（p4 fat 3）交错费米子在2+1味QCD中筛选质量轻的奇异介子的结果。我们研究了标量介子、赝标量介子、矢量介子和轴矢量介子的屏蔽质量，它们是由π介子质量~220 MeV和K介子质量~500 MeV确定的。为了研究截止值和体积的依赖性，我们还使用p4和标准交错离散化对非相互作用理论中的介子屏蔽子进行了研究。
Gluonia, Scalar and Hybrid Mesons in QCD
为了给下一个千年的实验提供一些指导，我回顾了从QCD谱求和规则和低能定理确定胶子、纯介子和混合介子的质量、衰变和混合的方法，并将它们与格点进行了比较。
We present preliminary results of an ongoing lattice QCD computation of the spectrum of $D$ mesons and $D_s$ mesons and of charmonium using 2+1+1 flavors of twisted mass sea and valence quarks.
We study correlation functions of various static meson operators of size r at non-zero temperature in 2+1 flavor QCD, including Coulomb gauge fixed operators and Wilson loops with smeared spatial parts. The numerical calculations are performed on 24^3x6 lattices using highly improved staggered quark action. We discuss possible implications of our findings on the temperature dependence of the static energy of QQbar pair.
Latest results from lattice QCD for exotic hybrid mesons
本文回顾了格点规范理论对奇异混合介子质量的研究结果。
Hybrid and Orbitally Excited Mesons in Full QCD
我们给出了在全QCD中用Wilson费米子激发胶子产生的混合介子谱的结果。对于J^{PC}=1^{-+}、0^{+-}和2^{+-}的自旋奇异介子，我们发现最轻的态是1^{-+}，质量为1.9（2）GeV。轨道激发介子的结果也提出。
We present first results of a 2+1+1 flavor twisted mass lattice QCD computation of strange and charm meson masses. We focus on D and D_s mesons with spin J = 0,1 and parity P = -,+.
Meson-Meson and Meson-Baryon Interactions in Lattice QCD
我们研究了格点量子色动力学中的介子-介子和介子-重子相互作用。在β=5.7的20^3 * 24格点上，采用Wilson规范作用量和淬灭态的Wilson费米子进行了模拟。通过对每个强子采用一个静态夸克作为“重-轻介子”和“重-轻-轻重子”，定义了两个强子之间的距离$r$，并从两粒子态及其渐近态的能量差中提取了强子间的相互作用势.我们发现在0.2fm <= r <= 0.8fm的整个范围内，介子-介子势和介子-重子势都是非常弱的。包括/排除夸克交换图的影响被认为是边际。
We review various B meson decays that require knowledge of the transverse decay constant of the b1(1235) meson. We report on an exploratory lattice QCD calculation of the transverse decay constant of the b1 meson. The lattice QCD calculations used unquenched gauge configurations, at two lattice spacings, generated with two flavours of sea quarks. The twisted mass formalism is used.
We investigate the real and imaginary chemical-potential dependence of pion and $ρ$-meson screening masses in both the confinement and the deconfinement region by using two-flavor lattice QCD. The spatial meson correlators are calculated in the imaginary chemical potential region with lattice QCD simulations. We extract pion and $ρ$-meson screening masses from the correlators. The obtained meson screening masses are extrapolated to the real chemical potential region by assuming some analytic function. In the real chemical potential region, the resulting pion and $ρ$-meson screening masses mono…
Slight sophistications of the QCD sum-rule formalism may have great impact on the reliability of predicted hadron observables, as exemplified for the case of heavy-meson decay constants.
The eta' meson from lattice QCD
本文用格点量子色动力学从第一性原理出发研究了味单重态赝标介子。当N_f=2时，这就是所谓的eta_2介子，并讨论了它的唯象地位。利用最大扭曲质量格点量子色动力学，我们提取了比文献中讨论的轻夸克在两个格点间距值下的η_2介子质量。我们能够用轻夸克的物理质量估计其极限质量值。
Pseudoscalar and vector meson form factors from lattice QCD
本文在猝灭格点量子色动力学框架下，利用脂肪链无关三叶草（FLIC）作用量计算了赝标和矢量介子的形状因子.特别令人感兴趣的是负四极矩的测定，表明$ρ$介子不是球对称的。
QCD meson spectrum in the large $N_C$ limit
计算了$N_C$大极限下QCD的低能质量谱。在强耦合微扰展开中，介子谱中的低能级被明确地计算到四阶。t Hooft极限是光滑的，介子质量与实验值符合得很好。
Hybrid mesons from quenched QCD
我们用格点方法从第一性原理计算了夸克质量接近奇异夸克质量的猝灭QCD中胶子激发产生的混杂介子的能谱。对于具有$J^{PC}=1^{-+},\ 0^{+-}$和$2^{+-}$的自旋奇异介子，我们确定其最轻态为质量为2.0（2）GeV的$1^{-+}$.
We report results for the masses of the flavour non-singlet light 0++, 1--, and 1+- mesons from unquenched lattice QCD at two lattice spacings. The twisted mass formalism was used with two flavours of sea quarks. For the 0++ and 1+- mesons we look for the effect of decays on the mass dependence. For the light vector mesons we study the chiral extrapolations of the mass. We report results for the leptonic and transverse decay constants of the rho meson. We test the mass dependence of the KRSF relations.
Meson Correlators in Finite Temperature Lattice QCD
我们分析了T>0时猝灭格点量子色动力学中的时间和空间介子关联函数。在T_c以下，我们观察到介子的性质与T=0相比几乎没有变化.在T_c以上，我们观察到新的特征：手征对称性恢复和等离子体形成的信号，但也表明持续的介子（亚稳）态和不同的时间和空间质量的介子通道。这表明QGP在1 - 1.5T_c区域内的图象是复杂的.
Static-light meson masses from twisted mass lattice QCD
我们用双味Wilson扭曲质量格点量子色动力学计算了静态光介子谱。我们考虑了对应于300 MeV < m_PS < 600 MeV的轻夸克质量的五个不同值。我们外推了我们的结果，对B和B_s介子的能谱作了预言。
Lattice QCD can provide a direct determination of meson electromagnetic form factors, making predictions for upcoming experiments at Jefferson Lab. The form factors are a reflection of the bound-state nature of the meson and so these calculations give information about how confinement by QCD affects meson internal structure. The region of high squared (space-like) momentum-transfer, $Q^2$, is of particular interest because perturbative QCD predictions take a simple form in that limit that depends on the meson decay constant. We previously showed in\cite{jonnaff} that, up to $Q^2$ of 6 $\mathrm…
Hybrid and Orbitally Excited Mesons in Quenched QCD
我们用格点方法从第一性原理计算了夸克质量接近奇异夸克质量的猝灭QCD中胶子激发产生的混杂介子的能谱。对于具有$J^{PC}=1^{-+},\ 0^{+-}$和$2^{+-}$的自旋奇异介子，我们确定其最轻态为质量为2.0（2）GeV的$1^{-+}$.轨道激发介子的结果也提出。
Neutral mesons and disconnected diagrams in Twisted Mass QCD
我们在Nf=2的TMQCD动力学模拟中计算了最大扭曲下中性介子的性质。研究了π介子--确定了同位旋分裂的大小（a^2级效应）。我们研究了eta'（Nf=2的味单重赝标介子）和中性ρ介子及标量介子.我们表明，断开图可以非常有效地评估TMQCD使用方差减少方法。
Meson mass spectrum at finite temperature and density in the strong coupling limit of lattice QCD for color SU(3)
本文研究了SU（N_c）色规范群（包括N_c=3）中具有一种交错费米子的格点量子色动力学在强耦合极限下的介子质量谱。通过手征凝聚，我们解析地导出了介子质量随温度和化学势的变化。我们发现当化学势或温度接近临界值时，介子质量迅速减小到零。
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