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Convergence of Ginzburg-Landau expansions: superconductivity in the BCS theory and chiral symmetry breaking in the NJL model 金兹堡-朗道展开的收敛性:BCS 理论中的超导性和 NJL 模型中的手性对称破缺
IF 3.5 4区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-03-02 DOI: 10.1093/ptep/ptae032
William Gyory, Naoki Yamamoto
We study the convergence of the Ginzburg-Landau (GL) expansion in the context of the Bardeen-Cooper-Schrieffer (BCS) theory for superconductivity and the Nambu–Jona-Lasinio (NJL) model for chiral symmetry breaking at finite temperature T and chemical potential μ. We present derivations of the all-order formulas for the coefficients of the GL expansions in both systems under the mean-field approximation. We show that the convergence radii for the BCS gap Δ and dynamical quark mass M are given by Δconv = πT and $M_{rm conv} = sqrt{mu ^2 + (pi T)^2}$, respectively. We also discuss the implications of these results and the quantitative reliability of the GL expansion near the first-order chiral phase transition.
我们研究了在有限温度 T 和化学势 μ 下,超导的 Bardeen-Cooper-Schrieffer (BCS) 理论和手性对称破缺的 Nambu-Jona-Lasinio (NJL) 模型中金兹堡-朗道(GL)展开的收敛性。我们介绍了这两个系统中平均场近似下 GL 展开系数的全阶公式推导。我们表明,BCS间隙Δ和动态夸克质量M的收敛半径分别由Δconv = πT和$M_{rm conv} = sqrt{mu ^2 + (pi T)^2}$ 给出。我们还讨论了这些结果的意义以及一阶手性相变附近 GL 扩展的定量可靠性。
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引用次数: 0
Decays of standard model like higgs boson h → γγ, Zγ in a minimal left-right symmetric model 极小左右对称模型中类似标准模型希格斯玻色子 h → γγ, Zγ 的衰变
IF 3.5 4区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-03-02 DOI: 10.1093/ptep/ptae029
T T Hong, V K Le, L T T Phuong, N C Hoi, N T K Ngan, N H T Nha
Two decay channels h → γγ, Zγ of the Standard Model-like Higgs in a left-right symmetry model are investigated under recent experimental data. We will show there exist one-loop contributions that affect the h → Zγ amplitude, but not the h → γγ amplitude. From numerical investigations, we show that the signal strength μZγ of the decay h → Zγ is still constrained strictly by that of h → γγ, namely $|Delta mu _{gamma gamma }|<38%$ results in max $|Delta mu _{Z gamma }|<46%$. On the other hand, the future experimental sensitivity $|Delta mu _{gamma gamma }|=4%$ still allows |ΔμZγ| reaches to values larger than the expected sensitivity $|Delta mu _{Z gamma }|=23%$.
根据最近的实验数据,我们研究了在左右对称模型中类似标准模型的希格斯粒子的两个衰变通道 h → γγ, Zγ。我们将证明存在影响 h → Zγ 振幅而不影响 h →γγ 振幅的一环贡献。通过数值研究,我们发现衰变h → Zγ的信号强度μZγ仍然严格受制于h → γ的信号强度μZγ,即$|Delta mu _{Z gamma }|<38%$ 结果为最大$|Delta mu _{Z gamma }|<46%$ 。另一方面,未来的实验灵敏度 $|Delta mu _{Z gamma }|=4%$ 仍然允许 |ΔμZγ| 达到比预期灵敏度 $|Delta mu _{Z gamma }|=23%$ 更大的值。
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引用次数: 0
Matrix regularization for gauge theories 规整理论的矩阵正则化
IF 3.5 4区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-03-02 DOI: 10.1093/ptep/ptae031
Hiroyuki Adachi, Goro Ishiki, Satoshi Kanno
We consider how gauge theories can be described by matrix models. Conventional matrix regularization is defined for scalar functions and is not applicable to gauge fields, which are connections of fiber bundles. We clarify how the degrees of freedom of gauge fields are related to the matrix degrees of freedom, by formulating the Seiberg-Witten map between them.
我们考虑如何用矩阵模型描述规规理论。传统的矩阵正则化是为标量函数定义的,不适用于轨距场,因为轨距场是纤维束的连接。我们阐明了规规场的自由度与矩阵自由度之间的关系,提出了它们之间的塞伯格-维滕映射(Seiberg-Witten map)。
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引用次数: 0
On thermal transition in QCD 关于 QCD 中的热转变
IF 3.5 4区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-03-01 DOI: 10.1093/ptep/ptae033
Masanori Hanada, Hiromasa Watanabe
We describe how the general mechanism of partial deconfinement applies to large-N QCD and the partially-deconfined phase inevitably appears between completely-confined and completely-deconfined phases. Furthermore, we propose how the partial deconfinement can be observed in the real-world QCD with the SU(3) gauge group. For this purpose, we employ lattice configurations obtained by the WHOT-QCD collaboration and examine our proposal numerically. In the discussion, the Polyakov loop plays a crucial role in characterizing the phases, without relying on center symmetry, and hence, we clarify the meaning of the Polyakov loop in QCD at large N and finite N. Both at large N and finite N, the complete confinement is characterized by the Haar-random distribution of the Polyakov line phases. Haar-randomness, which is stronger than unbroken center symmetry, indicates that Polyakov loops in any nontrivial representations have vanishing expectation values, and deviation from the Haar-random distribution at higher temperatures is quantified with the loops. We discuss that the transitions separating the partially-deconfined phase are characterized by the behaviors of Polyakov loops in various representations. The lattice QCD data provide us with the signals exhibiting two different characteristic temperatures: deconfinement of the fundamental representation and deconfinement of higher representations. As a nontrivial test for our proposal, we also investigate the relation between partial deconfinement and instanton condensation and confirm the consistency with the lattice data. To make the presentation more easily accessible, we provide a detailed review of the previously known aspects of partial deconfinement.
我们描述了部分去约束的一般机制如何适用于大 N QCD,以及部分去约束相如何不可避免地出现在完全约束相和完全去约束相之间。此外,我们还提出了如何在具有 SU(3) 轨则群的真实 QCD 中观察到部分去约束。为此,我们采用了 WHOT-QCD 协作获得的晶格构型,并对我们的建议进行了数值检验。在讨论中,波里雅科夫环在表征相位方面发挥了关键作用,而无需依赖中心对称,因此我们澄清了波里雅科夫环在大 N 和有限 N 的 QCD 中的意义。哈尔-随机性比不破中心对称性更强,它表明任何非三维表示的波里雅科夫环具有消失的期望值,而在更高温度下偏离哈尔-随机分布的情况可以用环量化。我们讨论了分离部分解约束相的跃迁是由各种表征中的波里雅科夫环的行为所表征的。格子 QCD 数据为我们提供了表现出两种不同特征温度的信号:基本表征的解约束和更高表征的解约束。作为对我们建议的一个非简单测试,我们还研究了部分去抵消和瞬子凝聚之间的关系,并确认了与晶格数据的一致性。为了使介绍更容易理解,我们详细回顾了部分去协方性的先前已知方面。
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引用次数: 0
Theory of CP angles measurements CP 角测量理论
IF 3.5 4区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-02-25 DOI: 10.1093/ptep/ptae028
Amarjit Soni
In the early 80’s Sanda-san and collaborators wrote key papers on the direct and clean determination of the unitarity angle φ1 (β). This motivated many of us for analogously coming up with ways for direct and clean determinations of the other two unitarity angles, φ2(α) and φ3(γ). Current status of these direct determinations as well as our expectations for when Belle-II has 50 ab−1 of luminosity and LHCb with some upgrades, will be given. In particular, it is emphasized that for direct determination of φ3, Belle-II should be able to handle final states in D0 or $bar{D}^0$ Dalitz decays, that contain one π0 (which are difficult for LHCb) then they may make further inroads in improving the accuracy of φ3 determination. Early lattice inputs for constraining the unitarity triangle (UT) are briefly recalled. Its crucial role in supporting the Kobayashi-Maskawa theory of CP violation is emphasized. Over the years lattice methods have made significant progress and latest constraints from these for the UT will be discussed as well as compatibility with current direct determinations and some comments on future outlook will be made.
80 年代初,桑达先生及其合作者撰写了关于直接、简洁测定单位角 φ1 (β) 的重要论文。这激励了我们中的许多人,进而想出了类似的方法来直接和简洁地测定另外两个单位角,即φ2(α)和φ3(γ)。将介绍这些直接测定的现状,以及我们对 Belle-II 达到 50 ab-1 光度和 LHCb 升级后的预期。特别强调的是,为了直接测定φ3,Belle-II应该能够处理D0或$bar{D}^0$ Dalitz衰变的终态,其中包含一个π0(这对LHCb来说是困难的),然后它们可能会在提高φ3测定的准确性方面取得进一步的进展。下面简要回顾一下早期用于约束单位性三角形(UT)的晶格输入。强调了它在支持小林-掩川(Kobayashi-Maskawa)CP 违反理论中的关键作用。多年来,晶格方法取得了重大进展,我们将讨论这些方法对UT的最新约束以及与当前直接测定的兼容性,并对未来前景提出一些看法。
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引用次数: 0
Nambu-bracket for three-dimensional ideal fluid dynamics and magnetohydrodynamics 用于三维理想流体动力学和磁流体动力学的 Nambu 支架
IF 3.5 4区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-02-17 DOI: 10.1093/ptep/ptae025
Yasuhide Fukumoto, Rong Zou
The ideal magnetohydrodynamics (MHD) as well as the ideal fluid dynamics is governed by the Hamilton equation with respect to the Lie-Poisson bracket. The Nambu bracket manifestly represents the Lie-Poisson structure in terms of derivative of the Casimir invariants. We construct a compact Nambu-bracket representation for the three-dimensional ideal MHD equations, with use of three Casimirs for the second Hamiltonians, the total entropy and the magnetic and cross helicities, whose coefficients are all constant. The Lie-Poisson bracket induced by this Nambu bracket does not coincide with the original one, but supplemented by terms with an auxiliary variable. The supplemented Lie-Poisson bracket qualifies the cross-helicity as the Casimir. By appealing to Noether’s theorem, we show that the cross-helicity is the integral invariant associated with the particle-relabeling symmetry. Employing the Lagrange label function, as the independent variable in the variational framework, facilitates implementation of the relabeling transformation. By incorporating the divergence symmetry, other known topological invariants are put on the same ground of Noether’s theorem.
理想磁流体动力学(MHD)和理想流体动力学都受关于 Lie-Poisson 方括号的汉密尔顿方程支配。南布括号通过卡西米尔不变式的导数来表示列-泊松结构。我们为三维理想 MHD 方程构建了一个紧凑的南布括号表示法,使用三个卡西米尔来表示第二哈密顿、总熵以及磁螺旋和交叉螺旋,其系数均为常数。这个南布括号所诱导的李-泊松括号并不与原始括号重合,而是由带有辅助变量的项所补充。补充后的李-泊松括号将交叉螺旋限定为卡西米尔。利用诺特定理,我们证明了交叉螺旋是与粒子标记对称性相关的积分不变量。采用拉格朗日标注函数作为变分框架中的自变量,有助于实现重标注变换。通过纳入发散对称性,其他已知拓扑不变式也被置于诺特定理的同一基础之上。
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引用次数: 0
First Study of the PIKACHU Project: Development and Evaluation of High-Purity Gd3Ga3Al2O12:Ce Crystals for 160Gd Double Beta Decay Search PIKACHU 项目的首次研究:开发和评估用于 160Gd 双β衰变搜索的高纯度 Gd3Ga3Al2O12:Ce 晶体
IF 3.5 4区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-02-17 DOI: 10.1093/ptep/ptae026
Takumi Omori, Takashi Iida, Azusa Gando, Keishi Hosokawa, Kei Kamada, Keita Mizukoshi, Yasuhiro Shoji, Masao Yoshino, Ken-Ichi Fushimi, Hisanori Suzuki, Kotaro Takahashi
Uncovering neutrinoless double beta decay (0ν2β) is crucial for confirming neutrinos’ Majorana characteristics. The decay rate of 0νββ is theoretically uncertain, influenced by nuclear matrix elements that vary across nuclides. To reduce this uncertainty, precise measurement of the half-life of neutrino-emitting double beta decay (2ν2β) in different nuclides is essential. We have launched the PIKACHU (Pure Inorganic scintillator experiment in KAmioka for CHallenging Underground sciences) project to fabricate high-purity Ce-doped Gd3Ga3Al2O12 (GAGG) single crystals and use them to study the double beta decay of 160Gd. Predictions from two theoretical models on nuclear matrix element calculations for 2ν2β in 160Gd show a significant discrepancy in estimated half-lives, differing by approximately an order of magnitude. If the lower half-life estimation holds true, detecting 2ν2β in 160Gd could be achievable with a sensitivity enhancement slightly more than an order of magnitude compared to prior investigations using Ce-doped Gd2SiO5 (GSO) crystal. We have successfully developed GAGG crystals with purity levels surpassing previous standards through refined purification and selection of raw materials. Our experiments with these crystals indicate the feasibility of reaching sensitivities exceeding those of earlier studies. This paper discusses the ongoing development and scintillator performance evaluation of High-purity GAGG crystals, along with the anticipated future prospects of the PIKACHU experiment.
揭示无中微子双β衰变(0ν2β)对于证实中微子的马约拉纳特性至关重要。从理论上讲,0νβ 的衰变率是不确定的,受到核基质元素的影响,不同核素的衰变率各不相同。为了减少这种不确定性,必须精确测量不同核素的中微子发射双β衰变半衰期(2ν2β)。我们启动了 PIKACHU(为挑战地下科学而在近冈进行的纯无机闪烁体实验)项目,以制造高纯度掺杂 Ce 的 Gd3Ga3Al2O12(GAGG)单晶体,并利用它们来研究 160Gd 的双β衰变。两个核矩阵元素计算理论模型对 160Gd 中 2ν2β 的预测显示,估计的半衰期存在显著差异,相差约一个数量级。如果较低的半衰期估计值成立,那么探测 160Gd 中的 2ν2β,其灵敏度会比使用掺杂 Ce 的 Gd2SiO5(GSO)晶体的先前研究提高一个数量级以上。通过对原材料的精炼和筛选,我们成功研制出了纯度超过以往标准的 GAGG 晶体。我们用这些晶体进行的实验表明,达到超过早期研究的灵敏度是可行的。本文讨论了正在进行的高纯度 GAGG 晶体开发和闪烁体性能评估,以及 PIKACHU 实验的预期未来前景。
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引用次数: 0
Enhanced classical radiation damping of electronic cyclotron motion in the vicinity of the Van Hove singularity in a waveguide 波导范霍夫奇点附近电子回旋运动的经典辐射阻尼增强
IF 3.5 4区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-02-10 DOI: 10.1093/ptep/ptae021
Yuki Goto, Savannah Garmon, Tomio Petrosky
We study the damping process of electron cyclotron motion and the resulting emission in a waveguide using the classical Friedrichs model without relying on perturbation analysis such as Fermi’s golden rule. A Van Hove singularity appears at the lower bound (or cut-off frequency) of the dispersion associated with each of the electromagnetic field modes in the waveguide. In the vicinity of the Van Hove singularity, we found that not only is the decay process associated with the resonance pole enhanced (amplification factor ∼104) but the branch-point effect is also comparably enhanced. As a result, the timescale on which most of the decay occurs is dramatically shortened. Further, this suggests that the non-Markovian branch point effect should be experimentally observable in the vicinity of the Van Hove singularity. Our treatment yields a physically-acceptable solution without the problematic runaway solution that is well known to appear in the traditional treatment of classical radiation damping based on the Abraham-Lorentz equation.
我们利用经典的弗里德里希斯模型研究了电子回旋运动的阻尼过程以及由此在波导中产生的发射,而不依赖于费米黄金定律等扰动分析。范霍夫奇点出现在与波导中每种电磁场模式相关的色散下限(或截止频率)处。我们发现,在范霍夫奇点附近,不仅与共振极相关的衰减过程会增强(放大系数 ∼104),而且支点效应也会相应增强。因此,大部分衰变发生的时间尺度大大缩短。此外,这表明在范霍夫奇点附近应该可以通过实验观测到非马尔可夫分支点效应。我们的处理方法产生了一个物理上可接受的解,而不会出现众所周知的基于亚伯拉罕-洛伦兹方程的经典辐射阻尼传统处理方法中出现的失控解问题。
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引用次数: 0
Gadolinium concentration measurement with an atomic absorption spectrophotometer 用原子吸收分光光度计测量钆的浓度
IF 3.5 4区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-02-10 DOI: 10.1093/ptep/ptae022
Ll Marti, L Labarga
Because gadolinium (Gd) has the highest thermal neutron capture cross section, resulting in an 8 MeV gamma cascade upon capture, it has been proposed for dissolution in water Cherenkov detectors to achieve efficient neutron tagging capabilities. While metallic Gd is insoluble in water, several compounds are very easy to dissolve. Gadolinium sulfate, Gd2(SO4)3, has been thoroughly tested and proposed as the best candidate. Accurate measurement of its concentration, free of doubt from impurities in water, is crucial. An atomic absorption spectrophotometer (AAS) is a device that suits this purpose and is widely used to measure the concentration of many elements. In this study, we describe three different approaches to measure Gd sulfate concentrations in water using an AAS: doping samples with potassium and lanthanum, and employing tantalum and tungsten platforms.
由于钆(Gd)具有最高的热中子俘获截面,俘获时会产生 8 MeV 的伽马级联,因此有人建议将其溶解在水切伦科夫探测器中,以实现高效的中子标记能力。虽然金属钆不溶于水,但有几种化合物却非常容易溶解。硫酸钆(Gd2(SO4)3)经过全面测试,被认为是最佳候选化合物。精确测量钆的浓度,排除水中杂质的干扰,是至关重要的。原子吸收分光光度计(AAS)是一种适合这一目的的设备,被广泛用于测量许多元素的浓度。在本研究中,我们介绍了使用原子吸收分光光度计测量水中硫酸钆浓度的三种不同方法:在样品中掺入钾和镧,以及使用钽和钨平台。
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引用次数: 0
Toward nuclear physics from lattice QCD on quantum computers 在量子计算机上从格子 QCD 走向核物理
IF 3.5 4区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-02-07 DOI: 10.1093/ptep/ptae019
Arata Yamamoto, Takumi Doi
One of the ultimate missions of lattice QCD is to simulate atomic nuclei from the first principle of the strong interaction. This is an extremely hard task for the current computational technology, but might be reachable in coming quantum computing era. In this paper, we discuss the computational complexities of classical and quantum simulations of lattice QCD. It is shown that the quantum simulation scales better as a function of a nucleon number and thus will outperform for large nuclei.
格子 QCD 的终极任务之一是根据强相互作用的第一原理模拟原子核。这对目前的计算技术来说是一项极其艰巨的任务,但在即将到来的量子计算时代或许可以实现。在本文中,我们讨论了晶格 QCD 的经典模拟和量子模拟的计算复杂性。结果表明,量子模拟在核子数的函数上具有更好的扩展性,因此在大型原子核上会有更好的表现。
{"title":"Toward nuclear physics from lattice QCD on quantum computers","authors":"Arata Yamamoto, Takumi Doi","doi":"10.1093/ptep/ptae019","DOIUrl":"https://doi.org/10.1093/ptep/ptae019","url":null,"abstract":"One of the ultimate missions of lattice QCD is to simulate atomic nuclei from the first principle of the strong interaction. This is an extremely hard task for the current computational technology, but might be reachable in coming quantum computing era. In this paper, we discuss the computational complexities of classical and quantum simulations of lattice QCD. It is shown that the quantum simulation scales better as a function of a nucleon number and thus will outperform for large nuclei.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"26 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139769274","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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Progress of Theoretical and Experimental Physics
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