高能物理 - 格点

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[1] arXiv:2510.04164 (交叉列表自 quant-ph) [中文pdf, pdf, html, 其他]

标题： 克利福德电路增强的格雷姆矩阵乘积态 显示英文标题

标题： Clifford Circuits Augmented Grassmann Matrix Product States

Atis Yosprakob, Wei-Lin Tu, Tsuyoshi Okubo, Kouichi Okunishi, Donghoon Kim

评论： 6页，4图

主题： 量子物理 (quant-ph) ; 统计力学 (cond-mat.stat-mech) ; 强关联电子 (cond-mat.str-el) ; 高能物理 - 格点 (hep-lat)

最近将Clifford电路与张量网络(TN)态结合的进展表明，经典可模拟的解纠缠器可以显著减少纠缠，缓解TN模拟中的键维数瓶颈。 在本工作中，我们开发了一个基于Grassmann张量网络的变分TN框架，该框架原生地编码了费米统计特性同时保持了局域性。 通过在费米形式主义中引入局部定义的Clifford电路，我们模拟了包括紧束缚和$t$-$V$模型在内的基准模型。 我们的结果表明，Clifford解纠缠移除了纠缠的经典可模拟部分，导致键维数减少，并提高了基态能量估计的准确性。 有趣的是，在Clifford电路上施加自然的Grassmann偶性约束显著减少了解纠缠门的数量，从720个减少到仅32个，从而实现了更高效的实现。 这些发现突显了Clifford增强的Grassmann TN在研究强关联费米系统中的潜力，尤其是在高维情况下。 显示英文摘要

Recent advances in combining Clifford circuits with tensor network (TN) states have shown that classically simulable disentanglers can significantly reduce entanglement, mitigating the bond-dimension bottleneck in TN simulations. In this work, we develop a variational TN framework based on Grassmann tensor networks, which natively encode fermionic statistics while preserving locality. By incorporating locally defined Clifford circuits within the fermionic formalism, we simulate benchmark models including the tight-binding and $t$-$V$ models. Our results show that Clifford disentangling removes the classically simulable component of entanglement, leading to a reduced bond dimension and improved accuracy in ground-state energy estimates. Interestingly, imposing the natural Grassmann-evenness constraint on the Clifford circuits significantly reduces the number of disentangling gates, from 720 to just 32, yielding a far more efficient implementation. These findings highlight the potential of Clifford-augmented Grassmann TNs as a scalable and accurate tool for studying strongly correlated fermionic systems, particularly in higher dimensions.

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[2] arXiv:2509.24778 (替换) [中文pdf, pdf, html, 其他]

标题： 用于最大同位旋的$Nππ$的有限体积形式 显示英文标题

标题： Finite-volume formalism for $Nππ$ at maximal isospin

Maxwell T. Hansen, Fernando Romero-López, Stephen R. Sharpe

评论： 55页，8图，3表。v2：修正了附属机构中的错误并更新了致谢部分

主题： 高能物理 - 格点 (hep-lat) ; 高能物理 - 现象学 (hep-ph) ; 核理论 (nucl-th)

我们将相对论场论的有限体积形式主义扩展到最大同位旋的$N \pi \pi$散射态，$I=5/2$。 如同之前使用相对论场论方法的工作一样，我们考虑一个通用低能有效理论的所有阶次，并确定将有限体积能量与中间 K 矩阵相关联的量化条件，以及将后者与物理散射振幅联系起来的积分方程。 我们讨论了 K 矩阵的参数化，并详细解释了由于核子自旋与非简并粒子的使用相结合而出现的新特性。 作为一个具体例子，我们提供了一个数值应用示例，包括$\Delta$模式在$N\pi$子通道中的共振。 扩展到$I=3/2$和$1/2$通道更为复杂，这是由于与$N\pi$状态的混合，我们不为这些情况提供完整的形式主义。 我们解释为什么不能将$N\pi$状态包括在内，这是通过将核子视为$p$波$N\pi$散射中的极点来处理的，这种方法在使用三粒子$DD\pi$公式研究$D D^*$散射时已取得成功。 我们还提供了在假设没有两到三混合情况下的所有同位旋结果，从而为后续论文中全面处理所有$N\pi\pi \leftrightarrow N\pi$系统奠定了基础。 最后，我们研究了来自$N\pi\pi\pi$中间态的$N\pi\pi$幅度中的奇点，并发现我们的亚阈值截断函数必须进行修改以避免这些奇点。 显示英文摘要

We extend the relativistic field theoretic finite-volume formalism to $N \pi \pi$ scattering states at maximal isospin, $I=5/2$. As in previous work using the relativistic field theory approach, we work to all orders in a generic low-energy effective theory, and determine the quantization condition that relates finite-volume energies to intermediate K matrices, and the integral equations connecting the latter to the physical scattering amplitudes. We discuss the parametrization of the K matrices, and explain in detail the new features that arise in implementing the quantization condition due to the spin of the nucleon in combination with the use of non-degenerate particles. As a concrete example, we provide a sample numerical application including the $\Delta$ resonance in the $N\pi$ subchannel. The extension to the $I=3/2$ and $1/2$ channels is more involved, due to mixing with $N\pi$ states, and we do not provide a complete formalism for these cases. We explain why $N\pi$ states cannot be included by treating the nucleon as a pole in $p$-wave $N\pi$ scattering, an approach that has been successful in studying $D D^*$ scattering using the three-particle $DD\pi$ formalism. We additionally provide results for all isospins under the assumption of no two-to-three mixing, thereby laying the groundwork for a follow-up paper in which all $N\pi\pi \leftrightarrow N\pi$ systems are fully treated. Finally, we study the singularities in $N\pi\pi$ amplitudes arising from $N\pi\pi\pi$ intermediate states, and find that our subthreshold cutoff functions must be modified to avoid such singularities.

[3] arXiv:2509.25865 (替换) [中文pdf, pdf, html, 其他]

标题： 微扰理论，不可约表示截断以及量子模拟SU(3)格点规范理论的状态制备方法 显示英文标题

标题： Perturbation theory, irrep truncations, and state preparation methods for quantum simulations of SU(3) lattice gauge theory

Praveen Balaji, Cianan Conefrey-Shinozaki, Patrick Draper, Jason K. Elhaderi, Drishti Gupta, Luis Hidalgo, Andrew Lytle

评论： 40页。v2：更新了参考文献。SU(3)电路生成包 ymcirc 可从 https://github.com/hepqis-uiuc/ymcirc 获取，SU(N) Clebsch-Gordan 包可从 https://github.com/hepqis-uiuc/pyclebsch 获取。附带的附加文件中包含演示 ymcirc 工作流的 Jupyter笔记本。

主题： 高能物理 - 格点 (hep-lat) ; 高能物理 - 现象学 (hep-ph) ; 量子物理 (quant-ph)

我们研究在量子硬件上高效制备$SU(3)$规范理论近似基态的方法。 在电基的一种变体中，我们引入了一种基于位点单态能量密度的不可约表示截断改进方法，该方法提供了更细致的模拟复杂度分级。 利用强耦合微扰理论作为指导，我们开发了用于基态制备的简单参数电路，并通过在小晶格上的经典模拟进行测试，包括$2\times 2$平面晶格在$d=2$和立方体在$d=3$。 我们将变分方法的状态保真度和资源需求与绝热态制备进行对比，并介绍了一种结合这两种方法的混合方法。 最后，我们报告\texttt{ymcirc}的公开发布——一个用于构建$SU(3)$电路和处理测量的工具包——以及\texttt{pyclebsch}，一个用于高效计算$SU(N)$Clebsch-Gordan 系数的工具包。 显示英文摘要

We study methods for efficient preparation of approximate ground states of $SU(3)$ lattice gauge theory on quantum hardware. Working in a variant of the electric basis, we introduce a refinement of the irrep truncation based on the energy density of site singlets, which provides a finer gradation of simulation complexity. Using strong-coupling perturbation theory as a guide, we develop simple ansatz circuits for ground state preparation and test them via classical simulation on small lattices, including the $2\times 2$ plaquette lattice in $d=2$ and the cube in $d=3$. We contrast state fidelities and resource requirements of variational methods against adiabatic state preparation and introduce a method that hybridizes the two approaches. Finally, we report on the public release of \texttt{ymcirc} -- a package of tools for building $SU(3)$ circuits and processing measurements -- and \texttt{pyclebsch}, a package for efficiently computing $SU(N)$ Clebsch-Gordan coefficients.

[4] arXiv:2505.24376 (替换) [中文pdf, pdf, html, 其他]

标题： QCD求和规则对激发轻介子算符的研究 显示英文标题

标题： QCD sum rule study on excited light meson operators

Wei-Han Tan, Wen-Ying Liu, Hong-Zhou Xi, Hua-Xing Chen

评论： 14页，4图，1表，修订版

主题： 高能物理 - 现象学 (hep-ph) ; 高能物理 - 格点 (hep-lat)

我们应用QCD求和法则方法系统地研究激发轻介子算符并计算它们的衰变常数。 这些算符是通过显式地向夸克-反夸克对中添加一个协变导数来构建的。 总共构建了十二个这样的算符，其中十个进行了详细的数值分析。 所考虑的夸克内容包括$\bar{q}q$， $\bar{q}s$和$\bar{s}s$ ($q = u/d$)，允许形成各种 $SU(3)$重味非单态。 例如，我们的结果支持这样的解释，即$a_2(1320)$、$f_2(1270)$、$f_2^\prime(1525)$和$K_2^*(1430)$构成一个味九重态，其量子数为$J^{P(C)} = 2^{+(+)}$。 此外，我们预测了几种激发的介子态，其质量和衰变常数是使用QCD求和规则方法确定的。 显示英文摘要

We apply the QCD sum rule method to systematically study excited light meson operators and calculate their decay constants. These operators are constructed by explicitly adding one covariant derivative to the quark-antiquark pair. In total, twelve such operators are constructed, among which ten are subjected to detailed numerical analyses. The considered quark contents include $\bar{q}q$, $\bar{q}s$, and $\bar{s}s$ ($q = u/d$), allowing the formation of various $SU(3)$ flavor nonets. For instance, our results support the interpretation that the $a_2(1320)$, $f_2(1270)$, $f_2^\prime(1525)$, and $K_2^*(1430)$ constitute a flavor nonet with quantum numbers $J^{P(C)} = 2^{+(+)}$. In addition, we predict several excited meson states, whose masses and decay constants are determined using the QCD sum rule method.

[5] arXiv:2506.18334 (替换) [中文pdf, pdf, html, 其他]

标题： 有限温度下假真空衰变的数值模拟 显示英文标题

标题： Numerical simulation of the false vacuum decay at finite temperature

Haiyang Wang, Renhui Qin, Ligong Bian

评论： 6到8页，11幅图，欢迎提出意见！

主题： 高能物理 - 理论 (hep-th) ; 宇宙学与非星系天体物理学 (astro-ph.CO) ; 高能物理 - 格点 (hep-lat) ; 高能物理 - 现象学 (hep-ph) ; 量子物理 (quant-ph)

假真空衰变率在理解宇宙方面具有重要意义，例如早期宇宙中的对称性破缺过程和我们宇宙的年龄，这通常在场论中通过鞍点近似进行计算。 利用量子场论中Wigner函数的扩展，我们通过路径积分数值计算假真空的衰变率。 我们研究了热涨落情景下的衰变率及其与势能形状的关系，发现假真空衰变遵循指数衰减率，当系统初始能量减少和势能高度增加时，真空衰变速度会降低。 观察到模拟结果与有限温度有效场论的理论预测之间存在差异。 显示英文摘要

The false vacuum decay rate is of important meaning in understanding the Universe, such as the symmetry breaking process in the early universe and the age of our universe, which is conventionally calculated with the saddle-point approximation in the field theory. Utilizing the extension of the Wigner function in quantum field theory, we numerically calculate the decay rate of the false vacuum through path integral. We study the decay rate for the thermal fluctuation scenarios and its dependence on the potential shape, and found that the false vacuum decay occurs following an exponentially decay rate, and the speed of vacuum decay decreases when the initial energy of the system decreases and the potential height increase. The discrepancy between the simulation results and the theoretical prediction of finite temperature effective field theory is observed.