Nuclear Physics B最新文献

英文中文

On factorization hierarchy of equations for banana Feynman integrals 论香蕉费曼积分方程的因式分解层次结构

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-11-19 DOI: 10.1016/j.nuclphysb.2024.116746

V. Mishnyakov , A. Morozov , M. Reva

We present a review of the relations between various equations for maximal cut banana Feynman diagrams, i.e. integrals with propagators substituted with δ-functions. We consider both equal and generic masses. There are three types of equation to consider: those in coordinate space, their Fourier transform and Picard-Fuchs equations originating from the parametric representation. First we review the properties of the corresponding differential operators themselves, mainly their factorization properties at the equal mass locus and their form at special values of the dimension. Then we study the relation between the Fourier transform of the coordinate space equations and the Picard-Fuchs equations and show that they are related by factorization as well. The equations in question are the counterparts of the Virasoro constraints in the much-better studied theory of eigenvalue matrix models and are the first step towards building a full-fledged theory of Feynman integrals, which will reveal their hidden integrable structure.

我们回顾了最大切割香蕉费曼图的各种方程之间的关系，即用 δ 函数替代传播者的积分。我们同时考虑等质量和一般质量。我们要考虑三类方程：坐标空间中的方程、它们的傅立叶变换以及源于参数表示的皮卡尔-富克斯方程。首先，我们回顾一下相应微分算子本身的性质，主要是它们在等质量位置上的因式分解性质，以及它们在特殊维值下的形式。然后，我们研究坐标空间方程的傅里叶变换与皮卡-富克斯方程之间的关系，并证明它们之间也存在因式分解关系。这些方程是维拉索罗约束条件在特征值矩阵模型理论中的对应物，也是建立完整的费曼积分理论的第一步，它将揭示费曼积分隐藏的可积分结构。

引用次数: 0

A note on the large-c conformal block asymptotics and α-heavy operators 关于大 C 保角块渐近和 α 重算子的说明

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-11-17 DOI: 10.1016/j.nuclphysb.2024.116741

Konstantin Alkalaev , Pavel Litvinov

We consider α-heavy conformal operators in CFT₂ which dimensions grow as

h = O (c^{α})

with α being non-negative rational number and conjecture that the large-c asymptotics of the respective 4-point Virasoro conformal block is exponentiated similar to the standard case of

α = 1

. It is shown that the leading exponent is given by a Puiseux polynomial which is a linear combination of power functions in the central charge with fractional powers decreasing from α to 0 according to some pattern. Our analysis is limited by considering the first six explicit coefficients of the Virasoro block function in the coordinate. For simplicity, external primary operators are chosen to be of equal conformal dimensions that, therefore, includes the case of the vacuum conformal block. The consideration is also extended to the 4-point

W_{3}

conformal block of four semi-degenerate operators, in which case the exponentiation hypothesis works the same way. Here, only the first three block coefficients can be treated analytically.

我们考虑了 CFT2 中的 α 重共形算子，其维度增长为 h=O(cα)，其中 α 为非负有理数。我们猜想，与 α=1 的标准情况类似，各自的 4 点 Virasoro 共形块的大 C 渐近线是指数化的。结果表明，前导指数由普伊塞多项式给出，而普伊塞多项式是中心电荷幂函数的线性组合，其分数幂从 α 到 0 按某种规律递减。我们的分析仅限于考虑坐标中维拉索罗分块函数的前六个显式系数。为简单起见，外部主算子被选择为等保角维度，因此包括真空保角块的情况。我们也可以把考虑范围扩展到由四个半退化算子组成的 4 点 W3 共形块，在这种情况下，指数化假设也以同样的方式起作用。在这里，只有前三块系数可以进行分析处理。

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引用次数: 0

Factorization of rational six vertex model partition functions 有理六顶点模型分区函数的因式分解

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-11-17 DOI: 10.1016/j.nuclphysb.2024.116743

Kohei Motegi

We show factorization formulas for a class of partition functions of rational six vertex model. First we show factorization formulas for partition functions under triangular boundary. Further, by combining the factorization formulas with the explicit forms of the generalized domain wall boundary partition functions by Belliard-Pimenta-Slavnov, we derive factorization formulas for partition functions under trapezoid boundary which can be viewed as a generalization of triangular boundary. We also discuss an application to emptiness formation probabilities under trapezoid boundary which admit determinant representations.

我们展示了有理六顶点模型的一类分割函数的因式分解公式。首先，我们展示了三角形边界下分区函数的因式分解公式。此外，通过将因式分解公式与贝利亚德-皮门塔-斯拉夫诺夫（Belliard-Pimenta-Slavnov）的广义域壁边界分区函数的显式相结合，我们推导出梯形边界下分区函数的因式分解公式，梯形边界可视为三角形边界的广义化。我们还讨论了梯形边界下空虚形成概率的应用，它允许行列式表示。

引用次数: 0

Mixed single, double, and triple poles solutions for the space-time shifted nonlocal DNLS equation with nonzero boundary conditions via Riemann–Hilbert approach 通过黎曼-希尔伯特方法求解具有非零边界条件的时空偏移非局部 DNLS 方程的混合单、双和三极解

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-11-14 DOI: 10.1016/j.nuclphysb.2024.116742

Xin-Yu Liu, Rui Guo

In this paper, we investigate the space-time shifted nonlocal derivative nonlinear Schrödinger (DNLS) equation under nonzero boundary conditions using the Riemann–Hilbert (RH) approach for the first time. To begin with, in the direct scattering problem, we analyze the analyticity, symmetries, and asymptotic behaviors of the Jost eigenfunctions and scattering matrix functions. Subsequently, we examine the coexistence of N-single, N-double, and N-triple poles in the inverse scattering problem. The corresponding residue conditions, trace formulae, θ condition, and symmetry relations of the norming constants are obtained. Moreover, we derive the exact expression for the mixed single, double, and triple poles solutions with the reflectionless potentials by solving the relevant RH problem associated with the space-time shifted nonlocal DNLS equation. Furthermore, to further explore the remarkable characteristics of soliton solutions, we graphically illustrate the dynamic behaviors of several representative solutions, such as three-soliton, two-breather, and soliton-breather solutions. Finally, we analyze the effects of shift parameters through graphical simulations.

在本文中，我们首次使用黎曼-希尔伯特（RH）方法研究了非零边界条件下的时空移动非局部导数非线性薛定谔（DNLS）方程。首先，在直接散射问题中，我们分析了约斯特特征函数和散射矩阵函数的解析性、对称性和渐近行为。随后，我们研究了反向散射问题中 N 个单极、N 个双极和 N 个三极的共存性。我们得到了相应的残差条件、迹公式、θ 条件和规范常数的对称关系。此外，我们还通过求解与时空偏移非局部 DNLS 方程相关的 RH 问题，推导出了无反射势混合单、双、三极解的精确表达式。此外，为了进一步探索孤子解的显著特点，我们用图表说明了几个代表性解的动态行为，如三孤子解、双呼吸解和孤子-呼吸解。最后，我们通过图形模拟分析了位移参数的影响。

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引用次数: 0

Mathematical formalism of Joule-Thomson process for ADS-RN black hole coupled with non-linear electrodynamics field 与非线性电动力学场耦合的 ADS-RN 黑洞焦耳-汤姆逊过程的数学形式主义

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-11-14 DOI: 10.1016/j.nuclphysb.2024.116735

R.H. Ali , G. Abbas , Abdul Jawad , Badr S. Alkahtani , G. Mustafa

We analyze the thermodynamic potentials and Joule-Thomson adiabatic expansion of a nonlinear electrodynamics charged AdS black hole. The negative cosmological constant is designated as thermodynamic pressure, while the geometrical mass is regarded as the enthalpy. In this study, we demonstrate the analogy between thermodynamic phase transitions in our considered black hole and Reissner-Nordstrom black hole systems, as well as discuss the influence of coupling parameters. The study confirmed the validity of the first law of black hole thermodynamics and the Smarr relation. We have established the Joule-Thomson thermodynamic coefficient and inversion temperature to conduct an analysis of Joule-Thomson adiabatic expansion. Also, the impact of charge parameters and nonlinear electrodynamic parameters on inversion curves have been investigated in detail. The isenthalpic and inversion curves are depicted to determine the cooling and heating regions, explicitly.

我们分析了非线性电动力学带电 AdS 黑洞的热力学势和焦耳-汤姆森绝热膨胀。负宇宙常数被指定为热力学压力，而几何质量则被视为焓。在这项研究中，我们证明了所考虑的黑洞与 Reissner-Nordstrom 黑洞系统中热力学相变的类比性，并讨论了耦合参数的影响。研究证实了黑洞热力学第一定律和斯马尔关系的有效性。我们建立了焦耳-汤姆逊热力学系数和反转温度，对焦耳-汤姆逊绝热膨胀进行了分析。此外，我们还详细研究了电荷参数和非线性电动力学参数对反转曲线的影响。通过描绘等温线和反转曲线，可以明确地确定冷却区和加热区。

引用次数: 0

Measuring solar neutrino fluxes in direct detection experiments in the presence of light mediators 在存在光介质的直接探测实验中测量太阳中微子通量

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-11-12 DOI: 10.1016/j.nuclphysb.2024.116738

Shuo-yu Xia

The potential of the dark matter direct detection experiments to provide independent measurements on solar neutrino fluxes in the Standard Model and in the presence of the light mediators is studied in this work. We also present the sensitivity of direct detection experiments on light mediators with solar neutrinos. We find that the sensitivities on ⁸B and pp neutrino fluxes can reach

\pm 10 %

with improved backgrounds and systematic uncertainties and they can be further pushed to

\pm 3 %

with a increased exposure. The constraints on light mediators can reach

O (10^{- 6})

for the masses of scalar and vector mediators below 10 MeV. However, the presence of scalar or vector mediators could lead to shifts in the best fit value of ⁸B fluxes, which will increase the challenges in the precise measurements of solar neutrino fluxes with direct detection experiments.

这项工作研究了暗物质直接探测实验在标准模型和轻介质存在的情况下对太阳中微子通量提供独立测量的潜力。我们还介绍了太阳中微子轻介质直接探测实验的灵敏度。我们发现，随着背景和系统不确定性的改善，8B 中微子和 pp 中微子通量的灵敏度可以达到 ±10%，而随着暴露量的增加，灵敏度可以进一步提高到 ±3%。当标量和矢量介质的质量低于 10 MeV 时，对轻介质的约束可以达到 O(10-6)。然而，标量或矢量介质的存在可能导致 8B 通量最佳拟合值的偏移，这将增加直接探测实验精确测量太阳中微子通量的挑战。

引用次数: 0

Generalized uncertainty principle theories and their classical interpretation 广义不确定性原理理论及其经典解释

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-11-12 DOI: 10.1016/j.nuclphysb.2024.116739

Matteo Bruno , Sebastiano Segreto , Giovanni Montani

In this work, we show that it is possible to define a classical system associated with a Generalized Uncertainty Principle (GUP) theory via the implementation of a consistent symplectic structure. This provides a solid framework for the classical Hamiltonian formulation of such theories and the study of the dynamics of physical systems in the corresponding deformed phase space.

By further characterizing the functions that govern non-commutativity in the configuration space using the algebra of angular momentum, we determine a general form for the rotation generator in these theories and crucially, we show that, under these conditions, unlike what has been previously found in the literature at the quantum level, this requirement does not lead to the superselection of GUP models at the classical level.

Finally, we postulate that a properly defined GUP theory can be correctly interpreted classically if and only if the corresponding quantum commutators satisfy the Jacobi identities, identifying those quantization prescriptions for which this holds true.

在这项研究中，我们证明了可以通过实现一致的交映结构来定义与广义不确定性原理（GUP）理论相关的经典系统。通过使用角动量代数进一步描述支配构型空间非互易性的函数，我们确定了这些理论中旋转发生器的一般形式。关键的是，我们证明了在这些条件下，与之前在量子层面的文献中发现的不同，这一要求不会导致经典层面的 GUP 模型超选。最后，我们假设，如果且只有当相应的量子换元满足雅可比等式时，一个定义明确的 GUP 理论才能被正确地经典解释，并确定了那些量子化处方。

引用次数: 0

Oscillations of ultralight dark photon into gravitational waves 超轻暗光子振荡成引力波

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-11-12 DOI: 10.1016/j.nuclphysb.2024.116740

Wei Chao , Jing-jing Feng , Huai-ke Guo , Tong Li

The discovery of gravitational waves (GWs) opens a new window for exploring the physics of the early universe. Identifying the source of GWs and their spectra at present turns out to be important tasks so as to assist the experimental detection of stochastic GW signal. In this paper, we investigate oscillations of the ultralight dark photon (ULDP) into GWs in the dark halo. Assuming dark matter is composed of the ULDP and there are primordial dark magnetic fields (PDMFs) arising from the axion inflation and/or the dark phase transition, then the ULDP can oscillate into the GW when it passes through an environment of PDMFs. We derive the local energy density of GWs in the galaxy cluster induced by the instaneous oscillation of ULDP in the PDMFs. These stochastic local GWs exhibit a pulse-like spectrum, with frequency depending on the mass of the ULDP, and can be detected in Pulsar Timing Arrays (PTAs) or future space-based interferometers. We also find that the low-frequency GW signal observed by the NANOGrav collaboration and other PTA experiments can be addressed by the oscillation of the ULDP in the PDMFs in the early universe.

引力波（GWs）的发现为探索早期宇宙物理打开了一扇新窗口。目前，确定引力波的源头及其频谱是协助实验探测随机引力波信号的重要任务。在本文中，我们研究了超轻暗光子（ULDP）进入暗晕中的全球变暖的振荡。假设暗物质由超轻暗光子组成，并且存在由轴子膨胀和/或暗相变产生的原始暗磁场（PDMFs），那么当超轻暗光子通过PDMFs环境时，就会振荡进入GW。我们推导出了ULDP在PDMF中的瞬时振荡所诱发的星系团中GW的局域能量密度。这些随机的本地全球升温表现出类似脉冲的频谱，其频率取决于ULDP的质量，可以在脉冲星定时阵列（PTA）或未来的天基干涉仪中探测到。我们还发现，NANOGrav 合作和其他 PTA 实验观测到的低频全球变暖信号，可以通过早期宇宙中 PDMF 中的超低密度粒子振荡来解决。

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引用次数: 0

Constraints, conserved charges and extended BRST algebra for a 3D field-theoretic example for Hodge theory 霍奇理论三维场论实例的约束、守恒电荷和扩展 BRST 代数

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-11-08 DOI: 10.1016/j.nuclphysb.2024.116736

Bhagya. R , Harsha Sreekumar , E. Harikumar , R.P. Malik

We perform the constraint analysis of a three (2 + 1)-dimensional (3D) field-theoretic example for Hodge theory (i) at the classical level within the ambit of Lagrangian formulation, and (ii) at the quantum level within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism. We derive the conserved charges corresponding to the six continuous symmetries of our present theory. These six continuous summery transformations are the nilpotent (anti-)BRST and (anti-)co-BRST symmetries, a unique bosonic symmetry and the ghost-scale symmetry. It turns out that the Noether conserved (anti-)BRST charges are found to be non-nilpotent even though they are derived from the off-shell nilpotent versions of the continuous and infinitesimal (anti-)BRST symmetry transformations. We obtain the nilpotent versions of the (anti-)BRST charges from the non-nilpotent Noether (anti-)BRST charges and discuss the physicality criteria w.r.t. the latter to demonstrate that the operator forms of the first-class constraints (of the classical gauge theory) annihilate the physical states at the quantum level. This observation is consistent with Dirac's quantization conditions for the systems that are endowed with the constraints. We lay emphasis on the existence of a single (anti-)BRST invariant Curci-Ferrari (CF) type restriction in our theory and derive it from various theoretical angles.

我们对霍奇理论的三（2 + 1）维（3D）场论示例进行了约束分析：（i）在拉格朗日公式范围内的经典层面；（ii）在贝齐-鲁瓦-斯托拉-秋廷（BRST）形式主义框架内的量子层面。我们推导出与当前理论的六个连续对称性相对应的守恒电荷。这六个连续夏季变换是零势（反）BRST 对称和（反）共 BRST 对称、唯一玻色对称和幽灵尺度对称。结果发现，尽管诺特守恒（反）BRST 电荷是从连续和无穷小（反）BRST 对称变换的离壳零电荷版本导出的，但它们是非零电荷。我们从非零能的诺特（反）BRST 电荷中得到了（反）BRST 电荷的零能版本，并讨论了与后者相关的物理性标准，从而证明（经典规规理论的）一流约束的算子形式在量子水平上湮灭了物理状态。这一观察结果与狄拉克关于具有约束条件的系统的量子化条件是一致的。我们强调在我们的理论中存在一个单一的（反）BRST不变的库尔齐-费拉里（CF）型约束，并从不同的理论角度对其进行了推导。

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Steven Weinberg remembrances 史蒂文-温伯格回忆录

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B

Pub Date : 2024-11-08 DOI: 10.1016/j.nuclphysb.2024.116737

Carlos R. Ordóñez

I am gladly sharing a few anecdotes of my interactions with Steven Weinberg during many years, from my student days to more recent times.

我很高兴与大家分享我与史蒂文-温伯格多年交往的一些轶事，从我的学生时代到最近。

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