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Dilatons improve (non)-Goldstones 膨胀改善(非)-金石
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-06 DOI: 10.1016/j.nuclphysb.2025.117292
Roman Zwicky
Shift symmetry forbids conformal coupling of Goldstone bosons from internal symmetries, but not for spontaneously broken conformal symmetry. Its Goldstone boson, the dilaton D, requires the improvement term LRRe2D/FD to realise the Goldstone matrix element in the effective theory. The dilaton can be used for Weyl-gauging and conformally couple to particles of any Weyl-weight. While improvement does not affect scattering amplitudes in flat space, it impacts gravitational form factors decisively, giving rise to the dilaton pole in the spin-zero channel. We compute leading-order scalar, fermion, pion and dilaton form factors, including the treatment soft breaking by a relevant perturbation. We show that a pion low-energy theorem enforces the operator driving spontaneous chiral symmetry breaking to be of scaling dimension Δ=d2 at the fixed point.
移位对称禁止戈德斯通玻色子与内部对称的共形耦合,但不禁止自发破缺的共形对称。它的Goldstone玻色子,即膨胀子D,需要改进项LR∝Re−2D/FD来实现有效理论中的Goldstone矩阵元。膨胀可用于韦尔测量和保形耦合到任何韦尔质量的粒子。虽然改进不会影响平坦空间中的散射振幅,但它会决定性地影响引力形状因子,从而产生自旋零通道中的膨胀极。我们计算了阶标量、费米子、介子和膨胀形式因子,包括相关扰动对软破缺的处理。我们证明了一个介子低能定理使得驱动自发手性对称性破缺的算子在不动点处具有Δ=d−2的尺度维。
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引用次数: 0
Impact of space-time curvature coupling on the vacuum energy induced by a magnetic topological defect in flat space-time of arbitrary dimension 时空曲率耦合对任意维平坦时空中磁性拓扑缺陷诱导的真空能的影响
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-05 DOI: 10.1016/j.nuclphysb.2026.117296
V.M. Gorkavenko , O.V. Barabash , I.V. Ivanchenko , P.O. Nakaznyi , M.S. Tsarenkova , N.S. Yakovenko , A.O. Zaporozhchenko
We have investigated vacuum polarization of a quantized charged massive scalar field in the presence of a magnetic topological defect, modeled as an impenetrable tube of finite thickness carrying magnetic flux. At the tube’s surface, we imposed a general Robin boundary condition. Our analysis demonstrates that, in flat space-time, the total induced vacuum energy is independent of the coupling ξ of the scalar field’s interaction with the space-time curvature only in the special cases of Dirichlet and Neumann boundary conditions. For general Robin boundary conditions, however, the total induced vacuum energy depends on the coupling ξ in a flat space-time and exhibits a nontrivial dependence on the parameter of the Robin boundary condition. We investigated the dependence of this effect not only on Robin’s boundary condition parameter, but also on the tube thickness and the space-time dimensionality. We conclude that careful measurements of vacuum polarization effects in flat space-time may, in principle, provide an independent way to probe the ξ coupling.
我们研究了存在磁性拓扑缺陷的量子化带电大质量标量场的真空极化,模型为具有有限厚度的带磁通量的不可穿透管。在管的表面,我们施加了一个一般的Robin边界条件。我们的分析表明,在平坦时空中,仅在Dirichlet和Neumann边界条件的特殊情况下,总诱导真空能与标量场与时空曲率相互作用的耦合ξ无关。然而,对于一般的Robin边界条件,总的诱导真空能取决于平坦时空中的耦合ξ,并与Robin边界条件的参数有非平凡的依赖关系。我们研究了这种效应不仅与Robin边界条件参数有关,还与管材厚度和时空维度有关。我们得出结论,在平坦时空中仔细测量真空极化效应,原则上可以提供一种独立的方法来探测ξ耦合。
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引用次数: 0
Stability and physical properties of compact stars beyond Einstein gravity 爱因斯坦引力之外致密恒星的稳定性和物理特性
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-05 DOI: 10.1016/j.nuclphysb.2026.117295
Muhammad Sharif , Adeeba Arooj
This manuscript discusses feasible features of anisotropic celestial sphere within the framework of f(Q,Lm) gravity, where Q represents non-metricity scalar and Lm is the matter Lagrangian. The geometric configuration of static spherical symmetric structure is examined using a specific non-singular solution (Krori-Barua solution). A particular model of this theory is considered to derive explicit field equations. The Darmois matching conditions are used to evaluate unknown constants in the metric coefficients. To verify plausible existence of compact objects in this gravitational framework, we analyze their fundamental physical properties including fluid parameters, gradients, surface redshift, mass-radius relation, anisotropy measure, compactness factor, energy conditions and equations of state. The stability of the considered stellar objects is verified by adiabatic index and sound speed. Our results demonstrate that all required physical conditions are satisfied, confirming the existence of physically stable anisotropic celestial objects within this modified gravity.
本文讨论了f(Q,Lm)引力框架下各向异性天球的可行特征,其中Q为非度规标量,Lm为物质拉格朗日量。采用特定的非奇异解(Krori-Barua解)研究了静力球对称结构的几何构型。考虑该理论的一个特殊模型来推导显式场方程。利用达尔莫匹配条件求度规系数中的未知常数。为了验证在这个引力框架下致密天体的存在,我们分析了它们的基本物理性质,包括流体参数、梯度、表面红移、质量半径关系、各向异性测量、致密系数、能量条件和状态方程。所考虑的恒星物体的稳定性由绝热指数和声速来验证。我们的结果表明,所有必需的物理条件都得到满足,证实了在这个修正重力下存在物理稳定的各向异性天体。
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引用次数: 0
Unitary equivalence in generalized uncertainty principle theories 广义测不准原理理论中的酉等价
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-03 DOI: 10.1016/j.nuclphysb.2026.117294
Sebastiano Segreto , Matteo Bruno
We analyze the issue of unitary equivalence within Generalized Uncertainty Principle (GUP) theories in the one-dimensional case. For a deformed Heisenberg algebra, its representation in terms of Hilbert space and conjugate operators is not uniquely determined, raising the question of whether different realizations of the same algebra are equivalent and describe the same physics. After proposing a definition of a quantum GUP theory, we establish conditions for unitary equivalence. Using this framework, we rigorously prove that two commonly used representations are unitarily equivalent, specifying the conditions under which this equivalence holds. We demonstrate this equivalence explicitly by providing a unitary map and showing how both GUP formulations yield the same physical results in two examples: the quantum harmonic oscillator and a free-falling particle. Finally, we discuss a case in which equivalence fails, suggesting that a generalization of the Stone-von Neumann theorem may not be possible within the GUP framework under our definition of unitary equivalence.
我们分析了一维情况下广义不确定性原理(GUP)理论中的幺正等价问题。对于变形的海森堡代数,其在希尔伯特空间和共轭算子方面的表示并不是唯一确定的,这就提出了相同代数的不同实现是否等价并描述相同物理的问题。在给出量子GUP理论的定义后,我们建立了幺正等价的条件。利用这个框架,我们严格地证明了两个常用的表示是一元等价的,并指明了这个等价成立的条件。我们通过提供一个酉映射,并在两个例子中展示两种GUP公式如何产生相同的物理结果,明确地证明了这种等效性:量子谐振子和自由落体粒子。最后,我们讨论了一个等价失效的情况,表明在我们的幺正等价定义下,Stone-von Neumann定理可能无法在GUP框架内推广。
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引用次数: 0
Quadratic corrections to the higher-spin equations by the differential homotopy approach 用微分同伦方法对高自旋方程的二次修正
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-02 DOI: 10.1016/j.nuclphysb.2025.117290
P.T. Kirakosiants , D.A. Valerev , M.A. Vasiliev
The recently proposed differential homotopy approach to the analysis of nonlinear higher-spin theory is developed. The Ansatz is extended to the form applicable in the second order of the perturbation theory and general star-multiplication formulae are derived. The relation of the shifted homotopy and differential homotopy formalisms is worked out. Projectively-compact spin-local quadratic (anti)holomorphic vertices in the one-form sector of higher-spin equations are obtained within the differential homotopy formalism.
本文发展了最近提出的分析非线性高自旋理论的微分同伦方法。将其推广为适用于二阶摄动理论的形式,并推导出一般的星乘公式。给出了位移同伦与微分同伦形式的关系。在微分同伦形式下,得到了高自旋方程的一形扇形上的投影紧旋局部二次(反)全纯顶点。
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引用次数: 0
Nonmetric geometry and its role in the isotropization of self-Gravitating stellar models 非度量几何及其在自引力恒星模型各向同性中的作用
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-01 DOI: 10.1016/j.nuclphysb.2025.117274
S. Khan , Sardor Murodov , Javlon Rayimbaev , Ikram Davletov , Inomjon Ibragimov , Sokhibjan Muminov
This work employs the gravitational decoupling scheme to study static, astrophysically compact fluid spheres within the linear functional framework of the nonmetricity-based gravity model. The motivation behind this theoretical study is twofold. On the one hand, we explore the potential effects of nonmetricity on the formation and physical characteristics of astrophysical stellar configurations exhibiting inhomogeneous matter density and pressure anisotropy. On the other hand, this work allows us to develop an effective scheme for continuously isotropizing anisotropic solutions to the equations of motion and constructing novel compact configurations with either preserved or vanishing gravitational complexity. For this purpose, we employ the minimal gravitational decoupling approach to construct closed-form stellar solutions in an astrophysical context. This strategy offers a mechanism to deform the radial metric function via a linear transformation, effectively splitting the system into two independent gravitational sources, whose individual solutions can then be combined to represent the complete configuration. Several illustrative examples are provided to demonstrate the applicability of the approach.
本文采用引力解耦方案,在基于非对称性的引力模型的线性函数框架内研究静态、天体物理致密流体球体。这项理论研究背后的动机是双重的。一方面,我们探索非度量性对具有非均匀物质密度和压力各向异性的天体物理恒星构型的形成和物理特征的潜在影响。另一方面,这项工作使我们能够开发出一种有效的方案,用于运动方程的连续各向同性各向异性解,并构建具有保留或消失引力复杂性的新颖紧凑构型。为此,我们采用最小引力解耦方法来构建天体物理学背景下的闭型恒星解。这种策略提供了一种通过线性变换来变形径向度量函数的机制,有效地将系统分割成两个独立的引力源,然后将其单独的解组合起来代表完整的构型。给出了几个说明性的例子来说明该方法的适用性。
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引用次数: 0
Noncritical conformal gravity and four-dimensional Liouville theory 非临界共形重力与四维刘维尔理论
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-01 DOI: 10.1016/j.nuclphysb.2025.117280
Hikaru Kawai , Nobuyoshi Ohta
We study the quantum aspects of the conformal gravity in four dimensions, specifically addressing a known discrepancy in beta functions between general quadratic curvature theories and conformal gravity, which corresponds to two scalar degrees of freedom. We demonstrate that this mismatch is resolved by carefully introducing gauge-fixing and ghost terms via the BRST symmetry, which effectively adds the two scalar modes. Drawing lessons from two-dimensional quantum gravity and Liouville theory, we proceed to integrate the four-dimensional trace anomaly to derive a consistent Liouville action, which is given by a free-field action for the conformal mode with a consistent conformal anomaly. Finally we give the condition that the BRST transformation is anomaly free.
我们研究了四维共形重力的量子方面,具体解决了一般二次曲率理论和共形重力之间已知的beta函数差异,这对应于两个标量自由度。我们证明了这种不匹配是通过BRST对称来解决的,BRST对称有效地增加了两个标量模式。借鉴二维量子引力和Liouville理论,我们对四维轨迹异常进行积分,推导出具有一致共形异常的共形模式的自由场作用所给出的一致Liouville作用。最后给出了BRST变换无异常的条件。
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引用次数: 0
Exact cosmological solutions in vacuum non-coincidence f(Q)-theory 真空非符合f(Q)理论中的精确宇宙学解
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-01 DOI: 10.1016/j.nuclphysb.2025.117262
Avik De , Andronikos Paliathanasis
We study exact cosmological solutions in f(Q) gravity formulated beyond the coincident gauge, focusing on the non-coincident connection branch ΓB. Using a minisuperspace approach, the field equations are recast into an equivalent scalar-tensor form, enabling analytic reconstruction of cosmological models. We obtain exact solutions of particular interest, including de Sitter, scaling, ΛCDM, Chaplygin gas, generalized Chaplygin gas, and CPL parameterizations. The corresponding scalar potentials and f(Q) functions are derived in closed or parametric form. Our analysis shows that non-coincident f(Q) gravity admits a richer solution space than the coincident case and can describe both early-time inflationary dynamics and late-time acceleration within a unified framework. These results open new directions for testing f(Q) cosmology against observations and exploring its role as a viable alternative to ΛCDM.
我们研究了f(Q)引力的精确宇宙学解,并将重点放在非符合连接分支ΓB上。利用微型超空间方法,将场方程转换为等价的标量张量形式,实现了宇宙学模型的解析重建。我们获得了特别感兴趣的精确解,包括de Sitter、缩放、ΛCDM、Chaplygin气体、广义Chaplygin气体和CPL参数化。相应的标量势和f(Q)函数以闭合或参数形式导出。我们的分析表明,非一致的f(Q)引力比一致的情况具有更丰富的解空间,并且可以在统一的框架内描述早期暴胀动力学和后期加速。这些结果为根据观测结果检验f(Q)宇宙学以及探索其作为ΛCDM可行替代方案的作用开辟了新的方向。
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引用次数: 0
One-loop renormalization of the type-I seesaw model in the modified minimal-subtraction scheme 一类跷跷板模型的修正最小减法单环重整化
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-01 DOI: 10.1016/j.nuclphysb.2025.117270
Jihong Huang , Shun Zhou
Extending the Standard Model (SM) with three right-handed neutrinos, the type-I seesaw model serves as the simplest and most natural scenario to successfully explain both tiny neutrino masses and the baryon number asymmetry in the Universe. In this paper, we perform a complete one-loop renormalization of the type-I seesaw model in the modified minimal-subtraction (MS) scheme. The one-loop self-energy corrections of charged leptons and Majorana neutrinos are calculated in the Rξ gauge, and the explicit expressions of all the counterterms for wave functions, fermion masses and the leptonic flavor mixing matrix are given. Furthermore, adopting the Euler-like parametrization of the 6 × 6 unitary leptonic flavor mixing matrix, we derive one-loop renormalization-group equations for all the physical parameters in the MS scheme, including neutrino masses, mixing angles and CP-violating phases. The modification of the one-loop renormalization of the original SM parameters due to the presence of heavy Majorana neutrinos is investigated as well. In this way, we provide a self-consistent theoretical framework to thoroughly test the type-I seesaw model at the one-loop level with future precision data.
用三个右手中微子扩展标准模型(SM), i型跷跷板模型作为最简单和最自然的场景,成功地解释了宇宙中微小的中微子质量和重子数的不对称性。在本文中,我们在修改的最小减法(MS)方案中对i型跷跷板模型进行了完整的单环重整化。在Rξ规下计算了带电轻子和马约拉纳中微子的单环自能修正,给出了波函数、费米子质量和轻子风味混合矩阵的所有反项的显式表达式。此外,我们采用6 × 6幺正轻子风味混合矩阵的类欧拉参数化,推导出MS形式中所有物理参数的单环重整化群方程,包括中微子质量、混合角和cp违反相。研究了重马约拉纳中微子的存在对原SM参数单环重整化的修正。通过这种方式,我们提供了一个自洽的理论框架,可以用未来的精度数据在单回路水平上彻底测试i型跷跷板模型。
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引用次数: 0
Quantum gravity corrections and plasma-induced lensing of magnetically charged black holes 磁化黑洞的量子引力修正和等离子体诱导透镜效应
IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2026-01-01 DOI: 10.1016/j.nuclphysb.2025.117285
Erdem Sucu
This work investigates the influence of quantum gravity corrections and plasma effects on a magnetically charged black hole derived from Einstein-Nonlinear Electrodynamics theory. The nonlinear electromagnetic field leads to a regular geometry that removes the curvature singularity and modifies the near-horizon structure. Using the semiclassical tunnelling approach for Dirac particles, we derived the Hawking temperature and confirmed its agreement with the standard surface gravity method. Quantum effects are examined by adopting the Generalized Uncertainty Principle, which adds a minimal length scale to the theory and changes the familiar thermodynamic relations of black holes. With this correction, the temperature, entropy, and heat capacity gain small but meaningful shifts, implying that the evaporation process might stop before the mass completely vanishes. To extend the analysis, an exponential term was introduced into the entropy expression, making it possible to explore how such contributions alter quantities like internal energy, free energy, and pressure. The results suggest that these quantum terms influence the stability of the system and can lead to transitions between different thermodynamic phases depending on the magnetic charge. The Joule-Thomson process was also studied to understand how the black hole cools or heats during an isenthalpic expansion. In the last part, the deflection of light was calculated in both vacuum and plasma surroundings using the Gauss-Bonnet theorem. It was observed that magnetic charge slightly weakens the bending, while plasma enhances it due to its refractive character. Taken together, the findings show how nonlinear electrodynamics, quantum corrections, and plasma dispersion jointly affect the behavior of magnetically charged black holes, linking microscopic corrections to their observable features.
本文研究了量子引力修正和等离子体效应对由爱因斯坦-非线性电动力学理论推导出的带磁性带电黑洞的影响。非线性电磁场导致了一个规则的几何形状,消除了曲率奇点并改变了近视界结构。利用Dirac粒子的半经典隧穿方法,我们推导出了霍金温度,并证实了它与标准表面重力方法的一致性。采用广义不确定性原理来检验量子效应,该原理在理论中增加了最小长度尺度,并改变了熟悉的黑洞热力学关系。通过这种修正,温度、熵和热容得到了微小但有意义的变化,这意味着蒸发过程可能在质量完全消失之前停止。为了扩展分析,在熵表达式中引入了指数项,从而可以探索这些贡献如何改变内能、自由能和压力等量。结果表明,这些量子项影响系统的稳定性,并可能导致不同热力学相之间的转变,这取决于磁荷。焦耳-汤姆逊过程也被研究,以了解黑洞在等焓膨胀期间是如何冷却或加热的。最后,利用高斯-博内定理计算了真空和等离子体环境下光的偏转。观察到磁荷对弯曲有轻微的减弱作用,而等离子体由于其折射特性使弯曲增强。综上所述,这些发现显示了非线性电动力学、量子修正和等离子体色散如何共同影响磁化黑洞的行为,将微观修正与它们的可观察特征联系起来。
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引用次数: 0
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Nuclear Physics B
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