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Noether symmetry analysis in scalar tensor cosmology: a study of classical and quantum cosmology 标量张量宇宙学中的诺特对称分析:经典宇宙学与量子宇宙学的研究
IF 4.4 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2023-08-07 DOI: 10.1140/epjc/s10052-023-11875-3
Dipankar Laya, Roshni Bhaumik, Subenoy Chakraborty

The present work deals with a complex scalar field in scalar tensor gravity theory in the background of spatially flat Friedmann–Lema({hat{i}})tre–Robertson–Walker (FLRW) geometry. Noether symmetry analysis has been used to determine the classical cosmological solution of a scalar field in scalar–tensor theory with the scalar field as a nonminimally coupled complex field. Noether symmetry analysis is not only used to find a symmetry vector and potential but also it helps in finding an appropriate transformation ((a,~phi ,~theta )rightarrow (u,~v,~theta )) in the augmented space so that one of the new variables becomes cyclic. In quantum cosmology, the Wheeler–DeWitt (WD) equation has been formed in the minisuperspace and its solution i.e. the wave function of the universe has been evaluated by using the operator version of the conserved (Noether) charge. Finally, the nature of the classical solution has been discussed from the observational point of view and the cosmological singularity has been examined both classically and quantum mechanically.

本文在空间平坦的friedman - lema ({hat{i}})三-罗伯逊-沃克(FLRW)几何背景下,研究了标量张量引力理论中的复标量场。在标量-张量理论中,将标量场作为非最小耦合复场,利用诺特对称分析确定了标量场的经典宇宙学解。诺特对称分析不仅用于寻找对称向量和势,而且还有助于在增广空间中找到合适的变换((a,~phi ,~theta )rightarrow (u,~v,~theta )),从而使其中一个新变量变为循环。在量子宇宙学中,我们在超小空间中建立了惠勒-德维特(WD)方程,并利用守恒(诺特)电荷的算符版本计算了它的解,即宇宙的波函数。最后,从观测的角度讨论了经典解的性质,并对宇宙奇点进行了经典和量子力学的检验。
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引用次数: 0
Charged strange star coupled to anisotropic dark energy in Tolman–Kuchowicz spacetime 托尔曼-库乔维兹时空中与各向异性暗能量耦合的带电奇异恒星
IF 4.4 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2023-08-07 DOI: 10.1140/epjc/s10052-023-11880-6
Pramit Rej, Akashdip Karmakar

The concept of dark energy can be used as a possible option to prevent the gravitational collapse of compact objects into singularities. It affects the universe on the largest scale, as it is responsible for our universe’s accelerated expansion. As a consequence, it seems possible that dark energy will interact with any compact astrophysical stellar object [Phys. Rev. D 103, 084042 (2021)]. In this work, our prime focus is to develop a simplified model of a charged strange star coupled to anisotropic dark energy in Tolman–Kuchowicz spacetime (Tolman in Phys Rev 55:364, 1939; Kuchowicz in Acta Phys Pol 33:541, 1968) within the context of general relativity. To develop our model, here we consider a particular strange star object, Her X-1 with observed values of mass (=(0.85 pm 0.15)M_{odot }) and radius (= 8.1_{-0.41}^{+0.41}) km. respectively. In this context, we initially started with the equation of state (EoS) to model the dark energy, in which the dark energy density is proportional to the isotropic perfect fluid matter-energy density. The unknown constants present in the metric have been calculated by using the Darmois–Israel condition. We perform an in-depth analysis of the stability and force equilibrium of our proposed stellar configuration as well as multiple physical attributes of the model such as metric function, pressure, density, mass–radius relation, and dark energy parameters by varying dark energy coupling parameter (alpha ). Thus after a thorough theoretical analysis, we found that our proposed model is free from any singularity and also satisfies all stability criteria to be a stable and physically realistic stellar model.

暗能量的概念可以作为一种可能的选择来防止致密物体的引力坍缩成奇点。它在最大的尺度上影响着宇宙,因为它是我们宇宙加速膨胀的原因。因此,暗能量似乎有可能与任何紧凑的天体物理恒星物体相互作用。Rev. D 103, 084042(2021)]。在这项工作中,我们的主要重点是在Tolman - kuchowicz时空中建立一个带电奇异星与各向异性暗能量耦合的简化模型(Tolman In Phys Rev 55:364, 1939;Kuchowicz在《物理学报》(vol . 33:541, 1968)中,在广义相对论的背景下。为了发展我们的模型,这里我们考虑一个特殊的奇怪的恒星物体,Her X-1,其观测值为质量(=(0.85 pm 0.15)M_{odot })和半径(= 8.1_{-0.41}^{+0.41}) km。分别。在这种情况下,我们最初从状态方程(EoS)开始建模暗能量,其中暗能量密度与各向同性完美流体物质能量密度成正比。利用达莫伊斯-伊斯雷尔条件计算了度规中存在的未知常数。我们通过改变暗能量耦合参数(alpha ),深入分析了我们提出的恒星结构的稳定性和力平衡,以及模型的多个物理属性,如度量函数、压力、密度、质量半径关系和暗能量参数。因此,经过彻底的理论分析,我们发现我们提出的模型不存在任何奇点,并且满足所有稳定性标准,成为一个稳定的、物理上真实的恒星模型。
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引用次数: 3
Physics implication from higher weak isospin decomposition 高弱同位旋分解的物理意义
IF 4.4 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2023-08-07 DOI: 10.1140/epjc/s10052-023-11886-0
Phung Van Dong, Duong Van Loi

The (SU(3)_Lotimes U(1)_X) symmetry actually studied is directly broken to the electroweak symmetry (SU(2)_Lotimes U(1)_Y) by a Higgs triplet, predicting a relevant new physics at TeV scale. This work argues, by contrast, that the higher weak isospin (SU(3)_L) might be broken at a high energy scale, much beyond 1 TeV, by a Higgs octet to an intermediate symmetry (SU(2)_Lotimes U(1)_{T_8}) at TeV, before the latter (U(1)_{T_8}) recombined with (U(1)_X) defines (i.e., broken to) (U(1)_Y) by a Higgs singlet. The new physics coupled to (SU(3)_L) breaking phase is decoupled, whereas what remains is a novel family-nonuniversal abelian model, (U(1)_{T_8}otimes U(1)_X), significantly overhauling the standard model as well as yielding consistent results for neutrino mass, dark matter, W-mass anomaly, and FCNC, differently from the usual 3-3-1 model.

实际上研究的(SU(3)_Lotimes U(1)_X)对称被希格斯三重态直接打破为电弱对称(SU(2)_Lotimes U(1)_Y),预测了在TeV尺度上的相关新物理。相比之下,这项研究认为,更高的弱同位旋(SU(3)_L)可能会在高能量尺度上被希格斯八极子打破,远远超过1 TeV,在TeV处被希格斯八极子打破为中间对称(SU(2)_Lotimes U(1)_{T_8}),然后后者(U(1)_{T_8})与(U(1)_X)重新组合(即被希格斯单重子打破为(U(1)_Y))。与(SU(3)_L)破断相耦合的新物理是解耦的,而剩下的是一个新的非泛族阿贝尔模型(U(1)_{T_8}otimes U(1)_X),它显著地颠覆了标准模型,并在中微子质量、暗物质、w -质量异常和FCNC方面得出了一致的结果,不同于通常的3-3-1模型。
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引用次数: 1
Constraining Palatini–Horndeski theory with gravitational waves after GW170817 GW170817后引力波对Palatini-Horndeski理论的约束
IF 4.4 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2023-08-07 DOI: 10.1140/epjc/s10052-023-11861-9
Yu-Qi Dong, Yu-Qiang Liu, Yu-Xiao Liu

In this paper, we investigate the possible parameter space of Palatini–Horndeski theory with gravitational waves in a spatially flat Universe. We develop a general method for obtaining the speed of gravitational waves in the Palatini formalism in the cosmological background and we find that if the theory satisfies the following condition: in any spatially flat cosmological background, the tensor gravitational wave speed is the speed of light c, then only (S = int d^4x sqrt{-g} big [K(phi ,X)-G_{3}(phi ,X){{tilde{Box }}}phi +G_{4}(phi ){tilde{R}}big ]) is left as the possible action in Palatini–Horndeski theory. We also find that when (G_{5}(phi ,X)ne 0), the tensor part of the connection will propagate and there are two different tensor gravitational wave speeds.

本文研究了空间平坦宇宙中具有引力波的Palatini-Horndeski理论的可能参数空间。我们发展了宇宙背景下Palatini形式中引力波速度的一般计算方法,发现如果该理论满足以下条件:在任何空间平坦的宇宙背景下,张量引力波速度为光速c,那么在Palatini - horndeski理论中只剩下(S = int d^4x sqrt{-g} big [K(phi ,X)-G_{3}(phi ,X){{tilde{Box }}}phi +G_{4}(phi ){tilde{R}}big ])作为可能的作用。我们还发现,当(G_{5}(phi ,X)ne 0)时,连接的张量部分将传播,并且存在两种不同的张量引力波速度。
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引用次数: 2
Confront (f(R,T)={mathcal {R}}+beta T) modified gravity with the massive pulsar ({textit{PSR J0740+6620}}) 面对(f(R,T)={mathcal {R}}+beta T)修正重力与大质量脉冲星 ({textit{PSR J0740+6620}})
IF 4.4 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2023-08-07 DOI: 10.1140/epjc/s10052-023-11882-4
G. G. L. Nashed

Many physically inspired general relativity (GR) modifications predict significant deviations in the properties of spacetime surrounding massive neutron stars. Among these modifications is (f({mathcal {R}}, {mathbb {T}})), where ({mathcal {R}}) is the Ricci scalar, ( {mathbb {T}}) is the trace of the energy–momentum tensor, the gravitational theory that is thought to be a neutral extension of GR. Neutron stars with masses above 1.8 (M_{odot }) expressed as radio pulsars are precious tests of fundamental physics in extreme conditions unique in the observable universe and unavailable to terrestrial experiments. We obtained an exact analytical solution for anisotropic perfect-fluid spheres in hydrostatic equilibrium using the frame of the linear form of (f({mathcal {R}},{mathbb {T}})={mathcal {R}}+beta {mathbb {T}}) where (beta ) is a dimensional parameter. We show that the dimensional parameter (beta ) and the compactness, (C=frac{2GM}{Rc^2}) can be used to express all physical quantities within the star. We fix the dimensional parameter (beta ) to be at most (beta _1=frac{beta }{kappa ^2}= 0.1) in positive values through the use of observational data from NICER and X-ray Multi-Mirror telescopes on the pulsar ({textit{PSR J0740+6620}}), which provide information on its mass and radius. The mass and radius of the pulsar ({textit{PSR J0740+6620}}) were determined by analyzing data obtained from NICER and X-ray Multi-Mirror telescopes. It is important to mention that no assumptions about equations of state were made in this research. Nevertheless, the model demonstrates a good fit with linear patterns involving bag constants. Generally, when the dimensional parameter (beta ) is positive, the theory predicts that a star of the same mass will have a slightly larger size than what is predicted by GR. It has been explained that the hydrodynamic equilibrium equation includes an additional force resulting from the coupling between matter and geometry. This force partially reduces the effect of gravitational force. As a result, we compute the maximum compactness allowed by the strong energy condition for (f({mathcal {R}}, {mathbb {T}})={mathcal {R}}+beta {mathbb {T}}) and for GR, which are (C = 0.757) and 0.725, respectively. These values are approximately 3% higher than the prediction made by GR.. Furthermore, we estimate the maximum mass (Mapprox 4.26 M_{odot }) at a radius of (Rapprox 15.9) km for the surface density at saturation nuclear density (rho _{text {nuc}} = 2.7times 10^{14})?g/cm(^3).

许多受物理启发的广义相对论(GR)修正预测了大质量中子星周围时空特性的显著偏差。在这些修正中有(f({mathcal {R}}, {mathbb {T}})),其中({mathcal {R}})是里奇标量,( {mathbb {T}})是能量动量张量的轨迹,引力理论被认为是GR的中性扩展。质量超过1.8 (M_{odot })的中子星表示为射电脉冲星,是在可观测宇宙中独特的极端条件下对基础物理的宝贵测试,无法用于地面实验。我们利用(f({mathcal {R}},{mathbb {T}})={mathcal {R}}+beta {mathbb {T}})的线性形式得到了静力平衡下各向异性完美流体球的精确解析解,其中(beta )是一个尺寸参数。我们证明了维度参数(beta )和紧度(C=frac{2GM}{Rc^2})可以用来表示恒星内部的所有物理量。通过使用NICER和x射线多镜望远镜对脉冲星({textit{PSR J0740+6620}})的观测数据,我们将尺寸参数(beta )固定为最大值(beta _1=frac{beta }{kappa ^2}= 0.1),这些观测数据提供了脉冲星的质量和半径信息。脉冲星({textit{PSR J0740+6620}})的质量和半径是通过分析NICER和x射线多镜望远镜获得的数据确定的。重要的是,在本研究中没有对状态方程作任何假设。然而,该模型证明了一个很好的拟合线性模式涉及袋常数。一般来说,当尺寸参数(beta )为正时,该理论预测相同质量的恒星将比GR预测的稍大。已经解释了流体动力学平衡方程包含了由物质和几何之间的耦合产生的额外力。这个力部分地减轻了重力的作用。因此,我们计算了强能量条件下(f({mathcal {R}}, {mathbb {T}})={mathcal {R}}+beta {mathbb {T}})和GR允许的最大紧度,分别为(C = 0.757)和0.725。这些值大约是3% higher than the prediction made by GR.. Furthermore, we estimate the maximum mass (Mapprox 4.26 M_{odot }) at a radius of (Rapprox 15.9) km for the surface density at saturation nuclear density (rho _{text {nuc}} = 2.7times 10^{14})?g/cm(^3).
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引用次数: 1
Quasinormal modes of black holes in f(Q) gravity f(Q)引力下黑洞的拟正态模式
IF 4.4 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2023-08-07 DOI: 10.1140/epjc/s10052-023-11881-5
Dhruba Jyoti Gogoi, Ali Övgün, M. Koussour

In this work, we have studied the quasinormal modes of a black hole in a model of the type (f(Q)=underset{n}{sum }a_{n}left( Q-Q_{0}right) ^{n} ) in f(Q) gravity by using a recently introduced method known as Bernstein spectral method and confirmed the validity of the method with the help of well known Padé averaged higher order WKB approximation method. Here we have considered scalar perturbation and electromagnetic perturbation in the black hole spacetime and obtained the corresponding quasinormal modes. We see that for a non-vanishing nonmetricity scalar (Q_0), quasinormal frequencies in scalar perturbation are greater than those in electromagnetic perturbation scenarios. On the other hand, the damping rate of gravitational waves is higher for electromagnetic perturbation. To confirm the quasinormal mode behaviour, we have also investigated the time domain profiles for both types of perturbations.

本文采用Bernstein谱法研究了f(Q)引力中(f(Q)=underset{n}{sum }a_{n}left( Q-Q_{0}right) ^{n} )型模型中黑洞的拟正态模态,并借助著名的pad平均高阶WKB近似法证实了该方法的有效性。本文考虑了黑洞时空中的标量摄动和电磁摄动,得到了相应的准正态模态。我们发现,对于非零非度量标量(Q_0),标量摄动下的拟非正常频率大于电磁摄动下的拟非正常频率。另一方面,电磁扰动下引力波的阻尼率更高。为了证实准正模态行为,我们还研究了这两种扰动的时域分布。
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引用次数: 7
Homogeneous and anisotropic cosmologies with affine EoS: a dynamical system perspective 具有仿射EoS的齐次和各向异性宇宙学:一个动力系统的视角
IF 4.4 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2023-08-06 DOI: 10.1140/epjc/s10052-023-11879-z
Ashutosh Singh

We study a class of homogeneous and anisotropic geometries with affine equation of state (EoS) for different physically plausible scenarios of the universe evolution using dynamical system technique. We analyze the locally rotationally symmetric Bianchi I (LRS BI), Bianchi III (LRS BIII) and Bianchi V (LRS BV) geometry for the exhibition of the effects of affine EoS in the model. The model exhibits stable attractor which is also isotropic and thus, it may explain the late-time accelerated expansion of the universe. The model also possess stiff matter-, radiation- and matter-dominated phases prior to the dark energy assisted accelerating phase which are confirmed by the behaviours of effective equation of state and deceleration parameters. We use the statefinder diagnostic which is a geometrical diagnostic to explore model independent features of the cosmological dynamical system. The LRS BI, BIII and BV geometry based dynamical systems exhibit (r=1,s=0) ((Lambda ) cold dark matter model) at late-times, which is compatible with the observations. The dynamical system for the Kantowski–Sachs model yields synchronous bounce on the basis of the model parameters. It also yields a late-time attractor which may explain the accelerated expansion of the universe in the model. The qualitative differences between LRS BIII and BV cosmological dynamical systems have also been discussed.

我们利用动力系统技术研究了一类具有仿射状态方程的齐次和各向异性几何,用于研究宇宙演化的不同物理可能情景。我们分析了局部旋转对称的Bianchi I (LRS BI), Bianchi III (LRS BIII)和Bianchi V (LRS BV)几何形状,以展示仿射EoS在模型中的影响。该模型显示出稳定的吸引子,并且各向同性,因此,它可以解释宇宙的后期加速膨胀。有效状态方程和减速参数的行为证实了该模型在暗能量辅助加速相之前还具有物质、辐射和物质主导的硬相。我们使用一种几何诊断方法——状态发现者诊断来探索宇宙动力系统与模型无关的特征。基于LRS BI、BIII和BV几何的动力系统在后期表现出(r=1,s=0)((Lambda )冷暗物质模型),这与观测结果是一致的。Kantowski-Sachs模型的动力系统在模型参数的基础上产生同步反弹。它还产生了一个晚时间吸引子,可以解释模型中宇宙的加速膨胀。还讨论了LRS BIII和BV宇宙学动力系统的质的区别。
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引用次数: 3
QED corrections to parton distributions and Altarelli–Parisi splitting functions in the polarized case 极化情况下parton分布和Altarelli-Parisi分裂函数的QED校正
IF 4.4 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2023-08-06 DOI: 10.1140/epjc/s10052-023-11871-7
Daniel de Florian, Lucas Palma Conte

We discuss the effect of QED corrections in the evolution of polarized parton distributions. We solve the corresponding evolution equations exactly to ({mathcal {O}}(alpha )) and ({mathcal {O}}(a_{textrm{S}}^2)) in Mellin N-space, extending the available techniques for pure QCD evolution. To accomplish this, we introduce, for the first time, the Altarelli–Parisi polarized kernels at LO in QED. Furthermore, we perform a phenomenological analysis of the QED effects on polarized parton distributions (pPDFs), proposing different scenarios for the polarized photon density. Finally, we quantify the impact of the corresponding QED contributions to the polarized structure function (g_1). We show that the relative corrections to both the pPDFs and the (g_1) structure function are approximately at the few percent level, which is the order of magnitude expected considering the value of (alpha ).

讨论了QED修正对极化部分子分布演化的影响。我们在Mellin n空间中精确地求解了相应的演化方程({mathcal {O}}(alpha ))和({mathcal {O}}(a_{textrm{S}}^2)),扩展了纯QCD演化的可用技术。为了实现这一目标,我们首次在QED的LO中引入了Altarelli-Parisi极化核。此外,我们对QED对极化部分子分布(pPDFs)的影响进行了现象学分析,提出了极化光子密度的不同情况。最后,我们量化了相应的QED贡献对极化结构函数(g_1)的影响。我们表明,ppdf和(g_1)结构函数的相对修正大约在几个百分点的水平上,考虑到(alpha )的值,这是预期的数量级。
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引用次数: 0
Thermal evolution and stability analysis of phenomenologically emergent dark energy model 现象学涌现暗能量模型的热演化与稳定性分析
IF 4.4 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2023-08-06 DOI: 10.1140/epjc/s10052-023-11840-0
Rosemin John, N. Sarath, Titus K. Mathew

The phenomenologically emergent dark energy (PEDE) model is a varying dark energy model with no extra degrees of freedom proposed by Li and Shafieloo (Astrophys J 883(1):L3, 2019) to alleviate the Hubble tension. The statistical consistency of the model has been discussed by many authors. Since the model depicts a phantom dark energy that increases with redshift, its cosmic evolution, particularly during the late phase, must be examined. We discover that the model’s Hubble and deceleration parameters display unusual behaviour in the future, which differs from (varLambda )CDM cosmology. We find the model also follows a distinct evolution in the statefinder plane. The phantom nature of the model leads to the violation of the null energy condition and a decrease in horizon entropy. The asymptotic future epoch also seems to be unstable based on our dynamical system analysis as well as the stability analysis based on dark energy sound speed.

现象学涌现暗能量(PEDE)模型是Li和Shafieloo (Astrophys J 883(1):L3, 2019)为缓解哈勃张力而提出的无额外自由度的变化暗能量模型。该模型的统计一致性已被许多作者讨论过。由于该模型描绘了一个随着红移而增加的暗能量幻影,因此必须对其宇宙演化,特别是在后期阶段进行研究。我们发现该模型的哈勃和减速参数在未来表现出不同寻常的行为,这与(varLambda ) CDM宇宙学不同。我们发现该模型在寻态器平面上也遵循一个明显的演变。模型的幻像性质导致了零能条件的破坏和视界熵的减小。基于我们的动力系统分析和基于暗能量声速的稳定性分析,渐近的未来历元似乎也是不稳定的。
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引用次数: 0
Can a variation of fine structure constant influence the fate of gravitational collapse? 精细结构常数的变化会影响引力坍缩的命运吗?
IF 4.4 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2023-08-05 DOI: 10.1140/epjc/s10052-023-11877-1
Soumya Chakrabarti

We show that it is possible to steer clear of a spacetime singularity during gravitational collapse by considering time-variation of a fundamental coupling, in this case, the fine structure constant (alpha ). We study a spherical distribution of cold dark matter coexisting with other fluid elements, collapsing under its own gravity. The dark matter is written as a scalar field interacting with electrically charged matter. This leads to a time variation of (alpha ) and as a consequence, a breakdown of local charge conservation within the sphere. The exterior has no such field and therefore, Einstein’s GR and standard equivalence principles remain valid. We derive the lowest possible bound on the collapse of this sphere beyond which there is a bounce and dispersal of most of the accumulated matter. We discuss the critical behavior of the system around this point and show that the bound is connected to a length scale of the order of Planck, introduced in the theory for dimensional requirements.

我们表明,通过考虑基本耦合的时间变化,在这种情况下,精细结构常数(alpha ),有可能在引力坍缩期间避开时空奇点。我们研究了冷暗物质与其他流体元素共存,在自身重力作用下坍缩的球形分布。暗物质被描述为与带电物质相互作用的标量场。这导致了(alpha )的时间变化,结果导致了球内局部电荷守恒的破坏。外部没有这样的场,因此,爱因斯坦的广义相对论和标准等效原理仍然有效。我们推导出这个球体坍缩的最低可能边界,超过这个边界,大多数积累的物质就会反弹和分散。我们讨论了系统在这一点周围的临界行为,并表明该边界与普朗克数量级的长度尺度有关,这是在理论中为满足尺寸要求而引入的。
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引用次数: 1
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The European Physical Journal C
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