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Inhomogeneous Abelian Chern-Simons Higgs Model with New Inhomogeneous BPS Vacuum and Solitons 带新非均质 BPS 真空和孤子的非均质阿贝尔切尔-西蒙斯希格斯模型
Pub Date : 2024-09-18 DOI: arxiv-2409.11978
Yoonbai Kim, O-Kab Kwon, Hanwool Song, Chanju Kim
We study an inhomogeneous U(1) Chern-Simons Higgs model with a magneticimpurity in the BPS limit. The potential is sextic with both broken andunbroken phases, but its minimum varies spatially depending on the strength ofthe impurity. While the system lacks translation symmetry, it admits asupersymmetric extension. Depending on the sign of the impurity term, it haseither a BPS sector or an anti-BPS sector (but not both), which satisfies theBogomolny equations. The vacuum configuration of the broken phase is not simplydetermined by the the minimum of the potential since it is no longer constant,but it becomes a nontrivial function satisfying the Bogomolny equations. Thus,the energy and angular momentum densities of the vacuum locally have nonzerodistributions, although the total energy and angular momentum remain zero. Asin the homogeneous case, the theory supports various BPS soliton solutions,including topological and nontopological vortices and Q-balls. The vorticitiesas well as the U(1) charges are exclusively positive or negative. For aGaussian type impurity as a specific example, we obtain rotationally symmetricnumerical solutions and analyze their detailed properties.
我们研究了一个非均质 U(1) 切尔-西蒙斯希格斯模型,它在 BPS 极限有一个磁杂质。该模型的势是六次方的,既有断裂相也有未断裂相,但其最小值随杂质的强度而在空间上变化。虽然该系统缺乏平移对称性,但它允许超对称扩展。根据杂质项的符号,它要么有一个 BPS 扇形,要么有一个反 BPS 扇形(但不能同时存在),这两个扇形都满足博戈莫尔尼方程。破缺相的真空构型并不是简单地由势能的最小值决定的,因为它不再是常数,而是变成了一个满足博戈莫尔尼方程的非难函数。因此,尽管总能量和角动量仍然为零,但真空局部的能量和角动量密度具有非零分布。与均相情况一样,该理论支持各种 BPS 孤子解,包括拓扑和非拓扑涡旋和 Q 球。漩涡和 U(1) 电荷完全是正的或负的。以高斯型杂质为例,我们得到了旋转对称数值解,并分析了它们的详细性质。
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引用次数: 0
Constraints on the maximal number of dark degrees of freedom from black hole evaporation, cosmic rays, colliders, and supernovae 黑洞蒸发、宇宙射线、对撞机和超新星对最大暗自由度数量的约束
Pub Date : 2024-09-17 DOI: arxiv-2409.11359
Christopher Ewasiuk, Stefano Profumo
A dark sector with a very large number of massive degrees of freedom isgenerically constrained by radiative corrections to Newton's constant. However,there are caveats to this statement, especially if the degrees of freedom arelight or mass-less. Here, we examine in detail and update a number ofconstraints on the possible number of dark degrees of freedom, including fromblack hole evaporation, from perturbations to systems including an evaporatingblack hole, from direct gravitational production at colliders, from high-energycosmic rays, and from supernovae energy losses.
具有大量大质量自由度的暗扇区一般受牛顿常数辐射修正的约束。然而,这种说法也有一些注意事项,特别是当自由度为轻度或无质量时。在这里,我们详细研究并更新了对暗自由度可能数量的一系列约束,包括来自黑洞蒸发、对包括蒸发黑洞在内的系统的扰动、对撞机的直接引力产生、高能宇宙射线以及超新星能量损失。
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引用次数: 0
An Interacting, Higher Derivative, Boundary Conformal Field Theory 相互作用、高次方、边界共形场论
Pub Date : 2024-09-17 DOI: arxiv-2409.11072
Christopher P. Herzog, Yanjun Zhou
We consider a higher derivative scalar field theory in the presence of aboundary and a classically marginal interaction. We first investigate the freelimit where the scalar obeys the square of the Klein-Gordon equation. Inprecisely $d=6$ dimensions, modules generated by $d-2$ and $d-4$ dimensionalprimaries merge to form a staggered module. We compute the conformal blockassociated with this module and show that it is a generalized eigenvector ofthe Casimir operator. Next we include the effect of a classically marginalinteraction that involves four scalar fields and two derivatives. The theoryhas an infrared fixed point in $d=6-{epsilon}$ dimensions. We compute boundaryoperator anomalous dimensions and boundary OPE coefficients at leading order inthe ${epsilon}$ expansion for the allowed conformal boundary conditions.
我们考虑了存在边界和经典边际相互作用的高导数标量场理论。我们首先研究标量服从克莱因-戈登方程平方的自由极限。在精确的$d=6$维,由$d-2$和$d-4$维基元生成的模块合并成一个交错模块。我们计算了与该模块相关的共形块,并证明它是卡西米尔算子的广义特征向量。接下来,我们加入了涉及四个标量场和两个导数的经典边际相互作用的效果。理论在 $d=6-{epsilon}$ 维上有一个红外定点。我们在允许的共形边界条件下,在${epsilon}$展开中计算边界算子反常维数和边界OPE系数。
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引用次数: 0
Zero-jettiness soft function to third order in perturbative QCD 微扰 QCD 中达到三阶的零喷射软函数
Pub Date : 2024-09-17 DOI: arxiv-2409.11042
Daniel Baranowski, Maximilian Delto, Kirill Melnikov, Andrey Pikelner, Chen-Yu Wang
We present the high-precision result for the zero-jettiness soft function atnext-to-next-to-next-to-leading order (N3LO) in perturbative QCD. At thisperturbative order, the soft function is the last missing ingredient requiredfor the computation of a hadronic colour singlet production or a colour singletdecay into two jets using the zero-jettiness variable as the slicing parameter.Furthermore, the knowledge of the N3LO soft function enables the re-summeddescription of the thrust distribution in the process $e^+ e^- totextrm{hadrons}$ through next-to-next-to-next-to-leading logarithmic order,which is important for the extraction of the strong coupling constant usingthis shape variable. On the methodological side, the complexity of thezero-jettiness variable forced us to develop a new semi-analytic method forphase-space integration in the presence of constraints parameterized throughHeaviside functions which, hopefully, will be useful for further development ofthe $N$-jettiness slicing scheme.
我们介绍了在微扰 QCD 中,零射流软函数在邻近到邻近到前沿阶(N3LO)的高精度结果。在这个微扰阶,软函数是利用零喷射性变量作为切分参数计算强子彩色单子产生或彩色单子衰变为两个喷流所需的最后一个缺失成分。此外,N3LO软函数的知识使得我们能够通过次对数阶重新求和描述过程$e^+ e^- (totextrm{hadrons}$中的推力分布,这对于利用这个形状变量提取强耦合常数非常重要。在方法论方面,由于零喷射性变量的复杂性,我们不得不开发出一种新的半解析方法,用于在通过海维塞德函数参数化的约束条件下进行相空间积分,希望这种方法将有助于进一步开发 $N$ 喷射性切片方案。
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引用次数: 0
SYK-Schur duality: Double scaled SYK correlators from $N=2$ supersymmetric gauge theory SYK-Schur对偶性:来自 $N=2$ 超对称规理论的双标度 SYK 相关因子
Pub Date : 2024-09-17 DOI: arxiv-2409.11551
Davide Gaiotto, Herman Verlinde
We propose a triality relating the Double-Scaled SYK model,$SL(2,mathbb{C})$ Chern-Simons theory on a disk with an irregular singularityat the center and the outcome of ``real Schur quantization'' applied to $SU(2)$Seiberg-Witten theory with Neumann boundary conditions. We give supportingevidence for our conjecture by establishing a precise match between a generalclass of correlators in all three systems.
我们提出了双尺度SYK模型、具有不规则奇点的圆盘上的$SL(2,mathbb{C})$ Chern-Simons理论以及应用于具有诺伊曼边界条件的$SU(2)$Seiberg-Witten理论的 "真实舒尔量子化 "结果的三重性。我们在这三个系统中建立了一类相关子之间的精确匹配,从而为我们的猜想提供了佐证。
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引用次数: 0
Hawking radiation far away from the event horizon 远离事件穹界的霍金辐射
Pub Date : 2024-09-17 DOI: arxiv-2409.11021
Dawid Maskalaniec, Bartłomiej Sikorski
We study particle production in Vaidya spacetime. Using the WKBapproximation, the distribution of Hawking radiation is calculated without thenear-horizon approximation, which leads to finite corrections to the purelythermal spectrum. We extend our analysis to extremal and non-extremalReissner-Nordstr"om and Kerr black holes. Our results can be understood interms of a thermodynamic toy model, where one regards Hawking radiation asUnruh radiation perceived by observers outside of the black hole. Moreover, weextend the model to incorporate the backreaction of Hawking quanta on spacetimegeometry. Our study suggests that the backreaction may prevent the formation ofthe event horizon and spacetime singularity.
我们研究了韦迪雅时空中的粒子产生。利用WKB近似法,我们计算了霍金辐射的分布,而不使用近地平线近似法,因为近地平线近似法会导致对纯热谱的有限修正。我们将分析扩展到极端和非极端的雷斯纳-诺德斯特朗(Reissner-Nordstr"om)和克尔黑洞。我们的结果可以用一个热力学玩具模型来理解,在这个模型中,我们把霍金辐射看成是黑洞外的观测者感知到的尤努辐射。此外,我们还扩展了模型,纳入了霍金量子对时空几何的反作用。我们的研究表明,反作用可能会阻止事件穹界和时空奇点的形成。
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引用次数: 0
The dynamics of spherically symmetric black holes in scalar-Gauss-Bonnet gravity with a Ricci coupling 具有里奇耦合的标量-高斯-波奈引力中球面对称黑洞的动力学
Pub Date : 2024-09-17 DOI: arxiv-2409.11398
Farid Thaalba, Nicola Franchini, Miguel Bezares, Thomas P. Sotiriou
We study the dynamics of spherically symmetric black holes in scalarGauss-Bonnet gravity with an additional coupling between the scalar field andthe Ricci scalar using non-linear simulations that employ excision. In thisclass of theories, black holes possess hair if they lie in a specific massrange, in which case they exhibit a finite-area singularity, unlike generalrelativity. Our results show that the Ricci coupling can mitigate the loss ofhyperbolicity in spherical evolution with black hole initial data. Usingexcision can enlarge the parameter space for which the system remainswell-posed, as one can excise the elliptic region that forms inside thehorizon. Furthermore, we explore a possible relation between the loss ofhyperbolicity and the formation of the finite-area singularity inside thehorizon. We find that the location of the singularity extracted from the staticanalysis matches the location of the sonic line well. Finally, when possible,we extract the monopolar quasi-normal modes and the time scale of the lineartachyonic instability associated with scalarization. We also check our resultsby utilizing a continued fraction analysis and supposing linear perturbationsof the static solutions.
我们利用非线性模拟,采用切除法研究了标量高斯-波奈引力中球面对称黑洞的动力学,标量场和利玛窦标量之间存在额外的耦合。在这一类理论中,如果黑洞位于特定的质量范围内,它们就会拥有发丝,在这种情况下,它们会表现出有限面积奇点,这与广义相对论不同。我们的研究结果表明,里奇耦合可以减轻黑洞初始数据在球形演化中的双曲性损失。利用切除可以扩大系统保持良好方程的参数空间,因为我们可以切除在地平线内形成的椭圆区域。此外,我们还探讨了失去双曲性与在地平线内形成有限面积奇点之间的可能关系。我们发现,从静态分析中提取的奇点位置与声波线的位置非常吻合。最后,在可能的情况下,我们提取了与标量化相关的单极准正常模式和线性不稳定性的时间尺度。我们还利用续分分析和假设静态解的线性扰动来检验我们的结果。
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引用次数: 0
Metallic holography for $mathcal{N}=2$ SCFTs in 4d 4d中$mathcal{N}=2$ SCFT的金属全息技术
Pub Date : 2024-09-17 DOI: arxiv-2409.11118
Dibakar Roychowdhury
We build up the notion of metallic holography for $mathcal{N}=2$ SCFTs infour dimensions, in the presence of a finite $U(1)$ chemical potential. Wecompute two point correlation functions and study their properties in theregime of low frequency and low momentum. The color sector reveals gaplessexcitations, one of which propagates with a finite phase velocity while theother mode attenuates through scattering. The flavour sector, on the otherhand, reveals spectrum that contains quasiparticle excitations which propagatewith a definite phase velocity together with modes that propagate with a finitegroup velocity which quantum attenuates quite similar in spirit as that ofLandau's zero sound modes. We also compute associated AC conductivities, whichexhibit different characteristics for different (color and flavour) sectors of$mathcal{N}=2$ SCFTs.
我们在有限$U(1)$化学势的存在下,为四维的$mathcal{N}=2$ SCFT建立了金属全息的概念。我们计算了两个点相关函数,并研究了它们在低频低动量条件下的性质。颜色部门揭示了间隙激发,其中一个以有限相位速度传播,而另一个模式则通过散射衰减。另一方面,味道部门揭示的频谱包含以一定相位速度传播的准粒子激发,以及以有限群速度传播的模式,这些模式的量子衰减在精神上与兰道的零声模式十分相似。我们还计算了相关的交流电导率,这些电导率在$mathcal{N}=2$ SCFT的不同(颜色和味道)扇形中表现出不同的特征。
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引用次数: 0
Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework 广义不确定性原理框架下被五芒星包围的施瓦兹柴尔德黑洞的热力学
Pub Date : 2024-09-17 DOI: arxiv-2409.11073
Soham Sen, Abhijit Dutta, Sunandan Gangopadhyay
We investigate the thermodynamics of a Schwarzschild black hole, surroundedby the quintessence energy-matter in the linear and quadratic generalizeduncertainty principle framework. Considering the variance in the position to beof the order of the event horizon radius and equating the variance in themomentum to the Hawking temperature of the black hole, we substitute thesevariances in the deformed algebra. From there we obtained the generalizeduncertainty principle-modified black hole temperature and eventually thespecific heat of the black hole. Then we calculate the critical as well as theremnant mass and obtain the entropy relation. We observe that the entropyrelation includes the usual leading order ``textit{area divided by four}"term, sub-leading logarithmic term, and higher order inverse of the areacorrections. Finally, calculating the energy output as a function of time, weobtain the evaporation time of the black hole. The results show the dependenceof the quintessence parameter on the thermodynamic quantities in the frameworkof linear and quadratic generalized uncertainty principle.
我们在线性和二次广义不确定性原理框架内研究了被能量-物质精华包围的施瓦兹柴尔德黑洞的热力学。考虑到位置的方差是事件视界半径的数量级,并将动量的方差等同于黑洞的霍金温度,我们将这些方差代入变形代数中。由此,我们得到了广义不确定性原理修正后的黑洞温度,并最终得到了黑洞的具体热量。然后,我们计算临界质量和存在质量,并得到熵关系。我们观察到,熵关系包括通常的前导项、次前导对数项和高阶的反等校正。最后,通过计算能量输出与时间的函数关系,我们得到了黑洞的蒸发时间。结果表明,在线性和二次广义不确定性原理的框架下,五元参数与热力学量之间存在依赖关系。
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引用次数: 0
Natural anomalous cyclotron response in a hydrodynamic local quantum critical metal in a periodic potential 周期势中流体动力局部量子临界金属的自然反常回旋响应
Pub Date : 2024-09-17 DOI: arxiv-2409.11095
Nicolas Chagnet, Sam Arend, Floris Balm, Martijn Janse, Joshua Saldi, Koenraad Schalm
We study DC magnetotransport in a quantum critical metal in the presence of alattice. In the regime where the transport is hydrodynamical the interplay ofthe Lorentz force and the lattice gives rise to a natural anomalouscontribution to the cyclotron frequency that changes it from its canonicalcharge-to-mass ratio. The size of this effect is universal as it is determinedonly by thermodynamic quantities. Remarkably the Drude weight changes in such away that to first subleading order in the lattice strength the Hall resistivityand Hall coefficient do not change, though the Hall angle does change. Weconfirm our results with numerical simulations in a holographic model of astrange metal. For weak lattice strength these hydrodynamic effects are shownto be present. The numerical simulations also suggest that strong latticeeffects beyond a hydrodynamic regime may provide a resolution to theexperimentally observed anomalous Hall response of cuprate strange metals.
我们研究了存在晶格的量子临界金属中的直流磁传输。在流体动力传输系统中,洛伦兹力和晶格的相互作用会对回旋频率产生自然的反常贡献,从而改变其典型的电荷质量比。这种效应的大小是普遍的,因为它只由热力学量决定。值得注意的是,德鲁德权重的变化使得晶格强度的第一个次低阶霍尔电阻率和霍尔系数没有发生变化,尽管霍尔角发生了变化。我们通过全息金属模型的数值模拟证实了我们的结果。对于弱晶格强度,这些流体动力效应被证明是存在的。数值模拟还表明,超越流体动力机制的强晶格效应可能会解决实验观察到的杯状奇异金属的异常霍尔响应。
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引用次数: 0
期刊
arXiv - PHYS - High Energy Physics - Theory
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