M. L. Deglmann, Marco A. C. Kneipp
We analyze the asymptotic stability of the $SU(n)$ Dark Monopole solutions and we show that there are unstable modes associated with them. We obtain the explicit form of the unstable perturbations and the associated negative-squared eigenfrequencies.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
继续探索
We suggest that dark matter may be partially constituted by a dilute 't Hooft-Polyakov monopoles gas. We reach this conclusion by using the Georgi-Glashow model coupled to a dual kinetic mixing term $ F{\tilde {\cal G}}$ where $F$ is the electromagnetic field and ${\cal G}$ the 't Hooft tensor. We show that these monopoles carry both (Maxwell) electric and (Georgi-Glashow) magnetic charges and the electric charge quantization condition is modified in terms of a dimensionless real parameter. This parameter could be determined from milli-charged particle experiments.
In a secluded dark sector which is coupled to the Standard Model via a Higgs portal interaction we arrange for the existence of 't Hooft-Polyakov magnetic monopoles and study their implications for cosmology. We point out that a dark sector which can accommodate stable monopoles will also contain massless dark photons gamma' as well as charged massive vector bosons W'. The dark matter in this scenario will be a combination of magnetically and electrically charged species under the unbroken U(1) subgroup of the dark sector. We estimate the cosmological production rate of monopoles and the rate …
We consider a Yang-Mills-Higgs theory with gauge group $G=SU(n)$ broken to $G_{v} = [SU(p)\times SU(n-p)\times U(1)]/Z$ by a Higgs field in the adjoint representation. We obtain monopole solutions whose magnetic field is not in the Cartan Subalgebra. Since their magnetic field vanishes in the direction of the generator of the electromagnetic group $U(1)_{em}$, we call them Dark Monopoles. These Dark Monopoles must exist in some Grand Unified Theories (GUTs) without the need to introduce a dark sector. We analyze the particular case of $SU(5)$ GUT, where we obtain that their mass is $M = 4πv \w…
Dark monopoles
本文提出将QED推广为双光子理论，通过混合相互作用将电子和单极子转化为双极子，从而产生可探测的实验后果。
We explore kinetic mixing between two Abelian gauge theories that have both electric and magnetic charges. When one of the photons becomes massive, novel effects arise in the low-energy effective theory, including the failure of Dirac charge quantization as particles from one sector obtain parametrically small couplings to the photon of the other. We maintain a manifest SL(2,Z) duality throughout our analysis, which is the diagonal subgroup of the dualities of the two un-mixed gauge theories.
The thermal freeze-out mechanism for relic dark matter heavier than $O(10-100 $ TeV$)$ requires cross-sections that violate perturbative unitarity. Yet the existence of dark matter heavier than these scales is certainly plausible from a particle physics perspective, pointing to the need for a non-thermal cosmological history for such theories. Topological dark matter is a well-motivated scenario of this kind. Here the hidden-sector dark matter can be produced in abundance through the Kibble-Zurek mechanism describing the non-equilibrium dynamics of defects produced in a second order phase tran…
Self-Interaction and Galactic Magnetic Field Bounds on Millicharged Magnetic Monopole Dark Matter
本文探讨了由暗U(1)对称性磁单极构成的暗物质领域，其与标准模型光子有微小动能混合。通过暗物质领域的温度和自发对称破缺尺度，讨论了三种现象学不同的情况，并将暗物质自相互作用的限制转化为模型参数的限制，同时考虑银河磁场的存活（帕克效应）对暗-可见领域混合的进一步约束。
Hidden monopole is a plausible dark matter candidate due to its stability, but its direct experimental search is extremely difficult due to feeble interactions with the standard model particles in the minimal form. Then, we introduce an axion, $a$, connecting the hidden monopole and the standard model particles and examine the current limits and future prospects of direct dark matter searches and beam-dump experiments. We find two parameter regions around $m_a = {\cal O}(10)$ MeV, $f_a = {\cal O}(10^{5})$ GeV and $m_a = {\cal O}(100)$ MeV, $f_a = {\cal O}(10^{4})$ GeV where monopole dark matte…
We discuss how the topological defects in the dark sector affect the Standard Model sector when the dark photon has a kinetic mixing with the QED photon. In particular, we consider the dark photon appearing in the successive gauge symmetry breaking, $\mathrm{SU}(2)\to \mathrm{U}(1) \to \mathbb{Z}_2$, where the remaining $\mathbb{Z}_2$ is the center of $\mathrm{SU(2)}$. In this model, the monopole is trapped into the cosmic strings and forms the so-called bead solution. As we will discuss, the dark cosmic string induces the QED magnetic flux inside the dark string through the kinetic mixing. Th…
Dark sectors with Abelian gauge symmetries can interact with ordinary matter via kinetic mixing. In such scenarios, magnetic monopoles of a broken dark $U(1)$ will appear in our sector as confined milli-magnetically charged objects under ordinary electromagnetism. Halo ellipticity constraints are shown to significantly bound the strength of dark magnetic Coulomb monopole interactions. The bound monopole ground state, which in vacuum is stable and has no magnetic charge or moment, is shown to become quantum mechanically unstable in the presence of an external, ordinary magnetic field. If these …
The price for monopole dark matter
该研究构建了由't Hooft-Polyakov单极子组成暗物质的模型，通过调整暗费米子质量解决单极子丰度问题，预测暗辐射与引力波信号，相关候选体超出常规实验探测范围。
We determine the asymptotic dynamics of the U(N) doubly periodic BPS monopole in Yang-Mills-Higgs theory, called a monopole wall, by exploring its Higgs curve using the Newton polytope and amoeba. In particular, we show that the monopole wall splits into subwalls when any of its moduli become large. The long-distance gauge and Higgs field interactions of these subwalls are abelian, allowing us to derive an asymptotic metric for the monopole wall moduli space.
We propose a model of dark matter: galaxy-sized 't Hooft-Polyakov magnetic monopoles in a new, extraordinarily weakly coupled SU(2) gauge sector with an adjoint Higgs field and two flavors of fundamental fermions. We fit the parameters by asserting that the dark matter halos of the lightest dwarf spheroidal (dSph) galaxies consist of a single charge Q=1 monopole. Lensing and wide binary bounds are then easily satisfied and the monopoles form in time to help with CMB fluctuations. In this model dSph and low surface brightness (LSB) halos automatically have (1) A minimum mass - Dirac quantizatio…
Asymptotic metrics for SU(N)-monopoles with maximal symmetry breaking
我们计算了SU（N）单极子的模空间的最大对称破缺的渐近度量。这些度量是指数接近精确的矩阵度量，只要对于每个简单的根，对应于该根的各个单极子被很好地分离。我们还证明了这些估计在自然坐标系中可以逐项微分，这是一个新的结果，即使对于SU（2）单极子也是如此。
In this short note we suggest that the singular behavior of large gauge transformations preserving the vacuum at null infinity in Yang-Mills theory implies monopoles into the bulk, as well as that the inclusion of a theta term induces a decoupling between holomorphic and anti-holomorphic currents associated to those large gauge transformations
Numerical and asymptotic analysis of the 't Hooft-Polyakov magnetic monopole
本文对静态球对称SU（2）磁势方程组进行了高精度数值分析。使用多激发和多域谱方法，对于大的$β$ -间隔（$M_H$和$M_W$分别表示Higgs和规范场的质量），可以相当精确地得到Higgs的质量作为$β=M_H/M_W$的函数。数值结果需要重新检查和随后的修正以前的渐近分析的质量在文献中的$β\ll1$。
We study a spontaneously broken Einstein-Yang-Mills-Higgs model coupled via a Higgs portal to an uncharged scalar $χ$. We present a phase diagram of self-gravitating solutions showing that, depending on the choice of parameters of the $χ$ scalar potential and the Higgs portal coupling constant $ γ$, one can identify different regions: If $γ$ is sufficiently small a $χ$ halo is created around the monopole core which in turn surrounds a black-hole. For larger values of $γ$ no halo exists and the solution is just a black hole-monopole one. When the horizon radius grows and becomes larger than the…
We prove the existence of dark monopole solutions in a recently formulated Yang--Mills--Higgs theory model with technical features similar to the classical monopole problems. The solutions are obtained as energy-minimizing static spherically symmetric field configurations of unit topological charge. We overcome the difficulty of recovering the full set of boundary conditions by a regularization method which may be applied to other more complicated problems concerning monopoles and dyons in non-Abelian gauge field theories. Furthermore we show in a critical coupling situation that an explicit B…
Cycloops: Dark Matter or a Monopole Problem for Brane Inflation?
我们考虑在具有紧致额外维的宇宙学模型中由长弦相互作用产生的宇宙圈。在紧致流形不是单连通的情况下，我们关注的是环路缠绕在非平凡圈周围并被拓扑捕获的可能性。这样的环，被称为cycloops，表现得像辐射时代的物质，造成了潜在的辐射问题。我们计算了这些天体的数量分布和能量密度随宇宙时间的变化，并用它们来研究简单膜暴胀模型的宇宙学约束。对于典型的参数选择，我们发现，为了避免在物质辐射跃迁之前的cycloop支配，弦必须是不可接受的轻，即$Gμ<10^{-18}$，除非提供某种机制来稀释cycloop。然而，通过探索完整的参数空间，我们能够找到具有$Gμ\sim 10^{-14}$的模型，这与膜膨胀略微一致。在这样的模型中，独眼望远镜可能是一个有趣的暗物质候选者。
We propose a new definition for the abelian magnetic charge density of a non-abelian monopole, based on zero-modes of an associated Dirac operator. Unlike the standard definition of the charge density, this density is smooth in the core of the monopole. We show that this charge density induces a magnetic field whose expansion in powers of 1/r agrees with that of the conventional asymptotic magnetic field to all orders. We also show that the asymptotic field can be easily calculated from the spectral curve. Explicit examples are given for known monopole solutions.
Asymptotic analysis of the Skyrmed monopole
我们考虑一个变种的Georgi的BPS限制，增加了一个更高的衍生Skyrme类项，这是最简单的YMH模型，可以支持BPS束缚态的模型。球对称的解决方案进行了研究与分析和数值技术相结合，这强烈表明，解决方案收敛到一个有限的能量配置的Skyrme的无限耦合的限制。
Black hole dark monopole system
研究可见和暗物质扇区电荷在磁极附近的性质，发现静止电荷系统具有角动量，且暗光子理论中磁荷黑洞外的静止电荷在大距离上表现为稳态轴对称磁荷黑洞。
Gravitational waves and dark matter with Witten effect
本研究探讨不同温标下暗$SU(2)_d$对称性破缺过程，评估隐藏磁单极子的暗物质候选潜力，分析轴子-磁单极子相互作用对轴子质量的影响，同时指出暗相变与轴子畴壁坍缩产生的随机引力波背景或可解释PTA实验的低频引力波信号。
Monopoles and dyons in SO(3) gauged Skyrme models
本文讨论了三维SO（3）规范Skyrme模型，其特征是特定势在手征场上施加特殊的渐近值。这些模型被证明支持有限能量的解决方案与非零的磁通量和电通量，其能量是有界的两个不同的收费从下面-磁（磁）收费和重子收费的非整数版本。单位磁荷的解决方案构造数值和其特性所选择的渐近性和Skyrme耦合进行了研究。对于所选择的渐近性的一个特定的值，电荷2轴对称的解决方案也被构造和吸引的性质，该系统的类单极显示。作为对可能存在的大团块的单极子的指示，一些考虑的轴对称单极的电荷-2，3，4。
Axisymmetric non-abelian BPS monopoles from G_2 metrics
利用$S^3\times S^3$上的$G_2$完备性对锥进行降维，构造了四维精确的$SU(2)\times U(1)$自引力BPS全局磁单极.解以一种有趣的方式携带两个拓扑荷。它们一般是轴对称的，但不是球对称的。这最后一个事实与$G_2$度量的等距和渐近拓扑有关。它进一步表明，一些$G_2$度量已知的数值减少到超对称宇宙弦。
At classical level, dynamical derivation of the properties and conservation laws for topologically non-trivial systems from Noether theorem versus the derivation of the system's properties on topological grounds are considered as distinct. We do celebrate any agreements in results derived from these two distinct approaches: i.e. the dynamical versus the topological approach. Here we consider the Corrigan-Olive-Fairlie-Nuyts solution based on which we study the stability of the 't Hooft- Polyakov outer field, known as its Higgs vacuum, and derive its stability, dynamically, from the equations o…
The Moduli Space of Many BPS Monopoles for Arbitrary Gauge Groups
本文研究了具有最大破缺为$U(1)^k$的任意规范群的规范理论中任意BPS单极数的模空间。从分离好的双子的低能动力学出发，我们推出了模空间的度规的渐近形式。对于一对不同的基本单极子，这样得到的空间是$R^3 \times(R^1\times {\cal M}_0)/Z$，其中${\cal M}_0$是欧几里德陶布-NUT流形。按照Atiyah和Hitchin的方法，我们证明了这实际上是这种情况下的精确模空间。对于任何数量的这样的对象，我们表明，渐近形式保持非奇异的所有值的international距离，它具有对称性和其他特性所需的精确度量。因此，我们推测，渐近形式是准确的，这些情况下。
The Asymptotic Structure of the Centred Hyperbolic 2-Monopole Moduli Space
本文在点粒子近似下构造了两个中心双曲单极子模空间的渐近度量，通过考虑对径构型克服了双曲情形下无法分解质心运动的困难，得到了负质量Taub-NUT度量的双曲类比，并建立了其与Hitchin构造的双曲Atiyah-Hitchin度量渐近形式的关系。
It has long been known that in the absence of electric charges and currents, Maxwell's electromagnetism in 4 dimensional vacuum Minkowski space-time is invariant under SO(2) dual transformations that mix its electric and magnetic fields. Extending this symmetry to include the coupling to electrically charged matter, requires a dual coupling to magnetically charged matter as well, leading to Maxwell equations for SO(2) dual electrodynamics. Based on a doubled ensemble of SO(2) dual 4-vector gauge potentials which does away with the need of Dirac string singularities for magnetic monopoles, a lo…
Comment on "Scalar-tensor gravity coupled to a global monopole and flat rotation curves" by Lee and Lee
Lee和Lee（2004）最近的论文可能会给人留下一个强烈的印象，即天文学家已经确定螺旋星系的旋转曲线是平坦的。我们表明，平坦旋转曲线的旧范式缺乏，今天，任何观测的支持，并按照它的面值导致本质上有缺陷的替代品的标准暗物质的情况。在另一方面，我们声称，丰富的系统的螺旋星系旋转曲线，揭示了，在标准的牛顿引力框架，暗物质的现象，在替代方案，作为一个独特的基准。
A global monopole (or other topological defect) formed during a recent phase transition with core size comparable to the present Hubble scale, could induce the observed accelerating expansion of the universe. In such a model, topological considerations trap the scalar field close to a local maximum of its potential in a cosmologically large region of space. We perform detailed numerical simulations of such an inhomogeneous dark energy system (topological quintessence) minimally coupled to gravity, in a flat background of initially homogeneous matter. We find that when the energy density of the…
de Sitter/ Anti-de Sitter global monopoles
我们考虑渐近de Sitter/ Anti- de Sitter时空中的全局单极子。我们提出了我们的数值分析证实的渐近行为的度量和Goldstone场函数。我们发现在这个模型中视界的出现强烈地依赖于宇宙学常数的符号和值以及引力耦合的值。在反德西特（AdS）空间中，我们发现当宇宙学常数取一定值时，不存在视界的整体单极子只存在于引力耦合的临界值之前.此外，我们观察到（与最近的另一项研究相反），宇宙学常数的引入不能使全球质量为正。
The Moduli Space Metric for Well Separated BPS Monoples
通过将BPS磁单极子视为带有磁、电和标量电荷的点粒子，计算了分离良好的$n$磁单极子运动的拉格朗日量。它可以被重新解释为$n$ -1模空间的渐近区域上测地线运动的拉格朗日量，从而确定了模空间上的渐近度量。度量是hyperkähler的，是前面考虑过的一类度量的一个显式例子。
Perturbations of global monopoles as a black hole's hair
研究了具有整体微毛的球对称黑洞的稳定性。渐近时空是平坦的，但有一个亏损立体角，它依赖于标量场的真空期望值。当真空期望值大于某个临界值时，这个时空具有宇宙学事件视界。我们研究这些解决方案对球和极扰动的稳定性，并确认在这两种情况下，全球的头发是稳定的。虽然我们考虑了一些特殊的模式在极的情况下，我们的分析表明，“拓扑荷”的存在下的事件视界和违反黑洞无毛猜想在渐近非平坦时空的守恒。
A note on the (1, 1,..., 1) monopole metric
最近K。Lee，E. J. Weinberg和P. Yi在CU-TP-739，hep-th/9602167中计算了模空间（1，1，…，1)BPS单极子，并证实它是全球准确的。我借支持这一猜想表明，在相应的空间的Nahm数据的度量是相同的度量，他们计算。
We implement quantum corrections for a magnetic monopole in a classically conformally invariant theory containing gravity. This yields the trace (conformal) anomaly and introduces a length scale in a natural fashion via the process of renormalization. We evaluate the one-loop effective potential and extract the vacuum expectation value (VEV) from it; spontaneous symmetry breaking is radiatively induced. The VEV is set at the renormalization scale $M$ and we exchange the dimensionless scalar coupling constant for the dimensionful VEV via dimensional transmutation. The asymptotic (background) sp…
We describe compactifications of the moduli spaces of SU(2) monopoles on R3 as manifolds with corners, with respect to which the hyperKaehler metrics admit asymptotic expansions up to each boundary face. The boundary faces encode monopoles of charge k decomposing into widely separated monopoles of lower charge, and the leading order asymptotic of the metric generalizes the one obtained by Gibbons, Manton and Bielawski in the case of complete decomposition into monopoles of unit charge. From the structure of the compactifications, we prove part of Sen's conjecture for the L2 cohomology of the s…
Wormhole formations in the galactic halos supported by dark matter models and global monopole charge within $f(Q)$ gravity
本文在$f(Q)$引力中研究由暗物质模型和全局单极荷支持的银河区域可穿越虫洞，在线性模型下获得满足flare-out条件的形状函数并分析能量条件违反，同时确认仅需少量奇异物质即可维持虫洞。
Abelian-Projected Effective Gauge Theory of QCD with Asymptotic Freedom and Quark Confinement
本文从3+1维SU（2）Yang-Mills理论出发，证明了阿贝尔投影有效规范理论是用极大阿贝尔规范场和对偶阿贝尔规范场与量子流的相互作用来表示的。这是通过积分出所有剩余的属于SU（2）/U（1）的非阿贝尔规范场来实现的。我们表明，由此产生的阿贝尔规范理论恢复完全相同的单圈β函数作为原来的杨米尔斯理论。此外，如果发生凝聚，则对偶阿贝尔规范场变得有质量。这一结果支持了QCD中夸克禁闭的对偶超导体方案。我们给出了双超导电性的判据，并指出双超导电性凝聚可以由经典的瞬子组态来估计。因此，在对偶迈斯纳机制的基础上，可以存在既具有渐近自由又具有夸克禁闭的有效阿贝尔规范理论。在这种方法中，包含任意数量的费米子味道是直接的。对低维情况的一些影响也将被讨论。
Nonlinear perturbations of the Kaluza-Klein monopole
我们考虑了作为五维真空爱因斯坦方程静态解的Kaluza-Klein方程的非线性稳定性。使用数值和分析的方法，我们给出的证据表明，卡鲁扎-克莱因双锥是渐近稳定的coordinity-two双轴Bianchi IX的ananterior最近推出的\cite{bcs}。我们还表明，足够大的扰动的卡鲁扎-克莱因黑洞失去稳定性和崩溃的卡鲁扎-克莱因黑洞。简要讨论了我们的结果与M/弦论中BPS态稳定性的关系。
Despite their potential importance for understanding astrophysical jets, physically realistic exact solutions for magnetospheres around Kerr black holes have not been found, even in the force-free approximation. Instead approximate analytical solutions such as the Blandford-Znajek (split-)monopole, as well as numerical solutions, have been constructed. In this paper we consider a new approach to the analysis and construction of such magnetospheres. We consider force-free electrodynamics close to the rotation axis of a magnetosphere surrounding a Kerr black hole assuming axisymmetry. This is th…
We explore the physics of two-body decay of BPS states using semiclassical analysis to construct explicit solutions that illustrate the main features of wall crossing, for both ordinary and framed BPS states. In particular we recover the primitive wall-crossing formula from an asymptotic analysis of certain Dirac-type operators on monopole moduli spaces. Along the way we give an asymptotic metric for the moduli space of singular monopoles, analogous to the Gibbons-Manton and Lee-Weinberg-Yi metrics for the moduli space of smooth monopoles, and we find evidence for the existence of stable non-B…
We compute the index and associated spectral density for fluctuation operators which are defined via the Lagrangian of N=2 SQCD in the background of non-abelian confined multimonopoles. To this end we generalize the standard index calculations of Callias and Weinberg to the case of asymptotically nontrivial backgrounds. The resulting index is determined by topological charges. We conjecture that this index counts one quarter of the dimension of the moduli space of confined multimonopoles.
扫码添加微信好友，提出您的宝贵建议 👇
💡 备注请填写：网站反馈
发表机构由 AI 从论文文本抽取，如发现错误，欢迎反馈修正建议。