Robert J. Finkelstein
We reformulate the quantization of the gravitational field and its sources, including the electric and magnetic fields as they appear in the knot algebra.
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
The effects of the pole dark energy on gravitational waves
本文研究极点暗能量对引力波演化的影响，在平坦FRW宇宙中考虑两种势函数，建立扰动方程并分析引力波特征，得到有趣结果。
What is the graviton pole made of?
本文研究平直空间与AdS中二次减除色散关系内引力子极点的生成机制，揭示程函散射、弦论高自旋共振及自由或非全息CFT的作用，并给出平直空间的Tauberian约束。
We revisit the problem of plane monochromatic gravitational waves impinging upon a Schwarzschild black hole using complex angular momentum techniques. By extending our previous study concerning scalar and electromagnetic waves [A. Folacci and M. Ould El Hadj, Phys.\, Rev.\, D {\bf 99}, 104079, (2019), arXiv:1901.03965], we provide complex angular momentum representations and Regge pole approximations of the helicity-preserving and helicity-reversing scattering amplitudes and of the total differential scattering cross section. We show, in particular, that for high frequencies (i.e., in the shor…
Traversing a kinetic pole during inflation: primordial black holes and gravitational waves
本文研究暴胀期间穿越可积动能极点的模型，说明其可增强原初功率谱并产生原初黑洞与标量诱导引力波，且信号由极点处暴胀子质量量纲决定。
Soft zero for cylindrical gravitational waves
本文证明柱面引力波 S 矩阵存在由渐近无穷远处 Geroch 对称性的 Ward 恒等式导致的软零点，而非普通引力子的软极点，因此不产生记忆效应。
We develop the Tree-Loop Duality Relation for two- and three-loop integrals with multiple identical propagators (multiple poles). This is the extension of the Duality Relation for single poles and multiloop integrals derived in previous publications. We prove a generalization of the formula for single poles to multiple poles and we develop a strategy for dealing with higher-order pole integrals by reducing them to single pole integrals using Integration By Parts.
We advocate for an alternative description of gravitational radiation from black holes based on complex angular momentum techniques (analytic continuation of partial wave expansions, duality of the ${\cal S}$-matrix and effective resummations involving its Regge poles and the associated residues, Regge trajectories, semiclassical interpretations, etc.). Such techniques, which proved to be very helpful in various areas of physics to describe and analyze resonant scattering, were only marginally used in the context of black hole physics. Here, by considering the multipolar waveform generated by …
Pole-skipping of gravitational waves in the backgrounds of four-dimensional massive black holes
本研究从经典引力角度探究四维有质量黑洞背景下的引力波极点跳跃现象，分类极点跳跃点，推广达布变换的可积结构，并针对特殊情形给出新见解。
Scattering and conversion of electromagnetic and gravitational waves by Reissner-Nordström black holes: The Regge pole description
本文用 Regge 极点（复角动量）方法研究 Reissner-Nordström 黑洞对电磁波和引力波的散射与转换，通过数值计算极点谱、推导渐近表达式和解析近似截面，半经典地统一解释了黑洞辉光与轨道振荡现象。
Duality and four-dimensional black holes: gravitational waves, algebraically special solutions, pole skipping, and the spectral duality relation in holographic thermal CFTs
本文研究四维黑洞背景上引力波等经典场的电-磁型对偶性，揭示其几何与代数结构，并应用于全息热CFT，推导谱对偶关系及热谱约束，辅以数值验证。
On-shell Recursion Relations for Tree-level Closed String Amplitudes
本文利用BCFW平移和Schwinger参数化处理闭弦极点结构，推导出闭弦树级振幅的在壳递推关系，并通过插入Fock空间完备性关系给出另一种留数计算方法。
Black hole absorption cross sections: Spin and Regge poles
本文利用复角动量技术将Schwarzschild黑洞的吸收截面分解为背景积分与Regge极点级数，揭示了吸收的物理机制，并构建了包含自旋相位修正的高频解析近似，为黑洞吸收提供了统一的半经典解释。
Pole-skipping for massive fields and the Stueckelberg formalism
本文利用近视界方法研究AdS黑洞背景下有质量p-形式场和dRGT有质量引力场的极点跳跃现象，发现质量项破缺规范不变性导致极点跳跃点加倍，并通过Stueckelberg形式恢复规范不变性，将额外极点跳跃点与Stueckelberg场关联。
Pole-skipping in the de Sitter horizon structure
研究发现德西特时空中的不同自旋场在特定条件下表现出相同的极点跳变频率，但动量在复空间中因曲率而偏移，可通过算子维度测量。
When using dimensional regularization, the bare couplings are expressed as a power series in (2 - n/2)^{-1} where n is the number of dimensions. It is shown how the renormalization group can be used to sum the leading pole, next to leading pole etc. contributions to these sums in scalar electrodynamics (or any theory with multiple couplings.)
We provide simple and accurate analytical expressions for the Regge poles of the Schwarzschild black hole. This is achieved by using third-order WKB approximations to solve the radial wave equations for spins 0, 1 and 2. These results permit us to obtain analytically the dispersion relation and the damping of the "surface waves" lying on the photon sphere of the Schwarzschild black hole and which generate the weakly damped quasinormal modes of its spectrum. Our results could be helpful in order to simplify considerably the description of wave scattering from the Schwarzschild black hole as wel…
In the framework of dimensional regularization, we propose a generalization of the renormalization group equations in the case of the perturbative quantum gravity that involves renormalization of the metric and of the higher order Riemann curvature couplings. The case of zero cosmological constant is considered. Solving the renormalization group (RG) equations we compute the respective beta functions and derive the recurrence relations, valid at any order in the Newton constant, that relate the higher pole terms $1/(d-4)^n$ to a single pole $1/(d-4)$ in the quantum effective action. Using the …
Cosmological pole-skipping, shock waves and quantum chaotic dynamics of de Sitter horizons
本文系统分析宇宙时空中极点跳跃，提取视界处混沌数据并与冲击波计算匹配，提出双纠缠扇区全息对偶及微观玩具模型。
Six-point consistency and uniqueness of the Veneziano amplitude
本文通过结合六点一致性与低阶超对称关系，在亚纯类中证明Veneziano四点振幅的唯一性，并确定其全部极点与留数。
We extend the double copy picture of scattering amplitudes to a class of matrix elements (so-called form factors) that involve local gauge invariant operators. Both the Bern, Carrasco and Johansson (BCJ) and the Kawai, Lewellen and Tye (KLT) formalisms are considered and novel properties are observed. One remarkable feature is that through the double-copy construction, certain spurious poles hidden in the gauge form factors become physical propagators in gravity. This mechanism also reveals new hidden relations for form factors which can be understood as a generalization of the BCJ relations.
The features of the ordinary least squares method, which gives a possible way to a solution of the overdetermined systems of algebraic equations and allows to estimate the uncertainties of the obtained solutions, are considered. As the important physical example we define four-loop QCD coefficients in the dependence of the relation between pole and running heavy quarks masses on the number of light flavors, using the existing results of numerical supercomputer based calculations of the corresponding four-loop contributions at different fixed numbers of light flavors. Stability of the found sol…
Recently the four-loop perturbative QCD contributions to the relations between pole and running masses of charm, bottom and top quarks were evaluated in the $\rm{\overline{MS}}$-scheme with identical numerical error bars. In this work the flavour dependence of the $\mathcal{O}(α_s^4)$ correction to these asymptotic series is obtained in the semi-analytical form with the help of the least squares method. The numerical structure of the corresponding asymptotic perturbative relations between pole and running $c$, $b$ and $t$-quark masses is considered and the theoretical errors of the $\mathcal{O…
Topological Sum Rules and Spectral Flows of Chiral and Gravitational Axion-like Interactions
本文通过动量空间共形场论研究手征与引力反常关联函数，发现纵向求和规则及谱流面积律，并证明反常极点在共形极限下对应零面上的无质量粒子，可等效为两个混合赝标量场，应用于轴子物理与拓扑材料。
In contrast to the common wisdom, we discover that, instead of the exponential fall-off of the form factors with Regge-pole structure, the high-energy scattering amplitudes of string scattered from Domain-wall behave as power-law with Regge-pole structure. This is to be compared with the well-known power-law form factors without Regge-pole structure of the D-instanton scatterings. This discovery makes Domain-wall scatterings an unique example of a hybrid of string and field theory scatterings. The calculation is done for bosonic string scatterings of arbitrary massive string states from D-24 b…
Dispersion Relations and Pole-Skipping in a Holographic Charmonium Model with Rotating Plasma
本研究采用自下而上的全息QCD模型，通过计算准正规模研究旋转介质中粲偶素的解离，推导重矢量介子运动方程，计算电荷扩散常数并分析极点跳跃现象，探究旋转对J/ψ态自旋排列的影响。
We consider a holographic thermal state and perturb it by a scalar operator whose associated real-time Green's function has only gapped poles. These gapped poles correspond to the non-hydrodynamic quasinormal modes of a massive scalar perturbation around a Schwarzschild black brane. Relations between pole-skipping points, critical points and quasinormal modes in general emerge when the mass of the scalar and hence the dual operator dimension is varied. First, this novel analysis reveals a relation between the location of a mode in the infinite tower of quasinormal modes and the number of pole-…
A specific representation of the known one-loop EW correction to the relation between the pole and running $\msbar$-scheme masses of the top-quark through particle masses of the Standard Model is given within the Fleischer-Jegerlehner tadpole scheme, where the vacuum expectation value of the Higgs field is renormalized. The importance of taking into account both the EW and QCD effects in this relation in the considered case is emphasized. It is noted that the discard of the EW corrections leads to over $10\;{\rm{GeV}}$ shift in the difference between the pole and running $t$-quark masses. This…
The anomalous effective action describing the coupling of gravity to a non-abelian gauge theory can be determined by a variational solution of the anomaly equation, as shown by Riegert long ago. It is given by a nonlocal expression, with the nonlocal interaction determined by the Green's function of a conformally covariant operator of fourth order. In recent works it has been shown that this interaction is mediated by a simple pole in an expansion around a Minkowski background, coupled in the infrared in the massless fermion limit. This result relies on the local formulation of the original ac…
It is shown that the commonly accepted relationship between the Landau singularity in the running coupling constant of QED or QCD and the renormalon singularities in the Borel sums of perturbation theory expansions is only a particular feature of the restriction of the perturbative $β$--function to the one loop level.
In this paper we present an iterative method to generate an infinite class of new nonlocal field theories whose propagators are ghost-free. We first examine the scalar field case and show that the pole structure of such generalized propagators possesses the standard two derivative pole and in addition can contain complex conjugate poles which, however, do not spoil at least tree level unitarity as the optical theorem is still satisfied. Subsequently, we define analogous propagators for the fermionic sector which is also devoid of unhealthy degrees of freedom. As a third case, we apply the same…
Exact two-loop gravitational tail integrals and their ultraviolet-infrared structure
该研究推导了双圈引力尾积分的精确闭式表达式，分析了其紫外与红外极点结构，验证了红外极点与单圈引力尾指数化结果一致，且紫外留数重现了多极反常维度。
We study the main options for a unitary and renormalizable, local quantum field theory of the gravitational interactions. The first model is a Lee-Wick superrenormalizable higher-derivative gravity, formulated as a nonanalytically Wick rotated Euclidean theory. We show that, under certain conditions, the $S$ matrix is unitary when the cosmological constant vanishes. The model is the simplest of its class. However, infinitely many similar options are allowed, which raises the issue of uniqueness. To deal with this problem, we propose a new quantization prescription, by doubling the unphysical p…
The trace anomaly of quantum fields in electromagnetic or gravitational backgrounds implies the existence of massless scalar poles in physical amplitudes involving the stress-energy tensor. Considering first the axial anomaly and using QED as an example, we compute the full one-loop triangle amplitude of the fermionic stress tensor with two current vertices, <T^{mn} J^a J^b>, and exhibit the scalar pole in this amplitude associated with the trace anomaly, in the limit of zero electron mass m -> 0. To emphasize the infrared aspect of the anomaly, we use a dispersive approach and show that this …
I discuss the relation between harmonic polynomials and invariant theory and show that homogeneous, harmonic polynomials correspond to ternary forms that are apolar to a base conic (the absolute). The calculation of Schlesinger that replaces such a form by a polarised binary form is reviewed. It is suggested that Sylvester's theorem on the uniqueness of Maxwell's pole expression for harmonics is renamed the Clebsch-Sylvester theorem. The relation between certain constructs in invariant theory and angular momentum theory is enlarged upon and I resurrect the Joos--Weinberg matrices. Hilbert's pr…
A common strategy to investigate the fate of gravitational singularities in asymptotically AdS spacetimes is to translate the question from the gravitational side to a dual field theory using the gauge/gravity correspondence and to do a field theory computation. Given recent progress in singularity resolution via non-perturbative quantum gravity, it is natural to now turn the question around and to ask about field theory signatures of resolved singularities. An investigation along this line has been initiated in a companion paper, where a finite-distance pole exhibited by the two-point correla…
We study quantum chaos of rotating BTZ black holes in Topologically Massive gravity (TMG). We discuss the relationship between chaos parameters including Lyapunov exponents and butterfly velocities from shock wave calculations of out-of-time-order correlators (OTOC) and from pole-skipping analysis. We find a partial match between pole-skipping and the OTOC results in the high temperature regime. We also find that the velocity bound puts a chaos constraint on the gravitational Chern-Simons coupling.
A toy-model is studied, which considers two flat directions meeting at an enhanced symmetry point such that they realise the usual hybrid inflation mechanism. The kinetic term of the waterfall field features a pole at its Planckian vacuum expectation value (VEV), as with $α$-attractors. Consequently, after the phase transition which terminates hybrid inflation, the waterfall field never rolls to its VEV. Instead, it drives a stiff period, where the barotropic parameter of the Universe $w\approx 1/2$ results in a peak in the spectrum of primordial gravitational waves, which will be observable b…
We study the relationship between many-body quantum chaos and energy dynamics in holographic quantum field theory states dual to the simply-spinning Myers-Perry-AdS$_5$ black hole. The enhanced symmetry of such black holes allows us to provide a thorough examination of the phenomenon of pole-skipping, that is significantly simpler than a previous analysis of quantum field theory states dual to the Kerr-AdS$_4$ solution. In particular we give a general proof of pole-skipping in the retarded energy density Green's function of the dual quantum field theory whenever the spatial profile of energy f…
We analyse the structure of solutions of the Ginsparg-Wilson relation for lattice Dirac operator in topologically trivial gauge sector. We show that the properties of such solutions relating to the perturbative stability of the pole of the fermion propagator as well as to the structure of the Yukawa models based on these solutions are solely determined by the non-local chirally invariant part of these Dirac operators. Depending on the structure of this part, the pole in the fermion propagator may or may not be stable under radiative corrections. We illustrate this by explicit examples.
A stringy dispersion relation for field theory
本文提出了一种基于弦论的局部交叉对称散射关系，用于推导场论中2-2散射幅的参数级数表示，并探讨其在弱耦合引力有效场论中的应用。
Bounds on transport represent a way of understanding allowable regimes of quantum and classical dynamics. Numerous such bounds have been proposed, either for classes of theories or (by using general arguments) universally for all theories. Few are exact and inviolable. I present a new set of methods and sufficient conditions for deriving exact, rigorous, and sharp bounds on all coefficients of hydrodynamic dispersion relations, including diffusivity and the speed of sound. These general techniques combine analytic properties of hydrodynamics and the theory of univalent (complex holomorphic and…
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。