Effective two-body approach to the hierarchical three-body problem

The motion of three bodies can be solved perturbatively when a tightly bound inner binary is orbited by a distant perturber, giving rise, for example, to the well-known Kozai-Lidov oscillations. We propose to study the relativistic hierarchical three-body orbits by adapting the effective field theory techniques used in the two-body problem. This allows us to conveniently treat the inner binary as an effective point particle, thus reducing the complexity of the three-body problem to a simpler spinning two-body motion. We present in detail the mapping between the inner binary osculating elements and the resulting spin of the effective point particle. Our study builds towards a derivation of three-body analytic waveforms.The motion of three bodies can be solved perturbatively when a tightly bound inner binary is orbited by a distant perturber, giving rise, for example, to the well-known Kozai-Lidov oscillations. We propose to study the relativistic hierarchical three-body orbits by adapting the effective field theory techniques used in the two-body problem. This allows us to conveniently treat the inner binary as an effective point particle, thus reducing the complexity of the three-body problem to a simpler spinning two-body motion. We present in detail the mapping between the inner binary osculating elements and the resulting spin of the effective point particle. Our study builds towards a derivation of three-body analytic waveforms

Effective Field Theory for the perturbations of a slowly rotating black hole

We develop the effective theory for perturbations around black holes with scalar hair, in two directions. First, we show that the scalar-Gauss-Bonnet theory, often used as an example exhibiting scalar black hole hair, can be deformed by galileon operators leading to order unity changes to its predictions. The effective theory for perturbations thus provides an efficient framework for describing and constraining broad classes of scalar-tensor theories, of which the addition of galileon operators is an example. Second, we extend the effective theory to perturbations around an axisymmetric, slowly rotating black hole, at linear order in the black hole spin. We also discuss the inclusion of parity-breaking operators in the effective theory.We develop the effective theory for perturbations around black holes with scalar hair, in two directions. First, we show that the scalar-Gauss-Bonnet theory, often used as an example exhibiting scalar black hole hair, can be deformed by galileon operators leading to order unity changes to its predictions. The effective theory for perturbations thus provides an efficient framework for describing and constraining broad classes of scalar-tensor theories, of which the addition of galileon operators is an example. Second, we extend the effective theory to perturbations around an axisymmetric, slowly rotating black hole, at linear order in the black hole spin. We also discuss the inclusion of parity-breaking operators in the effective theory

Black hole superradiance with dark matter accretion

Studies of black hole superradiance often focus on the growth of a cloud in isolation, accompanied by the spin-down of the black hole. In this paper, we consider the additional effect of the accretion of matter and angular momentum from the environment. We show that, in many cases, the black hole evolves by drifting along the superradiance threshold, in which case the evolution of its parameters can be described analytically or semianalytically. We quantify the conditions under which accretion can serve as a mechanism to increase the cloud-to-black hole mass ratio, beyond the standard maximum of about 10%. This occurs by a process we call oversuperradiance, whereby accretion effectively feeds the superradiance cloud, by way of the black hole. We give two explicit examples: accretion from a vortex expected in wave dark matter and accretion from a baryonic disk. In the former case, we estimate the accretion rate by using an analytical fit to the asymptotic behavior of the confluent Heun function. Level transition, whereby one cloud level grows while the other shrinks, can be understood in a similar way

Relaxing the cosmological constant: a proof of concept

We propose a technically natural scenario whereby an initially large cosmological constant (c.c.) is relaxed down to the observed value due to the dynamics of a scalar evolving on a very shallow potential. The model crucially relies on a sector that violates the null energy condition (NEC) and gets activated only when the Hubble rate becomes sufficiently small — of the order of the present one. As a result of NEC violation, this low-energy universe evolves into inflation, followed by reheating and the standard Big Bang cosmology. The symmetries of the theory force the c.c. to be the same before and after the NEC-violating phase, so that a late-time observer sees an effective c.c. of the correct magnitude. Importantly, our model allows neither for eternal inflation nor for a set of possible values of dark energy, the latter fixed by the parameters of the theory

Gravitational quantum corrections in warped supersymmetric brane worlds

Abstract We study gravitational quantum corrections in supersymmetric theories with warped extra dimensions. We develop for this a superfield formalism for linearized gauged supergravity. We show that the 1-loop effective Kähler potential is a simple functional of the KK spectrum in the presence of generic localized kinetic terms at the two branes. We also present a simple understanding of our results by showing that the leading matter effects are equivalent to suitable displacements of the branes. We then apply this general result to compute the gravity-mediated universal soft mass m 2 0 in models where the visible and the hidden sectors are sequestered at the two branes. We find that the contributions coming from radion mediation and brane-to-brane mediation are both negative in the minimal set-up, but the former can become positive if the gravitational kinetic term localized at the hidden brane has a sizable coefficient. We then compare the features of the two extreme cases of flat and very warped geometry, and give an outlook on the building of viable models

The problems and measures of sharing of science an technology resources in our country

人类经济社会发展正在经历着重大转型，科技创新的主导作用日益显著，科技资源的拥有、配置和利用方式的优劣，特别是共享程度的高低，日益成为决定国家科技强弱甚至国家兴衰的关键因素之一。因此，关于科技资源共享的研究就受到越来越多的国内外专家的关注。 第一章在理清资源、科技资源概念的基础上，界定了科技资源的内涵。指出，科技资源是进行科技活动所需要的诸投入要素，主要包括科技人力资源、科技财力资源、科技物力资源和科技信息资源四个方面。 第二章在考察共享及其相关理论的基础上，对科技资源共享作了属性判断分析，并指出科技资源共享的意义，即在于公开并整合现有的科技资源，实现科技资源的科学、高效使用和管理，使之创造...Science and technology innovation has increasingly shown its leading function with a big turn in the economic and social development of mankind society. To significantly own、better configure and equitably use，especially fully share science and technology resources is becoming increasingly key factors to influence development of national science and technology or even national overall power, so sha...学位：哲学硕士院系专业：人文学院哲学系_科学技术哲学学号：1032005130017

Running and Matching from 5 to 4 Dimensions

We study 5 dimensional grand-unified theories in an orbifold geometry by the method of effective field theory: we match the low and high energy theories by integrating out at 1-loop the massive Kaluza-Klein states. In the supersymmetric case the radius dependence of threshold effects is fixed by the rescaling anomalies of the low energy theory. We focus on a recently proposed SU(5) model on $M^4 \times S^1/(Z_2\times Z_2^\prime)$. Even though the spectrum of the heavy modes is completely known, there still are corrections to gauge unification originating from boundary couplings. In order to control these effects one has to rely on extra assumptions. We argue that, as far as gauge couplings are concerned, the predictive power of these models is similar to conventional GUTs.Comment: 15 pages, 3 figure

Quivers via anomaly chains

We study quivers in the context of matrix models. We introduce chains of generalized Konishi anomalies to write the quadratic and cubic equations that constrain the resolvents of general affine and non-affine quiver gauge theories, and give a procedure to calculate all higher-order relations. For these theories we also evaluate, as functions of the resolvents, VEV's of chiral operators with two and four bifundamental insertions. As an example of the general procedure we explicitly consider the two simplest quivers A2 and A1(affine), obtaining in the first case a cubic algebraic curve, and for the affine theory the same equation as that of U(N) theories with adjoint matter, successfully reproducing the RG cascade result.Comment: 32 pages, latex; typos corrected, published versio

Gravitational quantum corrections in warped supersymmetric brane worlds

We study gravitational quantum corrections in supersymmetric theories with warped extra dimensions. We develop for this a superfield formalism for linearized gauged supergravity. We show that the 1-loop effective Kahler potential is a simple functional of the KK spectrum in the presence of generic localized kinetic terms at the two branes. We also present a simple understanding of our results by showing that the leading matter effects are equivalent to suitable displacements of the branes. We then apply this general result to compute the gravity-mediated universal soft mass $m_0^2$ in models where the visible and the hidden sectors are sequestered at the two branes. We find that the contributions coming from radion mediation and brane-to-brane mediation are both negative in the minimal set-up, but the former can become positive if the gravitational kinetic term localized at the hidden brane has a sizeable coefficient. We then compare the features of the two extreme cases of flat and very warped geometry, and give an outlook on the building of viable models.Comment: 49 pages, LaTeX. References added, typos corrected, discussion of section 6.1 changed, conclusions unchanged. To be published in Nuclear Physics