Tunneling of massive particles from noncommutative inspired Schwarzschild black hole

We apply the generalization of the Parikh–Wilczek method to the tunneling of massive particles from noncommutative inspired Schwarzschild black holes. By deriving the equation of radial motion of the tunneling particle directly, we calculate the emission rate which is shown to be dependent on the noncommutative parameter besides the energy and mass of the tunneling particle. After equating the emission rate to the Boltzmann factor, we obtain the modified Hawking temperature which relates to the noncommutativity and recovers the standard Hawking temperature in the commutative limit. We also discuss the entropy of the noncommutative inspired Schwarzschild black hole and its difference after and before a massive particle’s emission.     

Repulsive gravity near naked singularities and point massive particles

We summarize the parallel session B4: ‘Analytic approximations, perturbation theory, effective field theory methods and their applications’ and the joint session B2/B4: ‘Approximate solutions to Einstein equations: Methods and Applications’, of the GR20 & Amaldi10 conference in Warsaw, July 2013. The contributed talks reported significant advances on various areas of research in gravity.     

Gravitational waves and massive tensor particles in thef-g theory of gravity

Starting from the generally covariant version of the Pauli-Fierz mass term, it is stressed that the tensor fields representing spin-2 particles, eigenstates of strong and gravitational interactions, are linear combinations of one massive and one massless state. This implies that any hadronic reaction, in which massive tensor particles are produced, can be regarded, at least in principle, also as an effective source of gravitons which may become very important in the early stages of the universe; conversely, any process in which gravitational radiation of sufficiently high energy is emitted, should be a source of strongly interacting tensor particles which decay into photons and neutrinos. These two effects could be used for producing and detecting gravitational waves.This essay was awarded an honorable mention (1985) by the Gravity Research Foundation—Ed.     

Gravitational divergences of the electromagnetic interactions of massive vector particles

In a search for the explanation of the finite quantum gravity corrections to anomalous moments we examined a spontaneous broken O(3) model with Yang-Mills particles and Higgs scalars coupled to gravitons. We found several new cancellations which prove that the coupling of all these particles together does not produce new counterterms apart from these which are known to exist in the subsystems and the cosmological term. The finiteness of the anomalous magnetic moment of a massive spin-1 particle is necessary for this to be valid. The finiteness of the anomalous quadrupole moment is a consequence of a known cancellation in the Einstein-Yang-Mills system. We also checked infrared finiteness and showed how to treat logarithmically divergent massless integrals in dimensional regularization.     

大尺寸SiO2胶体颗粒的重力沉降自组装研究

采用两步法合成了直径分别为782，977，1027，1160和1324nm的SiO2胶体颗粒，透射电子显微镜显示颗粒尺寸的平均标准偏差小于5％.具有较好的单分散性.通过调节SiO2胶体颗粒悬浮液中介质粘度的方法，拓宽了重力沉降自组装的尺寸范围，得到了颗粒直径为700—1300nm的合成蛋白石 ，扫描电子显微镜图像显示它们为面心立方结构，透射谱表征显示它们具有一定的光子带隙. 关键词： SiO2胶体颗粒 重力沉降自组装 合成蛋白石 光子带隙     

Topologically massive AdS gravity

We analyze (2+1)$(2+1)$-dimensional gravity with a Chern–Simons term and a negative cosmological constant, primarily at the weak field level. The full theory is expressible as the sum of two higher derivative SL(2,R)$\mathrm{SL}(2,\mathbb{R})$ “vector” Chern–Simons terms, while the physical bulk degrees of freedom correspond to a single massive scalar field, just as for Λ=0$\Lambda =0$. The interplay of Λ and the mass parameter μ can be studied, and any physical mass—including the conformal value with null propagation—is accessible by tuning μ. The single bulk mode yields a complete set of normalizable positive energy wave packets, as long as one chooses the usual, “wrong” sign of G   necessary to connect smoothly with the known Λ=0$\Lambda =0$ limit. The chiral Chern–Simons coupling leads to gauge invariant linearized curvatures propagating with chirality-dependent masses. Linearized metric fluctuations have a finite asymptotic Fefferman–Graham expansion about the Poincaré metric for any mass value greater or equal to a “critical” one, where various amusing effects appear, such as vanishing of one of the two “vector” Chern–Simons terms and an equivalence between tensor and vector excitations. We also find a set of chiral, pp-wave metrics that exactly solve the full nonlinear equations.     

Deposition of particles under gravity in a kinetic lattice model

We study the growth through particle deposition of the surface of a discrete two-dimensional system, in which the motion of particles is affected by infinite gravity and the Kob-Andersen kinetic rule. Computer simulation results are found to be consistent with previous results in literature, showing that this particular case belongs to the same universality class as Ballistic Deposition, the Eden model, one step solid-on-solid (SOS) deposition and Kardar-Parisi-Zhang (KPZ) characterized by scaling exponents α=0.5, β=1/3=0.33 and z=α/β=1.5.     

Relativistic quantum theory for charged spinless particles in external vector fields

Guided by a diagonalized form of the classical field-energy we construct a time-dependent canonical pair of Schrödinger fields _t (x) and _t (x) which diagonalizes the field-HamiltonianH _t . These Schrödinger fields in general belong to inequivalent representations of the canonical commutation relations for differentt's.The Heisenberg field is constructed by solving the Heisenberg equation of motion and its time-evolution turns out to be governed by a unitary operator, i.e. the Heisenberg fields at different times are unitarily equivalent.Scattering theory (including eventual incoming and/or outgoing bound-states) is finally constructed.     

New massive gravity domain walls

The properties of the asymptotic AdS₃${\mathit{AdS}}_3$ space–times representing flat domain walls (DW's) solutions of the new massive 3D gravity with scalar matter are studied. Our analysis is based on first order BPS-like equations involving an appropriate superpotential. The Brown–York boundary stress-tensor is used for the calculation of DW's tensions as well as of the CFT₂${\mathit{CFT}}_2$ central charges. The holographic renormalization group flows and the phase transitions in specific deformed CFT₂${\mathit{CFT}}_2$ dual to 3D massive gravity model with quadratic superpotential are discussed.     

Continuum-regularized quantum gravity

The recent continuum regularization ofd-dimensional Euclidean gravity is generalized to arbitrary power-law measure and studied in some detail as a representative example of coordinate-invariant regularization. The weak-coupling expansion of the theory illustrates a generic geometrization of regularized Schwinger-Dyson rules, generalizing previous rules in flat space and flat superspace. The rules are applied in a non-trivial explicit check of Einstein invariance at one loop: The cosmological counterterm is computed and its contribution is included in a verification that the graviton mass is zero.     

Instantaneous interaction in massive gravity

In general relativity, the instantaneous contributions to the gravitational potentials cancel each other in observable, leaving the theory free of physical instantaneous interactions. In models where these subtle cancellations are spoiled by the presence of fields that break Lorentz invariance, physical instantaneous interactions are possible. Such interactions are studied for a model of Lorentz-violating massive gravity.