Gauge coupling renormalization in AdS5

We present the relation of the 4-dimensional low energy gauge coupling and the 5-dimensional fundamental gauge coupling of bulk gauge boson in a slice of AdS₅, which is orbifolded byZ ₂ ×Z′₂. We calculate the full 1-loop corrections for the case of generic 5-dimensional scalar, Dirac fermion, and vector fields with arbitraryZ ₂×Z′₂. For the supersymmetric case, we obtain the result more easily by using the 4-dimensional effective supergravity approach.     

Stresses in a half space due to Newtonian gravitation

An efficient general solution is obtained for the problem of the elastic half space z > 0 with a traction-free surface experiencing gravitational attraction to an arbitrarily shaped body located in z < 0. Many components of the stress field can be written down immediately if the potential of the attracting body is known. Results are given for the case of attraction to a uniform sphere.     

类矢标准模型中规范相互作用与引力的统一

提出在无轻子的超对称类矢标准模型中,在规范作用双圈修正和引力单圈弦修正下,研究规范耦合和引力之间的统一问题.结果表明,需要两个中间质量标度.其中低质量标度在未来实验室可到达的范围内,高的质量标度约为10¹⁶GeV.     

The Zero-Hamiltonian Problem in a Toy Gravity Model

In this work we present new results on the analysis of the zero-Hamiltonian problem in one-dimensional gravity working with generic gauge fixings, As an application of the methods developed by Henneaux et al. and Gitman et al. We obtain systematically the symplectic structures, effective Hamiltonians and reduced phase-space Physics, as an improvement on previous works on the subject.     

Test of the Inverse Square Law Through Precession of Orbits

Using precession of orbits due to non-Newtonian interaction between two celestial bodies and modern tracking data of satellites, planets and a pulsar we obtain new more precise limits on possible Yukawa-type deviations from the Newton law in planets (satellites) radii ranges.     

Primary Matter Creation in a Weyl–Dirac Cosmological Model

In the framework of an integrable Weyl–Dirac (W–D) theory a cosmological model is proposed. It describes a universe that began its expansion from a primary pre-Planckian geometric entity containing no matter. During the pre-Planckian period, from R ₀ =5.58×10 ^–36 cm to R_I=5.58×10 ^–34 cm, this embryonic universe has undergone a very rapid expansion and cosmic matter was created by geometry. At R_I the universe was already filled with matter having the Planckian density _P and being in the state of prematter (P=–), while the Weylian geometric elements were insignificant. This state is the Planckian egg that has served as the initial state of the singularity-free cosmological model ⁽¹⁾ considered in the framework of Einstein's general theory of relativity. The W–D character of the geometry and the cosmological constant are significant in the pre-Planckian period during the matter creation. In the dust-dominated period a relic of the W–D geometry causes a global dark matter effect. In between the pre-Planckian and dust period one has Einstein's framework and is negligible.     

Letter: Axisymmetric Vacuum Gravitation in Canonical Coordinates

In canonical coordinates, one can specify the axisymmetric solutions of Einstein's vacuum gravitation equations by assigning a generating function a(t, z) that prescribes the light speed along the axis of symmetry. To assist in the identification of those axial generators that will produce the different asymptotically flat space-times, we now examine what coordinate freedom persists in the metric, and link this to our earlier investigation of similarity solutions.