Asymptotic Conformal Invariance of SU(2) and Standard Models in Curved Space-time

The asymptotic conformal invariance of some SU(2) model and Standard Model in curved space-time are investigated. We have examined the conditions for asymptotic conformal invariance for these models numerically.Comment: 13 pages, Revtex3.

To Cut Pay or Lay Off: Exploring a Vexing HR Challenge

Key Findings: In today’s turbulent business environment the need to reduce payroll costs can arise at any time. Generally, this means resorting to one of two agonizing options: cutting pay or engaging in layoffs. The challenge, of course, is to select the option that meets the firm’s financial needs while minimizing the potential downsides involved. Several studies have examined the negative effects of cutbacks on employees. The results of these studies are of limited value to decision-makers, however, since overwhelmingly they focus either on pay cuts or on layoffs while making no attempt to compare the two. Here we report on a series of three studies that extends previous research in a couple of ways. Initially, by examining pay cuts versus layoffs to test their comparative effects. And then by explicitly considering the ways in which these effects vary depending on the context in which they are executed

On the potential functions for a link diagram

For an oriented diagram of a link $L$ in the 3-sphere, Cho and Murakami defined the potential function whose critical point, slightly different from the usual sense, corresponds to a boundary parabolic $\mathrm{PSL}(2,\mathbb{C})$-representation of $\pi_1(S^3 \setminus L)$. They also showed that the volume and Chern-Simons invariant of such a representation can be computed from the potential function with its partial derivatives. In this paper, we extend the potential function to a $\mathrm{PSL}(2,\mathbb{C})$-representation that is not necessarily boundary parabolic. Under a mild assumption, it leads us to a combinatorial formula for computing the volume and Chern-Simons invariant of a $\mathrm{PSL}(2,\mathbb{C})$-representation of a closed 3-manifold.Comment: 22 page

Conformally Coupled Induced Gravity with Gradient Torsion

It is found that conformally coupled induced gravity with gradient torsion gives a dilaton gravity in Riemann geometry. In the Einstein frame of the dilaton gravity the conformal symmetry is hidden and a non-vanishing cosmological constant is not plausible due to the constraint of the conformal coupling.Comment: 8pages, LaTeX, no figure, to be appeared in PR

Photoelectrochemical ion concentration polarization : a microfluidic ion filtration system using light-driven electrochemical reactions

We report an ion separation or filtration method used in microchannel called photoelectrochemical ion concentration polarization (pICP). As a variant of faradaic ion concentration polarization (fICP), pICP utilizes TiO₂ photoelectrochemistry to form an ion depletion zone (IDZ) with light. A microfluidic device with TiO₂ photoanode and Pt cathode generated IDZ near the cathode by generating a corresponding electrochemical reaction. Local electric field near the cathode was amplified with TiO₂ irradiation. Furthermore, on-chip solution conductivity measurement confirmed decrease in ion concentration as a consequence of pICP ion filtration.Chemistr