Reply to ``Comment on `Properties of the massive Thirring model from the XYZ spin chain' "

We elaborate in more details why lattice calculation in [Kolanovic et al, Phys. Rev. D 62, 025021 (2000)] was done correctly and argue that incresing the number of sites is not expected to change our conclusions on the mass spectrum.Comment: 2 pages, revtex 4, to be published in Phys. Rev.

Conformal entropy for generalised gravity theories as a consequence of horizon properties

We show that microscopic entropy formula based on Virasoro algebra follows from properties of stationary Killing horizons for Lagrangians with arbitrary dependence on Riemann tensor. The properties used are consequence of regularity of invariants of Riemann tensor on the horizon. Eventual generalisation of these results to Lagrangians with derivatives of Riemann tensor, as suggested by an example treated in the paper, relies on assuming regularity of invariants involving derivatives of Riemann tensor. This assumption however leads also to new interesting restrictions on metric functions near horizon.Comment: 9 pages, appendix adde

Conformal entropy and stationary Killing horizons

Using Virasoro algebra approach, black hole entropy formula for a general class of higher curvature Lagrangians with arbitrary dependence on Riemann tensor can be obtained from properties of stationary Killing horizons. The properties used are a consequence of regularity of invariants of Riemann tensor on the horizon. As suggested by an example Lagrangian, eventual generalisation of these results to Lagrangians with derivatives of Riemann tensor, would require assuming regularity of invariants involving derivatives of Riemann tensor and that would lead to additional restrictions on metric functions near horizon

On Bethe strings in the two-particle sector of the closed SU(2)qSU(2)_{q} invariant spin chain

In this paper we investigate complex solutions of the Bethe equations in the two-particle sector both for arbitrary finite number of sites and for the thermodynamic limit . We find the number of complex solutions (strings) and compare it with the string conjecture prediction. Some simple properties of these solutions like position in the spectrum, crossing of levels, connection to the ground state and transformation to the real solutions are discussed. Counting both real and complex solutions we find expected number of highest weight Bethe states

Применение импульсных электронных пучков в качестве дезинфицирующего агента при обработке сточных вод

Background and Objective: Concerning current clinical practice, laser-assisted lipoplasty is still secondary to other procedures. In order to evaluate effects of thermal interaction with fatty-tissue, a near infrared diode laser was examined under reproducible conditions. Methods: Based on optical spectroscopy of fatty-tissue, a high-powered diode laser (lambda = 940 nm) was used to irradiate n = 59 fat samples of fresh corpses in non-contact mode. Thermal effects were histologically evaluated by computer based metric measurements. Calculated values included ablation rate (AR) and the ratio of cavity diameter to diameter of collateral damage (CCDratio). Pearson's correlation and analysis of covariance (ANCOVA) were used for statistical evaluation. P values of less than 0.05 were considered to indicate statistical significance. Results: Regarding the conditions examined, irradiances from 250 to 400 W/cm(2) revealed both increased ablation capacities and decreased collateral damages. An average irradiance of 370 +/- 0 W/cm(2) shows an average CCDratio of 2:1 and an average AR of 9.98 +/- 7.65 mm(3)/second. Conclusion: Near infrared high-powered diode laser energy proved to be eligible for tissue protective ablation of fat in vitro. Further studies are necessary to improve efficiency and safety of this procedure

SUSY a consequence of smoothness?

The consequences of certain simple assumptions like smoothness of ground state properties and vanishing of the vacuum energy (at least perturbatively) are explored. It would be interesting from the point of view of building realistic theories to obtain these properties without supersymmetry. Here we show, however, at least in some quantum mechanical models, that these simple assumptions lead to supersymmetric theories.Comment: 26 pages; revised version of paper (November 15 2000