Mathematical Derivation of Chiral Anomaly in Lattice Gauge Theory with Wilson's Action

Chiral U(1) anomaly is derived with mathematical rigor for a Euclidean fermion coupled to a smooth external U(1) gauge field on an even dimensional torus as a continuum limit of lattice regularized fermion field theory with the Wilson term in the action. The present work rigorously proves for the first time that the Wilson term correctly reproduces the chiral anomaly.Comment: 33 pages, LaTe

Restoration of isotropy on fractals

We report a new type of restoration of macroscopic isotropy (homogenization) in fractals with microscopic anisotropy. The phenomenon is observed in various physical setups, including diffusions, random walks, resistor networks, and Gaussian field theories. The mechanism is unique in that it is absent in spaces with translational invariance, while universal in that it is observed in a wide class of fractals.Comment: 11 pages, REVTEX, 3 postscript figures. (Compressed and encoded figures archived by "figure" command). To appear in Physical Review Letter

マウス運動神経末端における伝達物質遊離に対する塩化第一スズおよび塩化第二スズの作用

Stannous chloride (SnCl_2) is thought to facilitate the transmitter release from the motor nerve terminals. Stannous ions tend to become oxidized to stannic ions (Sn^) in the presence of water and oxygen. Therefore, the results seen with SnCl_2 until now might reflect the properties of Sn^. In the present study, to ascertain whether SnCl_2 facilitates the transmitter release from mouse motor nerve terminals, we compared the effects of stannic chloride (SnCl_4) on the miniature endplate potential (m. e. p. p.) frequency and the quantal content of the endplate potential (e. p. p.) with those of SnCl_2. We statistically analyzed the mean values of the differences of SnCl_2 (30μM) from its control and of SnCl_4 (30μM) from its control. There were significant differences between the two, both in the m. e. p. p. frequency and in the quantal content. The results obtained demonstrate that the actions of Sn^ are not involved in the effects shown by SnCl_2. We conclude that SnCl_2 facilitates the transmitter release from mouse motor nerve terminals

ラット神経筋伝達に対する塩化第一スズの作用

Stannous chloride (SnCl_2) facilitates frog neuromuscular transmission. Effects of SnCl_2 on the neuromuscular junction of the rat have been investigated to determine whether mammalian responses to SnCl_2 are the same as those of amphibians. SnCl_2 (30 μM) had no effect on the resting potential or the membrane resistance of the muscle fiber. SnCl_2 did not change the amplitude of the endplate potential. SnCl_2 significantly raised the frequency of the miniature endplate potential in the high potassium-medium. SnCl_2 decreased the amplitude of the miniature endplate potential. These results suggest that SnCl_2 may facilitate the transmitter release from the nerve terminals, but it may reduce the acetylcholine sensitivity of the endplate in the rat

Vertical distribution of size fractionated phytoplankton chlorophyll in the Indian sector of the Southern Ocean in summer(1985/86)

During the icebreaker SHIRASE cruise of the 27th Japanese Antarctic Research Expedition (JARE-27; 1985/86), vertical profiles of phytoplankton chlorophyll a concentration in the upper 200m of the water column were observed at 12 stations in the Southern Ocean and at 3 stations in the subtropical water from December 1985 to March 1986. High phytoplankton chlorophyll standing crops (ca. 370mg m^ in December and 330mg m^ in February) were observed in Breid Bay, Antarctica. In other stations of the Antarctic Ocean, the standing crops were less than 52mg m^. Size fractionation studies revealed that net-phytoplankton (>20μm) was the dominant fraction of total chlorophyll a during the summer bloom in Breid Bay. In Antarctic waters, the high contributions of the net-phytoplankton fraction corresponded to high total biomass. And also, contribution of the net-phytoplankton to the total phytoplankton was supposed to be controlled by the length of the ice-free period. Considering the high phytoplankton growth rates under the nutrient rich condition, duration under optimum light condition and water stability appear to be important factors affecting the phytoplankton crops in the Antarctic Ocean in summer

Rectification of Digitized Aerial Photographic Image

A practical example of digital rectification of tilted photographs using a drum scanning micro densitometer and general purpose computers is depicted. The present research covers rectification of projective distorsions, occuring when the camera axis is not truly vertical, and affine distorsions due to curvature of a drum of a scanner. For this purpose, fundamental mathematical expressions were derived. And some pixel interpolation methods necessary for image reconstruction were compared experimentally. The examples revealed, however, that the film was deformed so complexly that they could not be corrected sufficiently only by affine transformation. Accuracy of rectification was checked by use of stereo aerial photographs in terms of residual y-parallaxes. The result showed residual y-parallaxes of ± 1 pixel (± 50 μm) and sometimes ± 2 pixels were observed. They seem to be caused mainly by film deformations which have not been eliminated, and their amount seems to exceed the photogrammetric tolerance

Horikawa Sen-Nin Chosatai(HSC) (Horikawa River Thousand-Citizen Survey Network 2010)

Source: ICHE Conference Archive - https://mdi-de.baw.de/icheArchiv

Development of super broadband interferometer in FIR

We are developing the super broad band interferometer by applying the Fourier Transform Spectrometer(FTS) to aperture synthesis system in mm and sub-mm bands. We have constructed a compact system based on the Martin and Puplett type Fourier Transform spectrometer (MP-FT). We call this equipment Multi-Fourier Transform interferometer (MuFT). The band width of the system can be extended as large as one wants contrary to the severely limited band width of the usual interferometer due to the speed of the AD converter. The direct detectors, e.g. bolometer, SIS video detector, can be used as the focal plane detectors. This type of detectors have a great advantage in FIR band since they are free from the quantum limit of the noise which limits the sensitivity of the heterodyne detectors used in the usual interferometers. Further, the direct detectors are able to make a large format array contrary to the heterodyne detectors for which construction of a large format array is practically difficult. These three characteristics make one be possible to develop high sensitive super broad band FIR interferometer with wide field of view. In the laboratory experiments, we have succeeded in measuring the spectroscopically resolved 2D image of the source in 150GHz-900GHz band. The future application of this technique to the observations from the space could open new interesting possibilities in FIR astronomy.Comment: 9 pages, presented at the Glasgow SPIE conference "Optical, Infrared, and Millimeter Space Telescopes", to appear in Proc. SPIE, vol. #5487-20