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

Velocity Structure of Jets in Coronal Hole

Velocity structures of jets in a coronal hole have been derived for the first time. Hinode observations revealed the existence of many bright points in coronal holes. They are loop-shaped and sometimes associated with coronal jets. Spectra obtained with the Extreme ultraviolet Imaging Spectrometer (EIS) on board Hinode are analyzed to infer Doppler velocity of bright loops and jets in a coronal hole of the north polar region. Elongated jets above bright loops are found to be blue-shifted by 30 km/s at maximum, while foot points of bright loops are red-shifted. Blue-shifts detected in coronal jets are interpreted as upflows produced by magnetic reconnection between emerging flux and the ambient field in the coronal hole.Comment: 11 pages, 7 figures, accepted for publication in PASJ Hinode special issu

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

Staple-line recurrence arising 10 years after functional end-to-end anastomosis for colon cancer: a case report

We report a rare case of late staple-line recurrence arising 10 years after functional end-to-end anastomosis for splenic flexure colon cancer. An 80-year-old man, who underwent partial colectomy with functional end-to-end anastomosis for splenic flexure colon cancer 10 years earlier, presented with a chief complaint of anorexia. Complete blood count showed anemia, and the fecal occult blood test was positive. Lower gastrointestinal series showed an irregular defect of the splenic flexure, and colonoscopy showed an ulcerated tumor on the staple line of the primary surgery. Partial colectomy was performed, and the tumor was pathologically diagnosed as moderately differentiated tubular adenocarcinoma, resembling the pathology of primary colon cancer. This case suggests the importance of considering staple-line recurrence after functional end-to-end anastomosis for colon cancer even more than 5 years after primary surgery