1999/10/16 by Takanori Fujiwara, Hiroshi Suzuki, Fujiwara, Takanori +3
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.hep-lat/9910030
openalex publication_date 1999/10/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The chiral anomaly in lattice abelian gauge theory is investigated by applying the geometric and topological method in noncommutative differential geometry(NCDG). A new kind of double complex and descent equation are proposed on infinite hypercubic lattice in arbitrary even dimensional Euclidean space, in the framework of NCDG. Using the general solutions to proposed descent equation, we derive the chiral anomaly in Abelian lattice gauge theory. The topological origin of anomaly is nothing but the Chern classes in NCDG.