Titlebook: Noncommutative Differential Geometry and Its Applications to Physics; Proceedings of the W Yoshiaki Maeda,Hitoshi Moriyoshi,Satoshi Watamur

光滑

Collected

Dictation

978-94-010-3829-4Springer Science+Business Media Dordrecht 2001

Commentary

Noncommutative Differential Geometry and Its Applications to Physics978-94-010-0704-7Series ISSN 0921-3767 Series E-ISSN 2352-3905

水槽

Application of Noncommutative Differential Geometry on Lattice to Anomaly Analysis in Abelian Lattiex and descent equation is proposed on an infinite hypercubic lattice in arbitrary even-dimensional Euclidean space in the framework of NCDG. By using the general solutions of descent equation, we derive the chiral anomaly in Abelian lattice gauge theory. The topological origin of the anomaly is nothing but the Chern classes in NCDG.

insurgent

拾落穗

An Interpretation of the Schouten-Nijenhuis Bracket,it is a very popular and useful tool in Poisson geometry. In this note we observe that the bracket has a very natural and simple notion in its root, namely, skew-symmetry and the Leibniz’ rule. We then give an easy proof for the super Jacobi identity of the Schouten-Nijenhuis bracket.

sterilization

painkillers

Singular Systems of Exponential Functions,enomenas different from formal deformation quantization by studying the convergence of the parameter in computing the product of the exponential functions of the quadratic form. In the case of deformation quantization with the positive real parameters, the associativity for the Moyal product fails for a wider class of functions.

Matrimony