Non-commutative geometry, multiscalars, and the symbol map
نویسندگان
چکیده
منابع مشابه
Non - Commutative Geometry , Multiscalars , and the Symbol Map 1
Starting from the concept of the universal exterior algebra in non-commutative differential geometry we construct differential forms on the quantum phase-space of an arbitrary system. They bear the same natural relationship to quantum dynamics which ordinary tensor fields have with respect to classical hamiltonian dynamics.
متن کاملNon-commutative Algebraic Geometry
0 Introduction This is a reasonably faithful account of the ve lectures I delivered at the summer course \Geometria Algebraica no Commutativa y Espacios Cuanti-cos" for graduate students, in Spain, July 25{29, 1994. The material covered was, for the most part, an abridged version of Artin and Zhang's paper 2]. Fix a eld k. Given a Z-graded k-algebra, A say, which for simplicity is assumed to be...
متن کاملNon-commutative geometry and irreversibility
A kinetics built upon q-calculus, the calculus of discrete dilatations, is shown to describe diffusion on a hierarchical lattice. The only observable on this ultrametric space is the “quasi-position” whose eigenvalues are the levels of the hierarchy, corresponding to the volume of phase space available to the system at any given time. Motion along the lattice of quasi-positions is irreversible....
متن کاملNon-Commutative Geometry and the Strong Force
The restrictions imposed on the strong force in the ‘non-commutative standard model’ are examined. It is concluded that given the framework of non-commutative geometry and assuming the electroweak sector of the standard model many details of the strong force can be explained including its vectorial nature. PACS-92: 11.15 Gauge field theories MSC-91: 81E13 Yang-Mills and other gauge theories sep...
متن کاملGravity in Non-Commutative Geometry
We study general relativity in the framework of non-commutative differential geometry. In particular, we introduce a gravity action for a space-time which is the product of a four dimensional manifold by a two-point space. In the simplest situation, where the Riemannian metric is taken to be the same on the two copies of the manifold, one obtains a model of a scalar field coupled to Einstein gr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 1996
ISSN: 0920-5632
DOI: 10.1016/0920-5632(96)00353-2