Quantum Field Theory and Differential Geometry
نویسنده
چکیده
We introduce the historical development and physical idea behind topological Yang-Mills theory and explain how a physical framework describing subatomic physics can be used as a tool to study differential geometry. Further, we emphasize that this phenomenon demonstrates that the interrelation between physics and mathematics have come into a new stage.
منابع مشابه
Lattice-Plasmon Quantum Features
in this work, some of the lattice plasmon quantum features are examined. Initially, the interaction of the far-field photonic mode and the nanoparticle plasmon mode is investigated. We probe the optical properties of the array plasmon that are dramatically affected by the array geometry. It is notable to mention that the original goal of this work is to examine the quantum feature of the array ...
متن کاملSupersymmetric Quantum Theory and ( Non - Commutative ) Differential Geometry
In this paper we describe an approach to differential topology and geometry rooted in supersymmetric quantum theory. We show how the basic concepts and notions of differential geometry emerge from concepts and notions of the quantum theory of non-relativistic particles with spin, and how the classification of different types of differential geometry follows the classification of supersymmetries...
متن کاملar X iv : h ep - p h / 94 11 25 4 v 1 9 N ov 1 99 4 Anomalies in Quantum Field Theory : Dispersion Relations and Differential Geometry
We present two different aspects of the anomalies in quantum field theory. One is the dispersion relation aspect, the other is differential geometry where we derive the Stora–Zumino chain of descent equations. *) Lecture given at the conference " QCD 94 " , Montpellier, France. Supported by Fonds zur Förderung der wissenschaftlichen Forschung, Project No. P8444–TEC.
متن کاملQuantum Geometry of Field Extensions
We show that noncommutative differential forms on k[x], k a field, are of the form Ω1 = kλ[x] where kλ ⊇ k is a field extension. We compute the case C ⊃ R explicitly, where Ω1 is 2-dimensional. We study the induced quantum de Rahm complex Ω and its cohomology associated to a field extension, as well as gauge theory.
متن کاملDifferential Geometrical Formulation of Gauge Theory of Gravity
Differential geometric formulation of quantum gauge theory of gravity is studied in this paper. The quantum gauge theory of gravity which is proposed in the references hep-th/0109145 and hep-th/0112062 is formulated completely in the framework of traditional quantum field theory. In order to study the relationship between quantum gauge theory of gravity and traditional quantum gravity which is ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008