M392c Notes: Applications of Quantum Field Theory to Geometry
نویسنده
چکیده
1. Donaldson invariants and supersymmetric Yang-Mills theory: 8/31/17 1 2. Zero-dimensional QFT and Feynman diagrams: 9/5/17 5 3. A Little Effective Field Theory: 9/7/17 9 4. Supersymmetry in zero dimensions: 9/12/17 13 5. Localization in supersymmetry: 9/14/17 17 6. One-dimensional QFT: 9/19/17 20 7. Local observables: 9/21/17 24 8. The harmonic oscillator and some partition functions: 9/26/17 27 9. Symmetries and effective field theory in 1D QFT: 9/28/17 30
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 کاملNotes on Noncommutative Geometry
Noncommutative geometry has roots in and is a synthesis of a number of diverse areas of mathematics, including: • Hilbert space and single operator theory; • Operator algebras (C*-algebras and von Neumann algebras); • Spin geometry – Dirac operators – index theory; • Algebraic topology – homological algebra. It has certainly also been inspired by quantum mechanics, and, besides feedback to the ...
متن کاملLectures on topological field theories
These lecture notes cover my talks at the June 2009 “Geometry of Quantum Fields and Strings” summer school at the University of Pennsylvania. I begin by giving a very brief introduction to quantum field theory, quickly moving to nonlinear sigma models and the associated A and B model topological field theories, and the physical realization of derived categories. Later lectures will cover Landau...
متن کاملNotes on Topological Quantum Field Theory
These notes are meant to provide an introduction to topological quantum field theory for mathematicians. Topics include applications of Chern-Simons theory to the study of knots and Atiyah’s definition of a topological quantum field theory. We also include a self-contained introduction to Yang-Mills theory for physical motivation.
متن کاملAsymptotic Safety, and Quantum Einstein Gravity∗
These lecture notes provide a pedagogical introduction to a specific continuum implementation of the Wilsonian renormalization group, the effective average action. Its general properties and, in particular, its functional renormalization group equation are explained in a simple scalar setting. The approach is then applied to Quantum Einstein Gravity (QEG). The possibility of constructing a fund...
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 2017