Introductory Lectures on Quantum Field Theory: Lecture 2
(Lecture 2)
Speaker: Razvan Teodorescu
Date/Time: Friday, February 4th
Abstract: Quantum field theory (QFT) is the mathematical formulation of our current theoretical description of nature’s fundamental laws. It relates deeply to functional analysis, operator theory, Lie groups representation theory, and PDE, and is known for open problems such as the 4D Yang-Mills Millenium problem.
The presentation will introduce the main elements of QFT by reviewing Einstein’s postulates of special relativity, irreducible representations of the Poincare group, the Pauli-Lubanski theorem and classification of free fields, Emmy Noether’s theorem, internal symmetry groups, minimal connections and gauge theory, leading to the derivation of the action functionals for electro-weak and QCD theories.
The continuation would require a detour through Gaussian random field theory and the Feynman-Kac theorem, before returning via Wick calculus to QFT, ’t Hooft-Veltman dimensional regularization, the Migdal-Kadanoff renormalization (semi)group and Feynman diagrammatic expansions for standard applications such as the Lamb precession, CPT theorem, asymptotic freedom and the Goldstone-Higgs theorem.
Видео Introductory Lectures on Quantum Field Theory: Lecture 2 канала USF GradMath
Speaker: Razvan Teodorescu
Date/Time: Friday, February 4th
Abstract: Quantum field theory (QFT) is the mathematical formulation of our current theoretical description of nature’s fundamental laws. It relates deeply to functional analysis, operator theory, Lie groups representation theory, and PDE, and is known for open problems such as the 4D Yang-Mills Millenium problem.
The presentation will introduce the main elements of QFT by reviewing Einstein’s postulates of special relativity, irreducible representations of the Poincare group, the Pauli-Lubanski theorem and classification of free fields, Emmy Noether’s theorem, internal symmetry groups, minimal connections and gauge theory, leading to the derivation of the action functionals for electro-weak and QCD theories.
The continuation would require a detour through Gaussian random field theory and the Feynman-Kac theorem, before returning via Wick calculus to QFT, ’t Hooft-Veltman dimensional regularization, the Migdal-Kadanoff renormalization (semi)group and Feynman diagrammatic expansions for standard applications such as the Lamb precession, CPT theorem, asymptotic freedom and the Goldstone-Higgs theorem.
Видео Introductory Lectures on Quantum Field Theory: Lecture 2 канала USF GradMath
Показать
Комментарии отсутствуют
Информация о видео
Другие видео канала
Weyl's law and hearing the area of a drum
The Essentials of Viscosity Solutions in R^n III
Primes of the form p = x^2 + n*y^2
Martingales and Stopping Times II
Derivation of Nonlinear Schrödinger Equation From Approximation of Maxwell's Equations
Stochastic Games for PDE
The Essentials of Viscosity Solutions in R^n
Differentiation in real topological vector spaces
Asymptotic Methods in Analysis
A Brief Introduction to Lamplighter Groups and Diestel-Leader Graphs
Covid-19 Spreading: An Eigenvalue Viewpoint
Martingales and Stopping Times, Part I
Methods of nonlinear equations in the theory of algebraic geometry II
Introduction to Matroids
Introduction to Probability Theory
Extremal Graph Theory and the Problem of Zarankiewicz: Part 1
An Introduction to Coding Theory
Complex dynamics: Julia set generated from a family of quadratic functions
A survey of equilibrium in the plane
Introduction to Probability Theory II