Axiomatic quantum field theory

Axiomatic quantum field theory

Axiomatic quantum field theory is a mathematical discipline which aims to describe quantum field theory in terms of rigorous axioms. It is strongly associated with functional analysis and operator algebras, but has also been studied in recent years from a more geometric and functorial perspective. There are two main challenges in this discipline. First, one must propose a set of axioms which describe the general properties of any mathematical object that deserves to be called a "quantum field theory". Then, one gives rigorous mathematical constructions of examples satisfying these axioms. (Wikipedia).

Video thumbnail

What are Quantum Fields? | Introduction to Quantum Field Theory

In this video, we will discuss what makes a quantum field "quantum" and give a soft introduction to quantum field theory. Contents: 00:00 Introduction 03:00 Quantization 05:36 Appendix Follow us on Instagram: https://www.instagram.com/prettymuchvideo/ If you want to help us get rid of

From playlist Quantum Mechanics, Quantum Field Theory

Video thumbnail

Quantum Field Theory 2a - Field Quantization I

In the previous video we saw how the quantum harmonic oscillator provides a model system in which we can describe the creation and destruction of energy quanta. In 1925 Born, Heisenberg and Jordan presented a way to apply these ideas to a continuous field. (Note: My voice is lower and slow

From playlist Quantum Field Theory

Video thumbnail

Quantum field theory, Lecture 2

This winter semester (2016-2017) I am giving a course on quantum field theory. This course is intended for theorists with familiarity with advanced quantum mechanics and statistical physics. The main objective is introduce the building blocks of quantum electrodynamics. Here in Lecture 2

From playlist Quantum Field Theory

Video thumbnail

Quantum field theory, Lecture 1

*UPDATE* Lecture notes available! https://github.com/avstjohn/qft Many thanks to Dr. Alexander St. John! This winter semester (2016-2017) I am giving a course on quantum field theory. This course is intended for theorists with familiarity with advanced quantum mechanics and statistical p

From playlist Quantum Field Theory

Video thumbnail

Quantum Theory - Full Documentary HD

Check: https://youtu.be/Hs_chZSNL9I The World of Quantum - Full Documentary HD http://www.advexon.com For more Scientific DOCUMENTARIES. Subscribe for more Videos... Quantum mechanics (QM -- also known as quantum physics, or quantum theory) is a branch of physics which deals with physica

From playlist TV Appearances

Video thumbnail

Quantum Field Theory 5c - Classical Electrodynamics III

We end with a derivation of the classical interaction Hamiltonian for a charged particle moving in an electromagnetic field. There is a lot of "turn the crank" math in this installment, but the final result will be key to our continued development of quantum field theory.

From playlist Quantum Field Theory

Video thumbnail

Quantum Mechanics 1.1: Introduction

In this video I provide some motivation behind the development of quantum mechanics, kicking off a new series on everything you've been wondering about quantum mechanics! Twitter: https://twitter.com/SciencePlease_

From playlist Quantum Mechanics

Video thumbnail

Wolfram Physics Project: a Conversation on Current Work (Jan. 26, 2021)

This is a Wolfram Physics Project conversation on our continuing efforts to make progress on the fundamental theory of physics. Begins at 3:00 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Ch

From playlist Wolfram Physics Project Livestream Archive

Video thumbnail

Quantum Field Theory 3a - Photons I

In this video we apply the theory we developed in videos 1 & 2, along with some ideas from electromagnetic theory, to develop a rigorous theory of photons.

From playlist Quantum Field Theory

Video thumbnail

Sir Michael Atiyah - The Mysteries of Space [1991]

The 64th annual Gibbs Lecture was given by Sir Michael Atiyah, Fellow of the Royal Society, of Trinity College, Cambridge, England. At a conference in San Francisco, California in January 1991, he delivered "Physics and the mysteries of space", which was filmed and made available on videot

From playlist Mathematics

Video thumbnail

Frédéric Patras - Noncommutative Wick Polynomials

Wick polynomials are at the foundations of QFT (they encode normal orderings) and probability (they encode chaos decompositions). In this lecture, we survey the construction and properties of noncommutative (or free) analogs using shuffle Hopf algebra techniques. Based on joint works wit

From playlist Combinatorics and Arithmetic for Physics: special days

Video thumbnail

Wolfram Science Initiatives Update (September 15, 2022)

Join Stephen Wolfram as he discusses updates on the Physics Project, the Ruliad, Multicomputation, and Metamathematics! If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfr

From playlist Science and Research Livestreams

Video thumbnail

Wolfram Physics Project: Axiomatization of the Computational Universe Tuesday, Feb. 16, 2021

This is a Wolfram Physics Project working session about the axiomatization of the Computational Universe. Begins at 1:36 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announceme

From playlist Wolfram Physics Project Livestream Archive

Video thumbnail

Quantum Mathematics and the Fate of Space, Time and Matter - Robbert Dijkgraaf

The elementary particles that make up the bizarre quantum world not only represents a more fundamental description of nature, they also inspires a new realm of mathematics that might be called "quantum mathematics." This turns out to be a powerful tool to solve deep outstanding mathematica

From playlist Mathematics Research Center

Video thumbnail

Quantum Field Theory and Quantum Topology — Jørgen Andersen

Serious Science - http://serious-science.org Mathematician Jørgen Andersen on topological quantum field theory, path integrals, and quantization of moduli spaces http://serious-science.org/quantum-field-theory-and-quantum-topology%E2%80%A8-6301

From playlist Quantum Field Theory

Video thumbnail

Live CEOing Ep 178: Language Design in Wolfram Language

Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Language Design in the Wolfram Language.

From playlist Behind the Scenes in Real-Life Software Design

Video thumbnail

Wolfram Physics Project: Philosophical Implications & Q&A

Stephen Wolfram & Jonathan Gorard continue answering questions about the new Wolfram Physics Project, this time specifically for Philosophy implications. Begins at 3:45 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website:

From playlist Wolfram Physics Project Livestream Archive

Video thumbnail

QED Prerequisites: Field Equations - Conventions

In this lesson we lay down the notation conventions used for our introduction to the two key field equations used in elementary QED: the Klein-Gordon Equation and the Dirac Equation. These subjects are often taught at the beginning of a QED course, but we will treat them as pre-requisite c

From playlist QED- Prerequisite Topics

Video thumbnail

What IS Quantum Field Theory? (For Dummies?)

The framework in which quantum mechanics and special relativity are successfully reconciled is called quantum field theory. Heres how you can easily understand Quantum Field Theory. Support me on patreon so that i can keep on making videos! https://www.patreon.com/quantasy In theoretical

From playlist Quantum Field Theory

Video thumbnail

Lucien Hardy on quantum gravity and (apparent) paradoxes

Lucien Hardy is a theoretical physicist working at the intersection of the two pillars of modern physics – general relativity and quantum mechanics – in the quest for a single unifying theory: quantum gravity. Hardy joins co-hosts Lauren and Colin for a conversation about the puzzles that

From playlist Conversations at the Perimeter

Related pages

Wightman axioms | Analytic continuation | Conformal field theory | Functional analysis | Correlation function (quantum field theory) | Dirac–von Neumann axioms | Operator algebra