In gauge theory and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants. Although TQFTs were invented by physicists, they are also of mathematical interest, being related to, among other things, knot theory and the theory of four-manifolds in algebraic topology, and to the theory of moduli spaces in algebraic geometry. Donaldson, Jones, Witten, and Kontsevich have all won Fields Medals for mathematical work related to topological field theory. In condensed matter physics, topological quantum field theories are the low-energy effective theories of topologically ordered states, such as fractional quantum Hall states, string-net condensed states, and other strongly correlated quantum liquid states. (Wikipedia).
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
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
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
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
Physicists Edward Finn and Rodney Brooks take on the task of describing quantum field theory to laypersons without using any math. They describe the six basic quantum fields, and show how the field picture, and only the field picture, enables a true understanding of physics. Read more at
From playlist Quantum Field Theory
The Bridge Between Math and Quantum Field Theory
Even in an incomplete state, quantum field theory is the most successful physical theory ever discovered. Nathan Seiberg, one of its leading architects, reveals where math and QFT converge. Read more at Quanta: https://www.quantamagazine.org/nathan-seiberg-on-how-math-might-reveal-quantum-
From playlist Inside the Mind of a Scientist
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
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
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
PiTP 2015 - "Introduction to Topological and Conformal Field Theory (1 of 2)" - Robbert Dijkgraaf
https://pitp2015.ias.edu/
From playlist 2015 Prospects in Theoretical Physics Program
Topologically Ordered Matter and Why You Should be Interested by Steven H. Simon
COLLOQUIUM TOPOLOGICALLY ORDERED MATTER AND WHY YOU SHOULD BE INTERESTED SPEAKER: Steven H. Simon (Oxford University, United Kingdom) DATE: Mon, 26 October 2020, 15:30 to 17:00 VENUE: Online ABSTRACT In two dimensional topologically ordered matter, processes depend on gross topology
From playlist ICTS Colloquia
Symmetries in QFT and Their Relationship With Category Theory (Lecture 1) by Lakshya Bhardwaj
INFOSYS-ICTS STRING THEORY LECTURES SYMMETRIES IN QFT AND THEIR RELATIONSHIP WITH CATEGORY THEORY SPEAKER Lakshya Bhardwaj (Mathematical Institute, University of Oxford) DATE & TIME 10 October 2022 to 12 October 2022 VENUE Madhava Lecture Hall (Hybrid) Lecture 1: 10 October 2022 at 3:30 p
From playlist Infosys-ICTS String Theory Lectures
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
Simple models of Symmetry Protected Topological phases
Simple models of Symmetry Protected Topological phases and Symmetry Enriched Topological phases of bosons in two and three dimensions Discussion Meeting: Quantum entanglement in macroscopic matter URL: http://www.icts.res.in/discussion_meeting/QEM2015/ Dates: Monday 12 Jan, 2015 - Friday
From playlist Discussion Meeting: Quantum entanglement in macroscopic matter
Topological Phase Transitions in the Quantum Hall Effect by Prashant Kumar
COLLOQUIUM : TOPOLOGICAL PHASE TRANSITIONS IN THE QUANTUM HALL EFFECT SPEAKER : Prashant Kumar ( Princeton University) DATE : 21 February 2023, 11:30 VENUE : Emmy Noether Seminar Room & Online RESOURCES : ABSTRACT Phase transitions involving topological phases of matter are a rich set
From playlist ICTS Colloquia
Lattice realization of integer QHE of bosons by Subhro Bhattacharjee
New questions in quantum field theory from condensed matter theory URL: http://www.icts.res.in/discussion_meeting/qft2015/ Description:- The last couple of decades have seen a major revolution in the field of condensed matter physics, where the severe limitations of conventional paradigm
From playlist New questions in quantum field theory from condensed matter theory
Quantum Spin Liquids in Kagome Lattice by Subhro Bhattacharjee
29 May 2017 to 02 June 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore This program aims to bring together people working on classical and quantum systems with disorder and interactions. The extensive exploration, through experiments, simulations and model calculations, of growing cor
From playlist Correlation and Disorder in Classical and Quantum Systems
Quantum entanglement in macroscopic matter (Lecture 2)
T Senthil (Department of Physics, Massachusetts Institute of Technology) URL: https://www.icts.res.in/lecture/2/details/1642/ 14 Jan 2015, 05:00 PM Physics Auditorium, IISc campus, Bangalore Description: A powerful organizing principle to describe and distinguish phases of macroscopic m
From playlist Chandrasekhar Lectures
Advanced Quantum Mechanics Lecture 6
(October 28, 2013) Leonard Susskind introduces quantum field theory and its connection to quantum harmonic oscillators. Gravity aside, quantum field theory offers the most complete theoretical description of our universe. Originally presented by the Stanford Continuing Studies Program. S
From playlist Lecture Collection | Advanced Quantum Mechanics