In physics and probability theory, Mean-field theory (MFT) or Self-consistent field theory studies the behavior of high-dimensional random (stochastic) models by studying a simpler model that approximates the original by averaging over degrees of freedom (the number of values in the final calculation of a statistic that are free to vary). Such models consider many individual components that interact with each other. The main idea of MFT is to replace all interactions to any one body with an average or effective interaction, sometimes called a molecular field. This reduces any many-body problem into an effective one-body problem. The ease of solving MFT problems means that some insight into the behavior of the system can be obtained at a lower computational cost. MFT has since been applied to a wide range of fields outside of physics, including statistical inference, graphical models, neuroscience, artificial intelligence, epidemic models, queueing theory, computer-network performance and game theory, as in the quantal response equilibrium. (Wikipedia).
Mean-Field Theory | Ising model | Solid State Physics
In this video we introduce three steps that are common to all mean-field theories. We then apply those steps to the Ising model and thereby solve it in the limit of infinite dimensions. #CondensedMatter Our recommendation: https://amzn.to/2MOHACT (Affiliate-Link) This book covers a lot o
From playlist Condensed Matter, Solid State Physics
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
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
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
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
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
Field Theory: Definition/ Axioms
This video is about the basics axioms of fields.
From playlist Basics: Field Theory
Fields - Field Theory - Lecture 00
This is the first in a series of videos for my abstract algebra class during the 2020 shutdown. This lecture is intended to rapidly catch students up who are going to follow online and aren't from UVM. We are using Dummit and Foote.
From playlist Field Theory
Field Theory - Algebraically Closed Fields - Lecture 9
In this video we define what an algebraically closed field and assert without proof that they exist. We also explain why if you can find a single root for any polynomial, then you can find them all.
From playlist Field Theory
Seok Kim - 6 dimensional superconformal field theories (1)
PROGRAM: THE 8TH ASIAN WINTER SCHOOL ON STRINGS, PARTICLES AND COSMOLOGY DATES: Thursday 09 Jan, 2014 - Saturday 18 Jan, 2014 VENUE: Blue Lily Hotel, Puri PROGRAM LINK: http://www.icts.res.in/program/asian8 The 8th Asian Winter School on Strings, Particles and Cosmology is part of a seri
From playlist The 8th Asian Winter School on Strings, Particles and Cosmology
Daniel Friedan - Where does quantum field theory come from?
Daniel Friedan (Rutgers Univ.) Where does quantum field theory come from? This will be an interim report on a long-running project to construct a mechanism that produces spacetime quantum field theory; to indentify possible exotic, non-canonical low- energy phenomena in SU(2) and SU(3) gau
From playlist Conférence à la mémoire de Vadim Knizhnik
David Ben-Zvi: Geometric Langlands correspondence and topological field theory - Part 1
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
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
From Coxeter Higher-Spin Theories to Strings and Tensor Models by Mikhail Vasiliev
ORGANIZERS : Pallab Basu, Avinash Dhar, Rajesh Gopakumar, R. Loganayagam, Gautam Mandal, Shiraz Minwalla, Suvrat Raju, Sandip Trivedi and Spenta Wadia DATE : 21 May 2018 to 02 June 2018 VENUE : Ramanujan Lecture Hall, ICTS Bangalore In the past twenty years, the discovery of the AdS/C
From playlist AdS/CFT at 20 and Beyond
David Ben-Zvi: Boundary conditions and hamiltonian actions in geometric Langlands
SMRI Algebra and Geometry Online: ‘Boundary conditions and hamiltonian actions in geometric Langlands’ David Ben-Zvi (University of Texas at Austin)
From playlist SMRI Algebra and Geometry Online
M2-branes and Supersymmetric Chern-Simons Theories, Part 1 - Daniel Jafferis
M2-branes and Supersymmetric Chern-Simons Theories, Part 1 Daniel Jafferis Institute for Advanced Study July 23, 2010
From playlist PiTP 2010
Field Definition (expanded) - Abstract Algebra
The field is one of the key objects you will learn about in abstract algebra. Fields generalize the real numbers and complex numbers. They are sets with two operations that come with all the features you could wish for: commutativity, inverses, identities, associativity, and more. They
From playlist Abstract Algebra
Recent Developments in Non-Equilibrium QFT by R. Loganayagam
DISCUSSION MEETING EXTREME NONEQUILIBRIUM QCD (ONLINE) ORGANIZERS: Ayan Mukhopadhyay (IIT Madras) and Sayantan Sharma (IMSc Chennai) DATE & TIME: 05 October 2020 to 09 October 2020 VENUE: Online Understanding quantum gauge theories is one of the remarkable challenges of the millennium
From playlist Extreme Nonequilibrium QCD (Online)