Axiomatic quantum field theory

Schwinger function

In quantum field theory, the Wightman distributions can be analytically continued to analytic functions in Euclidean space with the domain restricted to the ordered set of points in Euclidean space with no coinciding points. These functions are called the Schwinger functions (named after Julian Schwinger) and they are real-analytic, symmetric under the permutation of arguments (antisymmetric for fermionic fields), Euclidean covariant and satisfy a property known as reflection positivity. Properties of Schwinger functions are known as Osterwalder–Schrader axioms (named after Konrad Osterwalder and ). Schwinger functions are also referred to as Euclidean correlation functions. (Wikipedia).

Video thumbnail

Schlieren Optics

Demonstration of an optical technique that allows us to see small changes in the index of refraction in air. A point source of light is reflected from a concave mirror and focused onto the edge of a razor blade, which is mounted in front of the camera. Light refracted near the mirror and i

From playlist Schlieren Optics

Video thumbnail

Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (17 of 92) How to Use Schrod. Eqn: 2

Visit http://ilectureonline.com for more math and science lectures! In this video I will show how to use the Schrodinger's equation, part 2/2. Next video in this series can be seen at: https://youtu.be/kO9JZgVXqyU

From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION

Video thumbnail

Schrödinger Equation : its impact on the electron and the atom

The Schrödinger Equation is fundamental to the quantum behaviour of the atom, and quantum mechanics in general. But what is it all about? In this video I discuss what it means, without delving too deeply in the mathematics, and how it helps understand the nature of the electron in the atom

From playlist New here? A selection of what I do

Video thumbnail

Schrodinger's Equation

Schrodinger's Equation for wave functions in Quantum Physics. My Patreon Page is at https://www.patreon.com/EugeneK

From playlist Physics

Video thumbnail

Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (16 of 92) How to Use Schrod. Eqn: 1

Visit http://ilectureonline.com for more math and science lectures! In this video I will show how to use the Schrodinger's equation, part 1/2. Next video in this series can be seen at: https://youtu.be/2kyX3ON7ow0

From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION

Video thumbnail

Raimar WULKENHAAR - Solvable Dyson-Schwinger Equations

Dyson-Schwinger equations provide one of the most powerful non-perturbative approaches to quantum field theories. The quartic analogue of the Kontsevich model is a toy model for QFT in which the tower of Dyson-Schwinger equations splits into one non-linear equation for the planar two-point

From playlist Talks of Mathematics Münster's reseachers

Video thumbnail

New constraints on transport from Schwinger Keldysh theory by Amos Yarom

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

Video thumbnail

Discrete Chiral Symmetry and Mass Shift in Lattice Hamiltonian Approach to... - Igor Klebanov

IAS Physics Group Meeting Topic: Discrete Chiral Symmetry and Mass Shift in Lattice Hamiltonian Approach to Schwinger Model Speaker: Igor Klebanov Affiliation: Princeton University; Member, School of Natural Sciences, IAS June 15, 2022 We revisit the lattice formulation of the Schwinger

From playlist Physics Group Meeting

Video thumbnail

Marginal triviality of the scaling limits of critical 4D Ising (Lecture 2) by Hugo Duminil-Copin

INFOSYS-ICTS RAMANUJAN LECTURES CRITICAL PHENOMENA THROUGH THE LENS OF THE ISING MODEL SPEAKER: Hugo Duminil-Copin (Institut des Hautes Études Scientifiques, France & University of Geneva, Switzerland) DATE: 09 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall Lecture 1 D

From playlist Infosys-ICTS Ramanujan Lectures

Video thumbnail

A quantum particle in a periodic egg carton potential

This simulation of a quantum particle in a periodic particle explores a new visualization, in which the z-coordinate is the sum of the potential, and another quantity related to the wave function (either its real part, or its modulus squared). There is a detailed theory on Schrödinger's eq

From playlist Schrödinger's equation

Video thumbnail

Hugo Duminil-Copin - 1/4 Triviality of the 4D Ising Model

We prove that the scaling limits of spin fluctuations in four-dimensional Ising-type models with nearest-neighbor ferromagnetic interaction at or near the critical point are Gaussian. A similar statement is proven for the λφ4 fields over R^4 with a lattice ultraviolet cutoff, in the limit

From playlist Hugo Duminil-Copin - Triviality of the 4D Ising Model

Video thumbnail

Separation of variables and the Schrodinger equation

A brief explanation of separation of variables, application to the time-dependent Schrodinger equation, and the solution to the time part. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at http://www.youtube.com/

From playlist Mathematical Physics II - Youtube

Video thumbnail

Unpacking the Schrödinger Equation

We've talked about the Schrödinger equation before, but we really didn't dig into it with any depth at all. Now it's time to really get in there and do the math. What is the Hamiltonian operator? What is the time-independent Schrödinger equation? What we can we do with this equation? Let's

From playlist Modern Physics

Video thumbnail

Eigenvalues of the linearized 2D Euler equations via Birman-Schwinger operators by Shibi Vasudevan

ICTS IN-HOUSE 2020 Organizers: Amit Kumar Chatterjee, Divya Jaganathan, Junaid Majeed, Pritha Dolai Date:: 17-18th February 2020 Venue: Ramanujan Lecture Hall, ICTS Bangalore inhouse@icts.res.in An exclusive two-day event to exchange ideas and discuss research amongst member

From playlist ICTS In-house 2020

Video thumbnail

Understanding Quantum Field Theory

In a talk at Georgetown University, Dr. Rodney Brooks, author of "Fields of Color: The theory that escaped Einstein", shows why the answer is quantum field theory. He shows how quantum field theory, so often overlooked or misunderstood, resolves the weirdness of quantum mechanics and the

From playlist Quantum Field Theory

Video thumbnail

Can Something Be Created Out of Nothing? Evidence For Schwinger Effect in Graphene

Get a Wonderful Person Tee: https://teespring.com/stores/whatdamath More cool designs are on Amazon: https://amzn.to/3wDGy2i Alternatively, PayPal donations can be sent here: http://paypal.me/whatdamath Hello and welcome! My name is Anton and in this video, we will talk about Links: http

From playlist Physics

Video thumbnail

Quark matter in compact Stars by Thomas Klaehn

PROGRAM VIRTUAL MEETING ON COMPACT STARS AND QCD 2020 (ORIGINALLY "COMPACT STARS IN THE QCD PHASE DIAGRAM VIII: THE ERA OF MULTI-MESSENGER ASTRONOMY") ORGANIZERS: Manjari Bagchi, Sarmistha Banik, Sudip Bhattacharyya, Prashanth Jaikumar, V. Ravindran and Sayantan Sharma DATE: 17 August

From playlist Virtual Meeting on Compact Stars and Qcd 2020 (Originally "Compact Stars in The Qcd Phase Diagram Viii: The Era of Multi-messenger Astronomy") 2020

Video thumbnail

The Schrodinger Equation is (Almost) Impossible to Solve.

Sure, the equation is easily solvable for perfect / idealized systems, but almost impossible for any real systems. The Schrodinger equation is the governing equation of quantum mechanics, and determines the relationship between a system, its surroundings, and a system's wave function. Th

From playlist Quantum Physics by Parth G

Video thumbnail

Gérald DUNNE - Resurgent Trans-series Analysis of Hopf Algebraic Renormalization

In the Kreimer-Connes Hopf algebraic approach to renormalization, for certain QFTs the Dyson-Schwinger equations can be reduced to nonlinear differential equations. I describe methods based on Ecalle's theory of resurgent trans-series to extract non-perturbative information from these Dyso

From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

Related pages

Axiomatic quantum field theory | Path integral formulation | Wightman axioms | Analytic continuation | Support (mathematics) | Domain of a function | Hyperplane | Fermion | Fermionic field | Distribution (mathematics) | Euclidean space | Sobolev space | Schwartz space