Axiomatic quantum field theory
In quantum field theory, the operator product expansion (OPE) is used as an axiom to define the product of fields as a sum over the same fields. As an axiom, it offers a non-perturbative approach to quantum field theory. One example is the vertex operator algebra, which has been used to construct two-dimensional conformal field theories. Whether this result can be extended to QFT in general, thus resolving many of the difficulties of a perturbative approach, remains an open research question. In practical calculations, such as those needed for scattering amplitudes in various collider experiments, the operator product expansion is used in QCD sum rules to combine results from both perturbative and non-perturbative (condensate) calculations. (Wikipedia).
Integration 7 Integrating the Product of Functions Part 2 Example 1
Working through an example of the reverse of the product rule for integration.
From playlist Integration
Integration 7 Integrating the Product of Functions Part 2 Example 2
Working through an example using the reverse product rule for integration.
From playlist Integration
Integration 4 The Definite Integral Part 3 Example 3
Working through another example using the definite integral.
From playlist Integration
Integration by Parts (1 of 2: Arranging the integral with DETAIL)
More resources available at www.misterwootube.com
From playlist Further Integration
Integration 4 The Definite Integral Part 3 Example 4
Working through another example using the definite integral.
From playlist Integration
Integration 4 The Definite Integral Part 2
Working through an example of the definite integral
From playlist Integration
Integration 4 The Definite Integral Part 3 Example 1
An example using the definite integral.
From playlist Integration
Integration 4 The Definite Integral Part 3 Example 2
Working through another example of the definite integral.
From playlist Integration
Integration 1 Riemann Sums Part 1 - YouTube sharing.mov
Introduction to Riemann Sums
From playlist Integration
The dynamical Φ43Φ34 model: derivation of the renormalised equations - Martin Hairer
Martin Hairer University of Warwick March 5, 2014 For more videos, visit http://video.ias.edu
From playlist Mathematics
Conformal Bootstrap in Mellin Space by Aninda Sinha
11 January 2017 to 13 January 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru String theory has come a long way, from its origin in 1970's as a possible model of strong interactions, to the present day where it sheds light not only on the original problem of strong interactions, but
From playlist String Theory: Past and Present
Christian Bär: Local index theory for Lorentzian manifolds
HYBRID EVENT We prove a local version of the index theorem for Dirac-type operators on globally hyperbolic Lorentzian manifolds with Cauchy boundary. In case the Cauchy hypersurface is compact, we do not assume self-adjointness of the Dirac operator on the spacetime or of the associated el
From playlist Mathematical Physics
Business cycles and the production possibilities curve | APⓇ Macroeconomics | Khan Academy
This video demonstrates how different points of the business cycle correspond to the production possibilities curve. The discussion includes unemployment, inflation, expansions, recessions and economic growth. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/
From playlist Economic indicators and the business cycle | AP Macroeconomics | Khan Academy
Martin Hairer Mini-course 2: Introduction to Regularity Structures
SMRI-MATRIX Symposium with Martin Hairer 18 February 2021: Mini-course 2 Title: Introduction to Regularity Structures Part 2 Symposium website: https://sites.google.com/monash.edu/symposium-with-martin-hairer/home Question from audience member (1:01:26): Is it possible to encode non-l
From playlist Symposium with Martin Hairer
Determinantal varieties and asymptotic expansion of Bergman kernels by Harald Upmeier
DISCUSSION MEETING ANALYTIC AND ALGEBRAIC GEOMETRY DATE:19 March 2018 to 24 March 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore. Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions be
From playlist Analytic and Algebraic Geometry-2018
Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 1)
The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of time-frequency shifts (phase space shifts) of a single fu
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
Thomas KRAJEWSKI - Connes-Kreimer Hopf Algebras...
Connes-Kreimer Hopf Algebras : from Renormalisation to Tensor Models and Topological Recursion At the turn of the millenium, Connes and Kreimer introduced Hopf algebras of trees and graphs in the context of renormalisation. We will show how the latter can be used to formulate the analogu
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
PMSP - Expansion in Lie groups and applications - Jean Bourgain
Jean Bourgain Institute for Advanced Study June 16, 2010 For more videos, visit http://video.ias.edu
From playlist Mathematics
P Werner - Hybridization expansion based CTQMC
PROGRAM: STRONGLY CORRELATED SYSTEMS: FROM MODELS TO MATERIALS DATES: Monday 06 Jan, 2014 - Friday 17 Jan, 2014 VENUE: Department of Physics, IISc Campus, Bangalore PROGRAM LINK : http://www.icts.res.in/program/MTM2014 The realistic description of materials with strong electron-electro
From playlist Strongly correlated systems: From models to materials