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

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

Organizer(s) Erik PANZER (University of Oxford) & Karen YEATS (University of Waterloo)

Date(s) 16/11/2020 - 20/11/2020

linked URL https://indico.math.cnrs.fr/event/4834/

00:00:00 / 00:00:00

21 28

New Techniques for Worldline Integration

By Christian Schubert

The worldline formalism provides an alternative to Feynman diagrams in the construction of amplitudes and effective actions that shares some of the superior properties of the organization of amplitudes in string theory. In particular, it allows one to write down integral representations combining the contributions of large classes of Feynman diagrams of different topologies. However, calculating these integrals analytically without splitting them into sectors corresponding to individual diagrams poses a formidable mathematical challenge. I will summarize the history and state of the art of this problem, including some natural connections to the theory of Bernoulli numbers and multiple zeta values.

Information about the video

Date of recording 19/11/2020
Date of publication 29/11/2020
Institution IHES
Language English
Audience Researchers
Format MP4

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All the collection videos

50:32

published on November 29, 2020

Bogoliubov Type Recursions for Renormalisation in Regularity Structures

By Yvain Bruned

46:55

published on November 29, 2020

Geometrical Splitting and Reduction of N-point Feynman Diagrams

By Andrei Davydychev

50:36

published on November 29, 2020

Wick Products and Combinatorial Hopf Algebras

By Kurusch Ebrahimi-Fard

56:25

published on November 29, 2020

Random Loops and T-algebras

By Martin Hairer

48:44

published on November 29, 2020

Renormalization Hopf Algebras and Gauge Theories

By Walter Van Suijlekom

54:45

published on November 29, 2020

Cointeracting Bialgebras

By Loïc Foissy

59:12

published on November 29, 2020

Categorical Interactions in Algebra, Geometry and Physics: Cubical Structures and Truncations

By Ralph Kaufmann

33:08

published on November 29, 2020

On the enumerative structures in QFT

By Ali Assem Mahmoud

49:38

published on November 29, 2020

On Multiple Zeta Values and their q-analogues

By Dominique Manchon

59:33

published on November 29, 2020

From Complementations on Lattices to Locality

By Sylvie Paycha

52:37

published on November 29, 2020

Toric Hall Algebras and infinite-dimensional Lie algebras

By Matt Szczesny

54:57

published on November 29, 2020

On a Theorem of Kreimer

By Marko Berghoff

47:04

published on November 29, 2020

Elliptic Curves Associated to Two-loop Graphs

By Spencer Bloch

56:46

published on November 29, 2020

Graph Complexes, Invariant Differential Forms and Feynman integrals

By Francis Brown

40:43

published on November 29, 2020

The Double Copy & Lie polynomials

By Hadleigh Frost

56:59

published on November 29, 2020

Spaces of Graphs, Tori and Other Flat Gamma-complexes

By Karen Vogtmann

54:11

published on November 29, 2020

Resurgent Trans-series Analysis of Hopf Algebraic Renormalization

By Gerald Dunne

52:05

published on November 29, 2020

Generalized Gross-Neveu Universality Class with Non-abelian Symmetry

By John Gracey

$Solution of $\phi^4_4$ on the Moyal Space$
33:13

published on November 30, 2020

Solution of $\phi^4_4$ on the Moyal Space

By Alexander Hock

01:01:01

published on November 29, 2020

Connes-Kreimer Hopf Algebras : from Renormalisation to Tensor Models and Topological Recursion

By Thomas Krajewski

52:48

published on November 29, 2020

New Techniques for Worldline Integration

By Christian Schubert

50:13

published on November 29, 2020

Solvable Dyson-Schwinger Equations

By Raimar Wulkenhaar

52:21

published on November 30, 2020

Dirk Kreimer through my Looking Glass

By Marc Bellon

42:56

published on November 30, 2020

Classical Gravity at High Precision

By Johannes Blümlein

55:08

published on November 30, 2020

The Euler Characteristic of $Out(F_n)$ and the Hopf Algebra of Graphs

By Michael Borinsky

53:13

published on November 30, 2020

Tasmanian Adventures

By David Broadhurst

37:09

published on November 30, 2020

Tree-like Equations from the Connes-Kreimer Hopf Algebra and the Combinatorics of Chord Diagrams

By Lukas Nabergall

01:00:06

published on November 30, 2020

2010-2020: a Decade of Quantum Computing

By Oliver Schnetz

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