Publications (78)
Tensor structure from scalar Feynman matroids
Dirk Kreimer, Karen Yeats
Integrable Renormalization I: the Ladder Case
Kurusch Ebrahimi-Fard, Li Guo, Dirk Kreimer
Dyson Schwinger Equations: From Hopf algebras to Number Theory
Dirk Kreimer
Integrable Renormalization II: the general case
Kurusch Ebrahimi-Fard, Li Guo, Dirk Kreimer
Locality, QED and Classical Electrodynamics
Dirk Kreimer
On the Brownian gas: a field theory with a Poissonian ground state
Andrea Velenich, Claudio Chamon, Leticia F. Cugliandolo +1
Feynman amplitudes and Landau singularities for 1-loop graphs
Spencer Bloch, Dirk Kreimer
A Short Note on Two-Loop Box Functions
Dirk Kreimer
The core Hopf algebra
Dirk Kreimer
Feynman diagrams and polylogarithms: shuffles and pentagons
Dirk Kreimer
Diffeomorphisms of quantum fields
Dirk Kreimer, Karen Yeats
Cutkosky Rules and Outer Space
Spencer Bloch, Dirk Kreimer
Resummation of infrared logarithms in de Sitter space via Dyson-Schwinger equations: the ladder-rainbow approximation
Ahmed Youssef, Dirk Kreimer
A remark on quantum gravity
Dirk Kreimer
Combinatorial Dyson-Schwinger equations in noncommutative field theory
Adrian Tanasa, Dirk Kreimer
The Structure of the Ladder Insertion-Elimination Lie algebra
Igor Mencattini, Dirk Kreimer
Renormalization in quantum field theory and the Riemann-Hilbert problem II: the $β$-function, diffeomorphisms and the renormalization group
Alain Connes, Dirk Kreimer
The corolla polynomial: a graph polynomial on half-edges
Dirk Kreimer
Decomposing Feynman rules
Francis Brown, Dirk Kreimer
The Hopf algebra of rooted trees in Epstein-Glaser renormalization
Christoph Bergbauer, Dirk Kreimer
Angles, scales and parametric renormalization
Francis Brown, Dirk Kreimer
Renormalization in quantum field theory and the Riemann-Hilbert problem
Alain Connes, Dirk Kreimer
Knots and Divergences
Dirk Kreimer
Three Etudes in QFT
Dirk Kreimer
2-loop Integrals in the Standard Model
Dirk Kreimer
Cutkosky Rules from Outer Space
Dirk Kreimer
Tensor Integrals for Two Loop Standard Model Calculations
Dirk Kreimer
On Motives Associated to Graph Polynomials
Spencer Bloch, Hélène Esnault, Dirk Kreimer
On Overlapping Divergences
Dirk Kreimer
Recursion and growth estimates in renormalizable quantum field theory
Dirk Kreimer, Karen Yeats
Filtrations in Dyson-Schwinger equations: next-to^{j} -leading log expansions systematically
Olaf Krueger, Dirk Kreimer
Shuffling quantum field theory
Dirk Kreimer
Algebraic Structures in local QFT
Dirk Kreimer
New representation of two-loop propagator and vertex functions
Andrzej Czarnecki, Ulrich Kilian, Dirk Kreimer
Hopf Algebras, Renormalization and Noncommutative Geometry
Alain Connes, Dirk Kreimer
Hopf algebra approach to Feynman diagram calculations
Kurusch Ebrahimi-Fard, Dirk Kreimer
How useful can knot and number theory be for loop calculations?
Dirk Kreimer
The QED beta-function from global solutions to Dyson-Schwinger equations
Guillaume van Baalen, Dirk Kreimer, David Uminsky +1
On the Invariance of Residues of Feynman Graphs
Isabella Bierenbaum, Richard Kreckel, Dirk Kreimer
Diagrammatic Cancellations and the Gauge Dependence of QED
Henry KiÃler, Dirk Kreimer
Renormalization and Knot Theory
Dirk Kreimer
Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT
Kurusch Ebrahimi-Fard, Li Guo, Dirk Kreimer
What can we learn from Knizhnik--Zamolodchikov Equations?
Dirk Kreimer
Algebra for quantum fields
Dirk Kreimer
Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology
Christoph Bergbauer, Dirk Kreimer
Field diffeomorphisms and the algebraic structure of perturbative expansions
Dirk Kreimer, Andrea Velenich
Renormalization and resolution of singularities
Christoph Bergbauer, Romeo Brunetti, Dirk Kreimer
The Role of $γ_5$ in Dimensional Regularization
Dirk Kreimer
An Ãtude in non-linear Dyson--Schwinger Equations
Dirk Kreimer, Karen Yeats
Feynman Diagram Calculations - From finite Integral Representations to knotted Infinities
Dirk Kreimer
An algebraic approach to Z-Factors
Dirk Kreimer
Chen's Iterated Integral represents the Operator Product Expansion
Dirk Kreimer
The residues of quantum field theory - numbers we should know
Dirk Kreimer
The QCD beta-function from global solutions to Dyson-Schwinger equations
Guillaume van Baalen, Dirk Kreimer, David Uminsky +1
Combinatorics of (perturbative) quantum field theory
Dirk Kreimer
Recursive relations in the core Hopf algebra
Dirk Kreimer, Walter D. van Suijlekom
On the Hopf algebra structure of perturbative quantum field theories
Dirk Kreimer
Renormalization and Mellin transforms
Dirk Kreimer, Erik Panzer
Mixed Hodge Structures and Renormalization in Physics
Spencer Bloch, Dirk Kreimer
Multi-valued Feynman Graphs and Scattering Theory
Dirk Kreimer
Insertion and Elimination Lie Algebra: the Ladder case
Igor Mencattini, Dirk Kreimer
Insertion and Elimination: the doubly infinite Lie algebra of Feynman graphs
Alain Connes, Dirk Kreimer
Quantization of gauge fields, graph polynomials and graph cohomology
Dirk Kreimer, Matthias Sars, Walter D. van Suijlekom
Habilitationsschrift: Renormalization and Knot Theory
Dirk Kreimer
Comment on: Topological Invariants, instantons, and the chiral anomaly on spaces with torsion
Dirk Kreimer, Eckehard W. Mielke
What is the trouble with Dyson--Schwinger equations?
Dirk Kreimer
On knots in subdivergent diagrams
Dirk Kreimer
Anatomy of a gauge theory
Dirk Kreimer
Factorization in quantum field theory: an exercise in Hopf algebras and local singularities
Dirk Kreimer
Structures in Feynman Graphs -Hopf Algebras and Symmetries
Dirk Kreimer
Renormalization in quantum field theory and the Riemann-Hilbert problem I: the Hopf algebra structure of graphs and the main theorem
Alain Connes, Dirk Kreimer
Properties of the corolla polynomial of a 3-regular graph
Dirk Kreimer, Karen Yeats
New mathematical structures in renormalizable quantum field theories
Dirk Kreimer
Not so non-renormalizable gravity
Dirk Kreimer
The next-to-ladder approximation for Dyson-Schwinger equations
Isabella Bierenbaum, Dirk Kreimer, Stefan Weinzierl
Avoidance of a Landau Pole by Flat Contributions in QED
Lutz Klaczynski, Dirk Kreimer
New algebraic aspects of perturbative and non-perturbative Quantum Field Theory
Christoph Bergbauer, Dirk Kreimer
Quantum fields, periods and algebraic geometry
Dirk Kreimer