Publications

Dirk Kreimer’s publications


Publications of the group:

\

Year 2011
Date No. Author(s) Title Journal Ref.
April 2011 MaPhy-AvH/2011-01 Dirk Kreimer and Karen Yeats Tensor structure from scalar Feynman matroids. Phys.Lett. B698 (2011) 443-450
July 2011 MaPhy-AvH/2011-02 Erik Panzer Hopf-algebraic renormalization
of Kreimer’s toy model.
Master Thesis
July 2011 MaPhy-AvH/2011-03 Nathalie Deruelle, Misao Sasaki, Yuuiti Sendouda and Ahmed Youssef Lorentz-violating vs ghost gravitons: the example of Weyl gravity JHEP,
September 2012, 2012:9
November 2011 MaPhy-AvH/2011-04 Francis Brown and Oliver Schnetz A K3 in Phi4 Duke Math. J.
Volume 161, Number 10 (2012), 1817-1862.
November 2011 MaPhy-AvH/2011-05 Francis Brown and Dirk Kreimer Angles, Scales and Parametric Renormalization Letters in Mathematical Physics
September 2013, Volume 103, Issue 9, pp 933-1007
December 2011 MaPhy-AvH/2011-06 Bettina Grauel Dyson-Schwinger-Gleichungen und die
Hopf-Algebra von Wurzelbäumen
Eine Einführung
Bachelor Thesis
Year 2012
January 2012 MaPhy-AvH/2012-01 Martin Lueders Baumfakultäten und kombinatorische
Dyson-Schwinger-Gleichungen
Bachelor Thesis
January 2012 MaPhy-AvH/2012-02 H. Bergeron, P. Siegl, A. Youssef New SUSYQM coherent states for Poschl-Teller potentials: a detailed mathematical analysis. Journal of Physics A: Mathematical and Theoretical, Volume 45, Number 24
March 2012 MaPhy-AvH/2012-03 F.Brown, O.Schnetz, K.Yeats Properties of c2 invariants of Feynman graphs Adv. Theor. Math. Phys.
Volume 18, Number 2 (2014), 323-362.
April 2012 MaPhy-AvH/2012-04 D.Kreimer, A.Velenich Field diffeomorphisms and the algebraic structure of perturbative expansions. Letters in Mathematical Physics
February 2013, Volume 103, Issue 2, pp 171-181
July 2012 MaPhy-AvH/2012-05 Kilian Scheltat Dyson Schwinger algebras and their applications to physics Master Thesis
July 2012 MaPhy-AvH/2012-06 D.Kreimer, K.Yeats Properties of the corolla polynomial of a 3-regular graph Elec. J. Combin., 20, 1 (2013), P41.
July 2012 MaPhy-AvH/2012-07 D.Kreimer, E.Panzer Renormalization and Mellin transforms Computer Algebra in Quantum Field Theory
Part of the series Texts & Monographs in Symbolic Computation pp 195-223
August 2012 MaPhy-AvH/2012-08 C.Schubert String inspired representations of photon/gluon amplitudes Journal of High Energy Physics
January 2013, 2013:132
August 2012 MaPhy-AvH/2012-09 F.Brown, O.Schnetz Proof of the zigzag conjecture Journal of Number Theory
Volume 148, March 2015, Pages 478–506
August 2012 MaPhy-AvH/2012-10 D.Kreimer, M.Sars, W.van Suijlekom Quantization of gauge fields, graph polynomials and graph cohomology Annals Phys. 336 (2013) 180-222
September 2012 MaPhy-AvH/2012-11 F.Brown and D.Kreimer Decomposing Feynman rules PoS LL2012 (2012) 049
Oktober 2012 MaPhy-AvH/2012-12 N.Marie and K.Yeats A chord diagram expansion coming from some Dyson–Schwinger equations Communications in Number Theory and Physics, 7, no 2 (2013)
Oktober 2012 MaPhy-AvH/2012-13 O.Schnetz EVALUATION OF THE PERIOD OF A FAMILY OF TRIANGLE
AND BOX LADDER GRAPHS
preprint
September 2012 MaPhy-AvH/2012-14 C.Bogner, F.Brown Symbolic integration and multiple polylogarithms PoS LL2012 (2012) 053
Oktober 2012 MaPhy-AvH/2012-15 H.Kissler On linear systems of Dyson Schwinger equations Master thesis
November 2012 MaPhy-AvH/2012-16 N.Affolter Polynomial Coefficients of Dyson Schwinger
Equations
Bachelor thesis
December 2012 MaPhy-AvH/2012-17 A.Youssef Do scale-invariant fluctuations imply the breaking
of de Sitter invariance?.
Physics Letters B
Volume 718, Issue 3, 8 January 2013, Pages 1095–1098
December 2012 MaPhy-AvH/2012-18 F.Brown, D.Doryn FRAMINGS FOR GRAPH HYPERSURFACES
preprint
December 2012 MaPhy-AvH/2012-19 M.Fahrner Kombinatorische
Dyson-Schwinger-Gleichungen
Master Thesis
Year 2013
January 2013 MaPhy-AvH/2013-01 A.Youssef, D.Kreimer Resummation of infrared logarithms in de Sitter space
via Dyson-Schwinger equations: the ladder-rainbow
approximation
Phys.Rev. D89 (2014) 124021
January 2013 MaPhy-AvH/2013-02 E.Panzer
Renormalization, Hopf algebras and Mellin transforms
Contemp.Math. 648 (2015) 169-202
February 2013 MaPhy-AvH/2013-03 O.Schnetz Graphical Functions
preprint
February 2013 MaPhy-AvH/2013-04 C.Bogner, M.Lueders Multiple polylogarithms and linearly reducible
Feynman graphs
Contemp.Math. 648 (2015) 11-28
March 2013 MaPhy-AvH/2013-05 L.Adams, C.Bogner, S.Weinzierl
The two-loop sunrise graph with arbitrary masses
J.Math.Phys. 54 (2013) 052303
March 2013 MaPhy-AvH/2013-06 F.Brown, O.Schnetz
Modular Forms in Quantum Field Theory
Commun.Num.Theor Phys. 07 (2013) 293-325
April 2013 MaPhy-AvH/2013-07 D.Kreimer
Quantum Fields, periods and algebraic geometry
Contemp.Math. 648 (2015) 153-168
May 2013 MaPhy-AvH/2013-08 E.Panzer On the analytic computation of massless propagators in dimensional regularization”>
Nucl.Phys. B874 (2013) 567-593
May 2013 MaPhy-AvH/2013-09 M.Golz Evaluation techniques for Feynman diagrams
Bachelorarbeit
May 2013 MaPhy-AvH/2013-10 C.Kaeding Renormierung eines Spielzeugmodells
Bachelorarbeit
August 2013 MaPhy-AvH/2013-11 M.Borinsky Algorithmization of the Hopf algebra of
Feynman graphs
Masterarbeit
September 2013 MaPhy-AvH/2013-12 L.Klaczynski, D.Kreimer Avoidance of a Landau Pole by Flat Contributions in QED
Annals Phys. 344 (2014) 213-231
September 2013 MaPhy-AvH/2013-13 F.Brown SINGLE-VALUED PERIODS AND MULTIPLE ZETA VALUES
SIGMA 2 (2014) e25
September 2013 MaPhy-AvH/2013-14 M.Lueders Linear polynomial reduction for Feynman
integrals
master Thesis
September 2013 MaPhy-AvH/2013-15 S.Bloch,P.Vanhove THE ELLIPTIC DILOGARITHM FOR THE
SUNSET GRAPH
Journal of Number Theory
Volume 148, March 2015, Pages 328–364
September 2013 MaPhy-AvH/2013-16 W.Bernreuther, C.Bogner, O.Dekkers The real radiation antenna functions for S → QQgg
at NNLO QCD
JHEP 1310 (2013) 161
November 2013 MaPhy-AvH/2013-17 O.Krueger Filtrations in Dyson-Schwinger
equations
Master thesis
November 2013 MaPhy-AvH/2013-18 S.Black, I.Crump, M.DeVos, K.Yeats Forbidden minors for graphs with no first obstruction to parametric Feynman integration J.
Discrete Mathematics
Volume 338 Issue 3, March 2015
Pages 9-35
December 2013 MaPhy-AvH/2013-19 R.M.Kaufmann,B.C.Ward Feynman Categories preprint
December 2013 MaPhy-AvH/2013-20 D.Doryn The c2invariant is invariant preprint
Year 2014
January 2014 MaPhy-AvH/2014-01 E.Panzer On hyperlogarithms and Feynman integrals with divergences and many scales JHEP 1403 (2014) 071
February 2014 MaPhy-AvH/2014-02 M.Borinsky Feynman graph generation and calculations in the Hopf algebra of Feynman graphs Computer Physics Communications
Volume 185, Issue 12, December 2014, Pages 3317–3330
March 2014 MaPhy-AvH/2014-03 E.Panzer Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals Computer Physics Communications
Volume 188, March 2015, Pages 148–166
March 2014 MaPhy-AvH/2014-04 L.Adams, C.Bogner, S.Weinzierl The two-loop sunrise graph with arbitrary masses in terms of
elliptic dilogarithms
J.Math.Phys. 54 (2013) 052303
June 2014 MaPhy-AvH/2014-05 D.Kreimer What can we learn from Knizhnik–Zamolodchikov equations? PoS LL2014 (2014) 047
June 2014 MaPhy-AvH/2014-06 E.Panzer Feynman Integrals via hyperlogarithms PoS(LL2014)049
June 2014 MaPhy-AvH/2014-07 S.Bloch, M.Kerr, P.Vanhove, A Feynman integral via higher normal functions
Compositio Mathematica / Volume 151 / Issue 12 / December 2015, pp 2329- 2375
July 2014 MaPhy-AvH/2014-08 D.Broadhurst, O.Schnetz Algebraic geometry informs perturbative quantum
field theory
PoS LL2014 (2014) 078
August 2014 MaPhy-AvH/2014-09 F.Brown MULTIPLE MODULAR VALUES FOR SL2 (Z)
preprint
August 2014 MaPhy-AvH/2014-10 C.Bogner, F.Brown
FEYNMAN INTEGRALS AND ITERATED INTEGRALS ON MODULI SPACES
OF CURVES OF GENUS ZERO
Commun.Num.Theor.Phys. 09 (2015) 189-238
August 2014 MaPhy-AvH/2014-11 L.Laudan
Beispiele fuer die Algebren der Feynman Graphen
Bachelorarbeit
September 2014 MaPhy-AvH/2014-12 B.Grauel
beta function QED to two loops – traditional and with corolla polynomial
Master Thesis
September 2014 MaPhy-AvH/2014-13 D.Broadhurst
Multiple Deligne values: a data mine with empirically tamed denominators
preprint
October 2014 MaPhy-AvH/2014-14 M.Berghoff
Wonderful Renormalization
PhD thesis
October 2014 MaPhy-AvH/2014-15 I.Bierenbaum
The loop-tree duality at NLO and beyond
preprint proceedings
October 2014 MaPhy-AvH/2014-16 M.Borinsky
Computations and generation of elements on the
Hopf algebra of Feynman graphs
International workshop on Advanced Computing and Analysis
Techniques in physics research, 2014 proceedings
October 2014 MaPhy-AvH/2014-17 E.Panzer
Feynman integrals and hyperlogarithms
PhD thesis
November 2014 MaPhy-AvH/2014-18 M.Berghoff WONDERFUL COMPACIFICATIONS IN QUANTUM FIELD
THEORY
Commun.Num.Theor.Phys. 09 (2015) no.3, 477-547
November 2014 MaPhy-AvH/2014-19 C.Glanois Motivic unipotent fundamental groupoid of G m \ μ N for
N = 2, 3, 4, 6, 8 and Galois descents.
Journal of Number Theory
Volume 160, March 2016, Pages 334–384
November 2014 MaPhy-AvH/2014-20 A.von Manteuffel, E.Panzer, R.M.Schabinger A quasi-finite basis for multi-loop Feynman integrals JHEP 1502 (2015) 120
December 2014 MaPhy-AvH/2014-21 O.Krueger and D.Kreimer Filtrations in Dyson-Schwinger equations: next-to {j} -leading log expansions
systematically
Annals of Physics, Volume 360, September 2015, Pages 293-340
December 2014 MaPhy-AvH/2014-22 Lucia Rotheray Hopf subalgebras from Green’s functions Master Thesis
December 2014 MaPhy-AvH/2014-23 Isabella Bierenbaum, Gustav Kramer Production of massless charm jets in pp collisions at next-to-leading order of QCD Int.\ J.\ Mod.\ Phys.\ A {\bf 30} (2015) no.18n19, 1550111
Year 2015
January 2015 MaPhy-AvH/2015-01 M.Sars Parametric Representation of Feynman
Amplitudes in Gauge Theories
PhD thesis
February 2015 MaPhy-AvH/2015-02 M.Golz Graphical functions in parametric space Master thesis
April 2015 MaPhy-AvH/2015-03 L.Adams, C.Bogner, S.Weinzierl The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case J.Math.Phys. 56 (2015) no.7, 072303
May 2015 MaPhy-AvH/2015-04 E.Panzer, M.Golz, O.Schnetz Graphical Functions in Parametric Space preprint
June 2015 MaPhy-AvH/2015-05 F.Brown IRRATIONALITY PROOFS FOR ZETA VALUES, MODULI SPACES AND DINNER PARTIES preprint
June 2015 MaPhy-AvH/2015-06 F.Brown ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF A PUNCTURED ELLIPTIC CURVE preprint
June 2015 MaPhy-AvH/2015-07 E.Panzer, O.Schnetz THE GALOIS COACTION ON $\phi^4$ PERIODS preprint
August 2015 MaPhy-AvH/2015-08 Armin Schweitzer Differentialgleichungen massiver 2-Schleifen Beiträge zur Zweipunktfunktion bachelor thesis
August 2015 MaPhy-AvH/2015-09 Lutz Klaczynski Haag’s Theorem
in Renormalisable Quantum Field Theories
PhD thesis
September 2015 MaPhy-AvH/2015-10 Spencer Bloch Feynman Amplitudes in Mathematics and Physics ICMAT Proceedings
September 2015 MaPhy-AvH/2015-11 Michael Borinsky Algebraic lattices in QFT renormalization
preprint
September 2015 MaPhy-AvH/2015-12 Julian Purkart The signed permutation group on feynman graphs master thesis
September 2015 MaPhy-AvH/2015-13 David Prinz The Corolla Polynomial for
spontaneously broken Gauge Theories
master thesis
September 2015 MaPhy-AvH/2015-14 Dmitry Doryn Dual Graph Polynomials and a 4-face Formula preprint
September 2015 MaPhy-AvH/2015-15 Claire Glanois Periods of the motivic fundamental groupoid of P^1 {0, μ_N , ∞} PhD thesis
October 2015 MaPhy-AvH/2015-16 Christian Bogner MPL – a program for computations with iterated
integrals on moduli spaces of curves of genus zero
preprint
December 2015 MaPhy-AvH/2015-17 Spencer Bloch and Dirk Kreimer Cutkosky Rules and Outer Space preprint
December 2015 MaPhy-AvH/2015-18 Erik Panzer On the computation of form factors in massless QCD with finite master integrals preprint
December 2015 MaPhy-AvH/2015-19 Markus Hihn The generalized Chord Diagram Expansion PhD Thesis
December 2015 MaPhy-AvH/2015-20 Julian Purkart
The signed permutation group on Feynman graphs
preprint
December 2015 MaPhy-AvH/2015-21 Luise Adams, Christian Bogner, Stefan Weinzierl
The iterated structure of the all-order result for the two-loop sunrise integral
preprint
December 2015 MaPhy-AvH/2015-22 Michael Borinsky Feynman diagrams and their algebraic lattices preprint
December 2015 MaPhy-AvH/2015-23 Erik Panzer The parity theorem for multiple
polylogarithms
preprint
Year 2016
January 2016 MaPhy-AvH/2016-01 Lutz Klaczynski RESURGENT TRANSSERIES and DYSON-SCHWINGER EQUATIONS preprint
February 2016 MaPhy-AvH/2016-02 Lutz Klaczynski HAAG’S THEOREM IN RENORMALISED QUANTUM FIELD THEORIES preprint
February 2016 MaPhy-AvH/2016-03 Markus Hihn and Karen Yeats GENERALIZED CHORD DIAGRAM EXPANSIONS OF
DYSON-SCHWINGER EQUATIONS
preprint
February 2016 MaPhy-AvH/2016-04 L.Adams, C.Bogner, S.Weinziel A walk on sunset boulevard preprint
February 2016 MaPhy-AvH/2016-05 Anny Bley Cutkosky Cuts at Core Hopf Algebra master thesis
February 2016 MaPhy-AvH/2016-06 Henry Kissler Hopf-algebraic Renormalization of QED in the linear covariant Gauge preprint
February 2016 MaPhy-AvH/2016-07 Lucas Delage Leading log expansion of system of combinatorial Dyson Schwinger equations preprint
March 2016 MaPhy-AvH/2016-08 Isabella Bierenbaum, Gustav Kramer Production of massless bottom jets in p ̄
p and pp collisions at
next-to-leading order of QCD
preprint
March 2016 MaPhy-AvH/2016-09 Michael Borinsky Generating asymptotics for factorially divergent sequences preprint
March 2016 MaPhy-AvH/2016-10 Christian Bogner Generalizations of polylogarithms for Feynman integrals preprint
March 2016 MaPhy-AvH/2016-11 David Prinz The Corolla Polynomial for spontaneously broken Gauge Theories preprint
April 2016 MaPhy-AvH/2016-12 David Broadhurst Feynman integrals, L-series and Kloosterman moments preprint
May 2016 MaPhy-AvH/2016-13 Rene Klausen REDUCTION RELATIONS FOR FEYNMAN
INTEGRALS VIA PARAMETRIC ANNIHILATORS
preprint
June 2016 MaPhy-AvH/2016-14 L.Adams, C.Bogner, A.Schweitzer, S.Weinzierl The kite integral to all orders in terms of elliptic polylogarithms preprint
June 2016 MaPhy-AvH/2016-15 Christian Bogner The sunrise integral and elliptic polylogarithms preprint
June 2016 MaPhy-AvH/2016-16 Dirk Kreimer
Cutkosky Rules from Outer Space
preprint
July 2016 MaPhy-AvH/2016-17 H.Kissler, D.Kreimer
Diagrammatic Cancellations and the Gauge Dependence of QED
preprint
September 2016 MaPhy-AvH/2016-18 L.Laudan
Algebren von Feynman-Graphen für verschiedene Kopplungen
Master Thesis
October 2016 MaPhy-AvH/2016-19 D.Kreimer, K.Yeats
DIFFEOMORPHISMS OF QUANTUM FIELDS
preprint
Year 2017
March 2017 MaPhy-AvH/2017-01 Michael Borinsky Renormalized asymptotic enumeration of Feynman diagrams preprint
March 2017 MaPhy-AvH/2017-02 Marcel Golz New graph polynomials in parametric
QED Feynman integrals
preprint
April 2017 MaPhy-AvH/2017-03 David Prinz Algebraic Structures in the Coupling
of Gravity to Gauge Theories
master thesis
May 2017 MaPhy-AvH/2017-04 Christian Bogner Verallgemeinerungen von Polylogarithmen in der Berechnung von
Feynman-Integralen
habil thesis
May 2017 MaPhy-AvH/2017-05 Christian Bogner, Armin Schweitzer, Stefan Weinzierl Analytic continuation and numerical evaluation of the kite
integral and the equal mass sunrise integral
preprint
June 2017 MaPhy-AvH/2017-06 Karen Yeats A SPECIAL CASE OF COMPLETION INVARIANCE FOR THE c_2
INVARIANT OF A GRAPH.
preprint
September 2017 MaPhy-AvH/2017-07 C. Bogner, S. Borowka, T. Hahn, G. Heinrich, S.P. Jones, M. Kerner,
A. von Manteuffel, M. Michel, E. Panzer, V. Papara
Loopedia, a Database for Loop Integrals preprint
September 2017 MaPhy-AvH/2017-08 Marko Berghoff FEYNMAN AMPLITUDES ON MODULI SPACES OF GRAPHS preprint
September 2017 MaPhy-AvH/2017-09 Andre Knispel Combinatorial BRST homology and graph
differentials
Master Thesis
October 2017 MaPhy-AvH/2017-10 Marcel Golz Contraction of Dirac matrices via chord diagrams preprint
June 2017 MaPhy-AvH/2017-11 Armin Schweitzer The Application Of Elliptic Polylogarithms in All
Order Solutions Of Massive Two-Loop Integrals
master thesis
November 2017 MaPhy-AvH/2017-12 Henry Kissler Computational and Diagrammatic
Techniques for Perturbative Quantum
Electrodynamics
PhD Thesis
December 2017 MaPhy-AvH/2017-13 Thomas Bitoun, Christian Bogner, Rene Pascal Klausen, Erik Panzer Feynman integral relations from parametric annihilators preprint
Year 2018
June 2018 MaPhy-AvH/2018-01 Konrad Schultka Toric geometry and regularization of Feynman integral preprint
June 2018 MaPhy-AvH/2018-02 Michael Borinsky Graphs in Perturbation Theory PhD Thesis
June 2018 MaPhy-AvH/2018-03 Max Muehlbauer Moduli Spaces of Feynman Graphs master thesis
June 2018 MaPhy-AvH/2018-04 Oliver Schnetz NUMBERS AND FUNCTIONS IN QUANTUM FIELD THEORY preprint
June 2018 MaPhy-AvH/2018-05 Dirk Kreimer The corolla polynomial: a graph polynomial on
half-edges
LL2018 Proceedings
July 2018 MaPhy-AvH/2018-06 Dirk Kreimer Multi-valued Feynman Graphs and Scattering
Theory
preprint
July 2018 MaPhy-AvH/2018-07 Paul Balduf The propagator and diffeomorphisms
of an interacting field theory
master thesis
July 2018 MaPhy-AvH/2018-08 Henry Kissler On the gauge dependence of Quantum
Electrodynamics
LL2018 proceedings
July 2018 MaPhy-AvH/2018-09 Christian Bogner Analytic continuation of the kite family preprint
August 2018 MaPhy-AvH/2018-10 Marcel Golz Parametric Quantum Electrodynamics PhD Thesis
August 2018 MaPhy-AvH/2018-11 Thomas Bitoun, Christian Bogner, René Pascal Klausen, Erik Panzer The number of master integrals as Euler characteristic LL2018 Proceedings
September 2018 MaPhy-AvH/2018-12 Marko Berghoff and Max Muehlbauer MODULI SPACES OF COLORED GRAPHS preprint
October 2018 MaPhy-AvH/2018-13 Marcel Golz Dodgson polynomial identities preprint


Leave a Reply