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 |