New mathematical structures in renormalizable quantum field theories

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New mathematical structures in renormalizable quantum field theories (2002)

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by Dirk Kreimer

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23 - 7 self

Citations

1334	Quantum Field Theory and Critical Phenomena. The - Zinn-Justin - 2002
541	Quantum groups - Kassel, C - 1995
332	Renormalization in quantum field theory and the Riemann–Hilbert problem. II. The β-function, diffeomorphisms and the renormalization group - Connes, Kreimer
200	On the Hopf algebra structure of perturbative quantum field theories - Kreimer - 1998
193	Hopf algebras, cyclic cohomology and the transverse index theorem - Connes, Moscovici - 1998
181	Hopf algebras, renormalization and noncommutative geometry - Connes, Kreimer - 1998
158	From Perturbative to Constructive Renormalization - Rivasseau - 1991
143	Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants - Marino
120	Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops, Phys - Broadhurst, Kreimer - 1997
81	algèbres de Hopf des arbres enracinés décorés - Les
76	Chen’s iterated integral represents the operator product expansion - Kreimer - 1999
61	Loday-type algebras and the Rota–Baxter relation - Ebrahimi-Fard - 2002
53	Galois symmetries of fundamental groupoids and noncommutative geometry - Goncharov
44	Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality - Broadhurst, Kreimer
40	On overlapping Divergences - Kreimer
37	Renormalization automated by Hopf algebra - Broadhurst, Kreimer - 1999
34	Combinatorics of (perturbative) Quantum Field Theory, Phys - Kreimer
31	Insertion and elimination: the doubly infinite Lie algebra of Feynman graphs - Connes, Kreimer
29	Beyond the Triangle and Uniqueness Relations: Non-Zeta Counterterms at Large N from Positive Knots. Zeitschrift fur Physik - Broadhurst, Gracey, et al. - 1997
28	Structures in Feynman graphs: Hopf algebras and symmetries - Kreimer - 2005
26	Knots and Feynman Diagrams - Kreimer - 2000
21	Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees - Broadhurst, Kreimer
19	Combinatoric explosion of renormalization tamed by Hopf algebra: 30-loop Pade-Borel resummation, Phys.Lett. B475 (2000) 63-70, preprint available as hep-th/9912093 - Broadhurst, Kreimer
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11	Unknotting the polarized vacuum of quenched QED - Broadhurst, Delbourgo, et al. - 1999
8	Using the Hopf algebra structure of QFT - Kreimer, Delbourgo - 1999
6	Symétries Galoisiennes et Renormalisation - Connes - 2002
5	Knots and numbers in phi**4 theory to 7 loops and beyond - Broadhurst, Kreimer - 1995
5	On the invariance of residues of Feynman graphs - Bierenbaum, Kreckel, et al. - 2002
3	Some Lessons of Renormalization Theory, in ”The Lessons of Quantum Theory”, J. de Boer et.al - Wightman - 1986
2	An algebraic approach to coarse graining, hep-th/0006199. 25 - Markopoulou - 2000
1	Flavor mixing, gauge invariance and wave-function renormalisation, Phys - Espriu, Manzano, et al. - 2002
1	Trialgebras and families of polytopes, mathat/0205043, and references there - Loday, Ronco
1	Très anciennes et très nouvelles méthodes de sommation de séries divergentes, talk given at Colloque - Ramis - 2002
1	motives and a conjecture of Kontsevich, math.ag/0012198 - Belkale, Brosnan, et al.
1	Regularization-Independent Gauge-Invariant Renormalization of the Yang–Mills Theory, Theor - Slavnov - 2002